M4maths Previous Puzzles

26 Sep 2013 Percentage

Fill in the blank
56% of 112 = 112% of .........

OPtion

1) 23
2) 46
3) 25
4) 26
5) 56
6) 52
7) 36
8) 100
9) 112
10) None of these

Solution

Suppose x% of y is y% of ?
x % of y is xy/100
so considering this y % of (x) is xy/100 which equates the both eqns.
ans :: x

same condition
ans is 56
option 5)

Correct Option: 5 Best Solution (129)

Mithlesh Prasad   11 years AGO

56/100*112=112/100*x
on solving, x=56

Like? Yes (9) | No (2)  

Rats   11 years AGO

(56/100)*112=(112/100)*x
x=56

Like? Yes (5) | No   

Madhu pericherla   11 years AGO

56% of 112 = 112% of .........
(56/100)*112=(112/100*x
while solving x=56

Like? Yes (5) | No   

devendra kumar gond   11 years AGO

solving it 56
112*(56/100)=x*(112/100)
calculating it we get x=56

Like? Yes (3) | No   

Himanshu Kumar Gupta   11 years AGO

(56/100)*112=(112/100)*x
on simplifying the above equation we get x=56

Like? Yes (3) | No   

Suman Saurabh   11 years AGO

56% of 112= 62.72
Let number is x.
A/Q 112% of x= 62.72
x=56

Like? Yes (3) | No   

Rashmi bharti   11 years AGO

0.56*112=112% of x;
(56/100)*112 = 112/100*x;
x =56

Like? Yes (2) | No   

FAISAL RIZWAN   11 years AGO

56% of 112 =62.72
112% of x=62.72 is equal to 56
So option 5 is correct

Like? Yes (2) | No   

priya   11 years AGO

56%of112=62.7 likewise 112% of 56 =627.2

Like? Yes (2) | No   

rohit kumar   11 years AGO

56*112/100=112*x/100
after solving,we get
x=56

Like? Yes (1) | No   

Devendra Marghade   11 years AGO

(56/100)*112=(112/100)*x
x=(56*100*112)/(100*112)= 56

Like? Yes (1) | No   

Sandeep R   11 years AGO

56% of 112 = 56*112/100
112% of x = 112*x/100

=> 56*112/100 = 112*x/100
=> x=56

Like? Yes (1) | No   

kunwar prabhakar singh   11 years AGO

(56*112)/100=(112*y)/100
y=56

Like? Yes (1) | No   

vigneshwari   11 years AGO

56% of 112 = 112% of X
56/100 x 112 = 112/100 x X
X = 56.

Like? Yes (1) | No   

ShAg   11 years AGO

(56/100)*112 = (112/100)*56

Like? Yes (1) | No   

Bholanath    11 years AGO

56*112/100=112*x/100
x=56

Like? Yes (1) | No   

sandy   11 years AGO

(56/100)*112=62.72
according to que
(112/100)*x=62.72
112x=6272
x=56
therefore 56% of 112=112% of 56

Like? Yes (1) | No   

Divya Srivastava   11 years AGO

56*112/100 = 112*56/100

Like? Yes (1) | No   

Anantharaman   11 years AGO

(56*112)/100 = 62.72

(112*x)/100=62.72

x=(62.72*100)/112 = 56

Like? Yes (1) | No   

ashiwani kumar singh   11 years AGO

(56*112)/100=(112*p)/100
p=56

Like? Yes (1) | No   

Anuj kumar   11 years AGO

=>(56/100)*112=(112/100)*x
=>so x=56

Like? Yes (1) | No   

Chandni Maurya   11 years AGO

ans=(5). 56
56/100*112=112/100*x
=>x=(56/100*112)/(112/100)
=>x=56

Like? Yes (1) | No   

Shweta Daas   11 years AGO

56*112/100=112*x/100

so x=56

Like? Yes (1) | No   

DINKAR BHARTI   11 years AGO

56% of 112=62.72
let the required no be x.
then,
112% of x=62.72
so, x=56
hence opt(5)is corret.

Like? Yes (2) | No (1)  

Vikram Saini   11 years AGO

112% of 56

Like? Yes (1) | No   

Kunal Verma   11 years AGO

56% OF 112=62.72
=112%OF x=62.72
x = 56

Like? Yes (1) | No   

Sneha   11 years AGO

In general a% of b = b% of a.
So, 56% of 112 = 112% of 56.
56% of 112=(56*112)/100=62.72
112% of 56=(112*56)/100=62.72

Like? Yes (1) | No   

Dinesh thatti   11 years AGO

56%112=62.72

similarly

112%56=62.72

so answer is 56

Like? Yes (1) | No   

harikrishna   11 years AGO

suppose 10% of 100=100% of 10
so that
56% of 112=112% of 56
ans=56

Like? Yes (1) | No   

vijayaragavan   11 years AGO

(56/100)*112=62.72 (112/100)*x=62.72 x=62.72/1.12 ans is 56

Like? Yes (1) | No   

sanjay kumar saha   11 years AGO

56% of 112 = 112% of 56
56*112/100=112*56/100

Like? Yes (1) | No   

KARIMUL SANFUI   11 years AGO

112*(56/100)=x*(112/100).
x=56.

Like? Yes (1) | No   

Grishma Shah   11 years AGO

As given,
56% of 112 = 112% of x
112 * 0.56 = 1.12 * x

Therefore, x = 56

Like? Yes (1) | No   

Bhargaviinduri   11 years AGO

given 56% of 112=62.72
by verifying options 112% of 56=62.72
so answer is 56

Like? Yes (1) | No   

HARJINDER SINGH   11 years AGO

let 56% of 112=112% of x
56% of 112=62.72
let
now,
(112*x)/100=62.72
so,x=56

Like? Yes (1) | No   

Bingumalla Abinay   11 years AGO

56*112/100=112*x/100

x=56

Like? Yes (1) | No   

krishnapriya   11 years AGO

56% of 112=1568/25
112% of 56=1568/25
so, both are equal

Like? Yes (1) | No   

Harshit Gupta   11 years AGO

56% of 112 = (56*112)/100 = 62.72

112% of x = 62.72

(112*x)/100 = 62.72

=> x = 56

Like? Yes (1) | No   

akshay anand   11 years AGO

112*56/100=X*112/100
X=56

Like? Yes (1) | No   

Amisha Agarwal   11 years AGO

56% OF 112=62.72
=112%OF x=62.72
x = 56

Like? Yes (1) | No   

Koushik Ghosh   11 years AGO

by simple percentage calculation its 112. as 56 % of 112 = 62.72 and 112 % of 56 = 62.72

Like? Yes (1) | No   

Arvind Kumar Mishra   11 years AGO

56*112/100=112*56/100

Like? Yes (1) | No   

Ajit Kumar Singh   11 years AGO

112*56/100=112*x/100
X=56

Like? Yes (1) | No   

Manju   11 years AGO

(56*112)/100 = (112*x)/100
=> x=56

Like? Yes (1) | No   

Amresh kumar   11 years AGO

56% OF 112=62.72 =112%OF x=62.72
=>x = 56

Like? Yes (1) | No   

samrat chowdhury   11 years AGO

56x112/=112xX/100=56

Like? Yes (1) | No   

Raju Sharma   11 years AGO

ans= 56

Like? Yes (1) | No   

palakurthy tanuja   11 years AGO

56% of 112 is 62.72
56/100*112=62.72
similarly 112/100*56=62.72

Like? Yes (1) | No   

Balakrishnan M   11 years AGO

56% of. 112= 112% of. x
(56/100)*112=(112/100)*x
x=(56/100)*(100/112)*112
x=56

Like? Yes (1) | No   

Parthiban C   11 years AGO

56*112/100=112*x/100,
then x=56.

Like? Yes (1) | No   

seethala chanakya   11 years AGO

56% of 112=62.72

and

112% of 56=62.72

hence ans=56 i.e., 4 th option

Like? Yes (1) | No   

prabhat kumar   11 years AGO

56% of 112=62.72
so,
112% of 56 =62.72
explanation:-
(56*112)/100=62.72 in both case we get this equation.

Like? Yes (1) | No   

Mayuresh Srivastava   11 years AGO

112*(56/100)=x*(112/100)
x=56.

Like? Yes (1) | No   

chirag jain   11 years AGO

let the no be X
now.
(112*56)/100= (X*112)/100

from this equation we get
X= 56

Like? Yes (1) | No   

Vasavi Sarika   11 years AGO

(56/100)*112=(112/100)*x
x=56

Like? Yes (1) | No   

sriganesh   11 years AGO

(56/100)*112=(112*100)x
by solving this we get
x=56

Like? Yes (1) | No   

Yogesh Bairagi   11 years AGO

(56*112)/100 = (112*x)/100
x = 56

Like? Yes (1) | No   

rajesh   11 years AGO

56*112/100=112*x/100
by solving we get
x=56

Like? Yes (1) | No   

Disha Agarwal   11 years AGO

(56/100)*112=(112/100)*x
56=x

Like? Yes (1) | No   

sudipta sadhukhan   11 years AGO

x% of y means xy/100.
and y% of x means xy/100.

Like? Yes (1) | No   

Ravishankar Karn   11 years AGO

Let the no is X
then
0.56*112= x*1.12
x=56

Like? Yes (1) | No   

Ezhilarasi   11 years AGO

56%of 112=(56/100)*112=62.72
62.72=112%of x
62.72=(112/100)*x
62.72=1.12*x
x=62.72/1.12
x=56

Like? Yes (1) | No   

Prakash Singh   11 years AGO

(56/100)*112= (112/100)*56

Like? Yes (1) | No   

jatin patware   11 years AGO

oviosly option 5 is correct

Like? Yes (1) | No   

shabana Ismail   11 years AGO

56% of 112=112% of x
(56/100)*112=(112/100)*x
0.56*112=1.12x
62.72=1.12x
x=62.72/1.12
x=56

Like? Yes (1) | No   

ravi chandra singh   11 years AGO

112*56/100=62.72

so,

112*x/100=62.72

x=56

option 5 is the ans

Like? Yes (1) | No   

Pavithra   11 years AGO

(56/100)*112=(112/100)x
0.56*112=1.12x
x=56

Like? Yes (1) | No   

Pushpinder   11 years AGO

56/100X112=112/100Xx
so,, 56

Like? Yes (1) | No   

Sanampreet Singh   11 years AGO

56% of 112 = (112x56)/100
112% of a = (ax112)/100
now, both are equal.
So, a=56

Like? Yes (1) | No   

N.S.Srimadhur   11 years AGO

as we know that m% of n is equal to n% of m so answer for this question is 56 (5)

Like? Yes (1) | No   

Ashutosh Dixit   11 years AGO

56*112/100= 112*x/100;
so answer is 56.

Like? Yes (1) | No   

saisaranya   11 years AGO

simple 112 % of 56= 56 % of 112

Like? Yes (1) | No   

riya chouria   11 years AGO

because when (56/100)*112=(112/100)*56

Like? Yes (1) | No   

ravi singh   11 years AGO

its a simple calculation of percentage

Like? Yes (1) | No   

kumar sundram   11 years AGO

(56/100)x112=(112/100)xY
so,Y=56.

Like? Yes (1) | No   

Deepa   11 years AGO

56% of 112=112% of?
56*112/100=112*x/100
62.72=112*x/100
x=56

Like? Yes (1) | No   

ANKIT SHRIVASTAVA   11 years AGO

its all d same both sides

Like? Yes (1) | No   

prakash kumar   11 years AGO

0.56*112=1.12*x
x=56

Like? Yes (1) | No   

devipriya   11 years AGO

(56*112)/100=62.72
so now go by option verification we vil get d d same value for (112*56)/100=62.72 reference percentages basics.

Like? Yes (1) | No   

rohit kumar   11 years AGO

(56/100)*112=(112/100)*x
x=56

Like? Yes (1) | No   

sujitha maddula   11 years AGO

given,56/100*112=62.72
we need to find 112/100*X=62.72
X=62.72*100/112
X=56

Like? Yes (1) | No   

Nagarjuna   11 years AGO

a%b=b%a so

Like? Yes (1) | No   

sanjay singh   11 years AGO

(56/100)*112=112/100*56

Like? Yes (1) | No   

sushavan mitra   11 years AGO

56% of 112= (56*112)/100
let our ans be X.
so, 112% of X= (112*X)/100.
thus X=56.

Like? Yes (1) | No   

suman gupta   11 years AGO

56*112/100=112*x/100
x=56

Like? Yes (1) | No   

D venkatesh babu   11 years AGO

56/100*112=112/100*x
therfore x=56

Like? Yes (1) | No   

abhinav paul   11 years AGO

56/100*112=62.72
now, 112*x/100=62.72
so ans=56

Like? Yes (1) | No   

ASHISH   11 years AGO

56% of 112=(56/100)*112=(112/100)*56=112% of 56.

Like? Yes (1) | No   

Totan Shit   11 years AGO

(56/100)of 112=(112/100)of x(let)
x=56

Like? Yes (1) | No   

saima kidwai   11 years AGO

56/100*112=112/100*x
x=56

Like? Yes (2) | No (1)  

neha tiwari   11 years AGO

56% of 112=62.72
and 112%of 56=62.72

Like? Yes (1) | No   

Shashi Kumar Gupta   11 years AGO

let the no. is x...
56% of 112 = 62.72

112% of x = 62.72,,,,
i.e x=56

Like? Yes (1) | No   

Anil Kumar Bharti   11 years AGO

Exp:
56% of 112 = 112% of .........
(56/100) * 112 = (112/100)*X
After solve it
X=56 Ans

Like? Yes (1) | No   

saurabh prakash   11 years AGO

56*112/100=112*x/100

Like? Yes (1) | No   

Tanvi   11 years AGO

(56/100)*112=(112/100)*x
=>x=56

Like? Yes (1) | No   

Chandni Sinha   11 years AGO

x%y=y%x
hence,56% 0f 112 = 112% of 56

Like? Yes (1) | No   

LOGAN WOLVERINE   11 years AGO

the result in percentage is a% of b = b % of a
so
56 % of 112 = 112 % of 56
option 5

Like? Yes (1) | No   

Mahaveer Saini   11 years AGO

When 56*112/100=62.72 then 112*56/100=62.72

Like? Yes (1) | No   

Thirumalai   11 years AGO

56% of 112=62.72
112% of 56=62.72

Like? Yes (1) | No   

shradhya singh   11 years AGO

since 56%of 112= 56*112/100
hence from ques.:
112%of x= 56%of112/100
so x=56

Like? Yes (1) | No   

Amit Kumar   11 years AGO

(56/100)*112=(112/100)*56

Like? Yes (1) | No   

Ritu Khilrani   11 years AGO

(56/100)*112 = (112/100)*x;
solving
we get x = 56

Like? Yes (1) | No   

SHIVANI PRAKASH   11 years AGO

56/100*112=112/100*56

Like? Yes (1) | No   

samayamantula naga venkata Chandra kishore   11 years AGO

(56/100)*112= (112/100)*x
by solving x=56

Like? Yes (1) | No   

Ramesh.V   11 years AGO

56% of 112 = 112% of 56 it can be reverse .

Like? Yes (1) | No   

Santan kumar   11 years AGO

56% of 112= (56/100)*112=(112/100)*56

Like? Yes (1) | No   

Rahul Goyal   11 years AGO

a%of b = b% of a

Like? Yes (1) | No   

Rama Devi Perumalla   11 years AGO

56*112/100 = 112*56/100

Like? Yes (1) | No   

SUNDARAM   11 years AGO

Let the unknown value be A,

(56/100)*112=(112/100)*A


A=(112/112)*(100/100)*56

Thus, A=56(ans)

Like? Yes (1) | No   

navaneet kumar   11 years AGO

(56/100)*112=(112/100)*x
On solving,
x=56

Like? Yes (1) | No   

mohini gupta   11 years AGO

56*112/100=112*56/100

Like? Yes (1) | No   

Virendra Patidar   11 years AGO

%=a/any quantity given

Like? Yes (1) | No   

kuldeep chandra   11 years AGO

56/100*112=62.72 and 112/100*56=62.72
for example- 10% of 50=5 and 50% of 10=5
so answer is 5)56

Like? Yes (1) | No   

Sangeeth   11 years AGO

a X b = b x a
0.56 x 112 = 1.12 x 56

Like? Yes (1) | No   

kwatra   11 years AGO

56*112/100 ===112*56/100

Like? Yes (1) | No   

SAHAYA NISELY N   11 years AGO

56/100*112=112/100*x
cancel 100 and 112
x=56

Like? Yes (1) | No   

vijay kumar   11 years AGO

112*56/100=112/100*x
so, x=56

Like? Yes (1) | No   

aman kumar tiwari   11 years AGO

56%of 112=112%of 56

Like? Yes (1) | No   

rama jha   11 years AGO

56% of 112 = 112% of x
to find x
(56*56)/50 = 112/100 of x
therefore on solving we get..
x=56
All d best!!!!!!

Like? Yes (1) | No   

keerthika manoharan   11 years AGO

because 56/100*112=112/100*x
x=56

Like? Yes (1) | No   

Anusha A   11 years AGO

56 * 112/100=112/100* 56

Like? Yes (1) | No   

anubhav   11 years AGO

a*b=b*a

Like? Yes (1) | No   

SURYA PRATAP YADAV   11 years AGO

(56/100)*112=(112/100)*x
=> x=56

Like? Yes (1) | No   

Chithra   11 years AGO

X=56/100*112*100/112
x=56

Like? Yes (1) | No   

Udhaya kumar   11 years AGO

112*56/100=112x/100
x=56

Like? Yes (1) | No   

nilofer thaslima   11 years AGO

56% of 112=62.72 then 112% of x=62.72 ,x value=56

Like? Yes (1) | No   

vignesh   11 years AGO

56% of 112 = 112% of56

a% of b = b% of a

Like? Yes (1) | No   

YUVAN SATHAIAH   11 years AGO

(56/100)*112=62.72
(112/100)*56=62.72
both are value is equal
answer=56

Like? Yes (1) | No   

Piyush Kumar   11 years AGO

56% of 112=62.72
112% of x=62.72
x=62.72*(100/112)=56

Like? Yes (1) | No   

25 Sep 2013 Coded Language

If in a coded language
20% of 50 = 32
60% of 20 = 36
80% of 30 = 512
Then
40% of 10 = ?

OPtion

1) 256
2) 343
3) 16
4) 4
5) 181
6) 64
7) 27
8) 216
9) 144
10)None of these

Solution

In this coded language
20% of 50 = 2^5 = 32
60% of 20 = 6^2 = 36
80% of 30 = 8^3 = 514
Similarly
40% of 10 = 4^1 = 4
option 4

Correct Option: 4 Best Solution (76)

Bholanath    11 years AGO

20% of 50= 2^5=32
60% of 20=6^2=36
80% of 30=8^3=512
so,
40% of 10=4^1=4

Like? Yes (38) | No (4)  

kunwar prabhakar singh   11 years AGO

since,20%of50=10=2*5,so for coded language it becomes,2^5=32
similarly,60%of 20=12,so for coded language it becomes,6^2=36
and 80%of 30=24,so for coded language it becomes
8^3=512
Hence,40%of10=4,so for coded language it becomes
2^2=4
so option 4 is the correct answer

Like? Yes (4) | No (1)  

HARJINDER SINGH   11 years AGO

20% of 50=2^5=32
60% of 20=6^2=36
80% of 30=8^3=512
similarly,
40% of 10=4^1=4.
hence,option 4.

Like? Yes (3) | No   

Dr.Dipin Singh   11 years AGO

If in a coded language
20% of 50 = 2^5=32
60% of 20 = 6^2= 36
80% of 30 = 8^3=512
Then
40% of 10 = 4^1=4 ... option 4

Like? Yes (3) | No   

DINKAR BHARTI   11 years AGO

2+0=2 & 5+0=5 then 2^5=32
6+0=6 & 2+0=2 then 6^2=36
8+0=8 & 3+0=3 then 8^3=512
similarly
4+0=4 & 1+0=1 then 4^1=4
hence opt(4) is corret.

Like? Yes (4) | No (2)  

devendra kumar gond   11 years AGO

we know that this is 2^5=32;then 2*5=10
similarly 6^2=36& then 6*2=12
similarly 8^3=512& then 8*3=24
similarly 4^1=1 then 4*1=4

Like? Yes (2) | No (1)  

Himanshu Kumar Gupta   11 years AGO

2^5=32
6^2=36
8^3=512
THEREFORE 4^1=4

Like? Yes (2) | No (1)  

Aman Kohli   11 years AGO

2^5=32
6^2=36
8^3=512
4^1=4

Like? Yes (1) | No   

rama jha   11 years AGO

20% of 50 = 32 i.e 10 = 32 i.e 2*5 = 32 i.e 2^5=32
60% of 20 = 36 i.e 12 = 36 i.e 6*2 = 36 i.e 6^2=36
80% of 30 = 512i.e 24 = 512i.e 8*3 = 512i.e8^3=512
so...

40% of 10 = 4 i.e 4*1=4 i.e 4^1=4
therefore 4 is the ans All D Best!!!!

Like? Yes (1) | No   

lucky raj   11 years AGO

2^5=32;
6^2=36;
8^3=512;
so, 4^1=4.

Like? Yes (1) | No   

seethala chanakya   11 years AGO

ans was option 4)4

becoz 2^5=32
6^2=36
8^3=512 (neglect zeros)
therefore 4^1=4

Like? Yes (1) | No   

FRANKLIN VIJAY   11 years AGO

2^5= 32
6^2= 36
8^3= 512
so 4^1= 4

Like? Yes (2) | No (1)  

Parthiban C   11 years AGO

2^5=32,
6^2=36,
8^3=512,
4^1= 4 =ans

Like? Yes (2) | No (1)  

Harshit Singh   11 years AGO

in 20% of 50 = 32
5 times of 2 = 32
similarly
2 times of 6 = 36
3 times of 8 = 512
hence,
40% of 10 = 4
by
1 time of 4 =4
ANSWER: 4

Like? Yes (1) | No   

rajesh   11 years AGO

20% of 50 =2^5= 32
60% of 20 =6^2= 36
80% of 30 =8^3= 512
similarly,
40% of 10 =4^1= 4

Like? Yes (1) | No   

Ajit Kumar Singh   11 years AGO

2^5=32
6^2=36
8^3=512
4^1=4

Like? Yes (2) | No (1)  

LOGAN WOLVERINE   11 years AGO

20% of 50 is 2^5=32
60% of 20 is 6^2=36
80% of 30 is 8^3=512
similarly
40% of 10 is 4^1=4
option 4

Like? Yes (1) | No   

Harjit kaur   11 years AGO

2^5=32
6^2=36
8^3=512
So
4^1=4

Like? Yes (1) | No   

Yashica Saraogi   11 years AGO

20% 50=10=2*5=32
60% 20=12=2*6=6^2=36
80% 0f 30=24=8*3=8^3=512
40% of 10=4=2*2=2^2=4

Like? Yes (1) | No   

shivani panchani   11 years AGO

2^5=32
6^2=36
8^3=512
then
4^1=4

Like? Yes (1) | No   

Neha Sharma   11 years AGO

here 20% of 50 = 2^5 = 32
60% of 20 = 6^2 = 36
80% of 30 = 8^3 = 512
Then
40% of 10 = 4^1 = 4 ?

Like? Yes (1) | No   

FAISAL RIZWAN   11 years AGO

Here 2^5=32
6^2=36
8^3=512
then 4^1=4

answer is option 4

Like? Yes (2) | No (1)  

vipul malik   11 years AGO

20% of 50 = 2^5 = 32
60% 0f 20 = 6^2 = 36
80% of 30 = 8^3 = 512
so,
40% of 10 = 4^1 = 4

Like? Yes (1) | No   

Sathi Reddy   11 years AGO

20% of 50= (20/100)*50=2^5=32
60% of 20=6^2=36
80% of 30=8^3=512
therefore, 40% of 10=4^1=4

Like? Yes (1) | No   

prabhat kumar   11 years AGO

2^5=32
6^2=36
8^3=512
hence
4^1=4

Like? Yes (1) | No   

nupur kamboj   11 years AGO

multipling 2 five times =32
6 two times=36
8 three times=512
so 4 one time=4

Like? Yes (1) | No   

surbhi rathaur   11 years AGO

2^5=32, 6^2=36, 8^3=512, in the same fashion 4^1=4

Like? Yes (1) | No   

Mayuresh Srivastava   11 years AGO

20% of 50=2^5=32.
60% of 20=6^2=36.
80% of 30=8^3=512.
40% of 10=4^1=4.

Like? Yes (1) | No (1)  

Amisha Agarwal   11 years AGO

2^5=32
6^2=36
8^3=512 thn 4^1=4

Like? Yes (1) | No (1)  

Rats   11 years AGO

2^5=32
6^2=36
8^3=512
So,
4^1=4.......Ans

Like? Yes (1) | No (1)  

Dinesh thatti   11 years AGO

10(5*2)=32(2^5)

12(2*6)=36(6^2)

24(3*8)=512(8^3)

4(1*4)=4(4^1)

so answer is 4

Like? Yes (1) | No (1)  

rohit kumar   11 years AGO

2^5=32
6^2=36
8^3=512
so,
4^1=4

Like? Yes (1) | No (1)  

sudipta sadhukhan   11 years AGO

20% of 50=32 => 2^5=32
so 40% of 10 => 4^1=4

Like? Yes (1) | No (1)  

Bingumalla Abinay   11 years AGO

simply ignore zeros and do power of a,b
2^5=32
6^2=36
8^3=512
so 4^1=4

Like? Yes (1) | No (1)  

chinta.dhanalakshmi   11 years AGO

the logic is 2^5=32
6^2=36
8^3=512
that means "1st digit in %(power)first digit in 2nd number=ans so answer===4^1==4

Like? Yes (1) | No (1)  

Anantharaman   11 years AGO

Taken the fist digit of the percentage to the power of first digit of the number
20% of 50 = 2^5 = 32
60% of 20 = 6^2 = 36
80% of 30 = 8^3 = 512
Then 40% of 10 = 4^1 = 4
Ans:4 (Option 4)

Like? Yes (1) | No (1)  

kumar sundram   11 years AGO

here, 2^5=32;
6^2=36;
8^3=512;
so, 4^1=4.

Like? Yes (1) | No (1)  

Sandeep R   11 years AGO

2(0)% of 5(0) = 2^5 = 32
6(0)% of 2(0) = 6^2 = 36
8(0)% of 3(0) = 8^3 = 512
so
4(0)% of 1(0) = 4^1 = 4

Like? Yes (1) | No (1)  

Arjun Singh Rajawat   11 years AGO

20% of 50=32=25=2*2*2*2*2=32
60%of 20=36=62=6*6=36
80% of 30=512=83=8*8*8=512
Then 40% of 10=41=4
ans is 4

Like? Yes (1) | No (1)  

Prakash Singh   11 years AGO

20% of 50=(2^5)=32
60% of 20=(6^2)=36
80% of 30=(8^3)=512
so 40% of 10=(4^1)=4

Like? Yes (1) | No (1)  

Koushik Ghosh   11 years AGO

the coded language is given by taking the first 2 digits of lhs and raising the power of 1st term to the 2nd term as follows :
0.2 * 50 = (2^5) = 32
0.6 * 20 = (6^2) = 36
0.8*30 = (8^3) = 512

similarly

0.4*10 = (4^1) = 4

Like? Yes (1) | No (1)  

Amresh kumar   11 years AGO

20% of 50 =>2^5=32
60% of 20 =>6^2=36
80% of 30 =>8^3=512
therefore,
40% 0f 10 =>4^1=4
so option(4) is the answer

Like? Yes (1) | No (1)  

Kunal Verma   11 years AGO

2^5=32
6^2=36
8^3=512 thn 4^1=4

Like? Yes (1) | No (1)  

sravani   11 years AGO

2^5=32
6^2=36
8^3=512
4^1=4

Like? Yes (1) | No (1)  

Anuj kumar   11 years AGO

20%of 50=32 is decoded as 2^5=32
60%of 20 is decoded as 6^2=36
80% of 30 is decoded as 8^3=512
so 40 % of 10 is decode as 4^1=4

Like? Yes (1) | No (1)  

Suresh Varma P   11 years AGO

20% of 50 = 2^5 = 32
60% of 20 = 6^2 = 36
80% of 30 = 8^3 = 512
40% of 10 = 4^1 = 4
Ans: option 4

Like? Yes (1) | No (1)  

Devendra Marghade   11 years AGO

x% of y= (x/10)^(y/10), so
20% of 50= 2^5=32
60% of 20= 6^2=36
80% of 30= 8^3=512
40% of 10= 4^1=4

Like? Yes (1) | No (1)  

sivaraman   11 years AGO

20% of 50 so 2^5=32

.
.
.
so 40% of 10 =4^1=4 is answer

Like? Yes (1) | No (1)  

sandy   11 years AGO

given that if
20% of 50 =2^5= 32
60% of 20 =6^2= 36
80% of 30 =8^3= 512
so therefore
40% of 10 =4^1= 4

Like? Yes (1) | No (1)  

asheesh patel   11 years AGO

2^5=32
6^2=36
8^3=512
4^1=4

Like? Yes (1) | No (1)  

ashiwani kumar singh   11 years AGO

2^5=32
6^2=36
8^3=24
4^1=4

Like? Yes (1) | No (1)  

IFFAT IRAM   11 years AGO

2^5=32
6^2=36
8^3=512
so,
4^1=4
option 4

Like? Yes (1) | No (1)  

Totan Shit   11 years AGO

2^5=32
6^2=36
8^3=512
then 4^1=4(Ans)

Like? Yes (1) | No (1)  

harikrishna   11 years AGO

20% of 50 = 32 means 2^5 = 32
60% of 20 = 36 means 6^2 = 36
so that
40% of 10 = 4 means 4^1 = 4

Like? Yes (1) | No (1)  

Ashok singh   11 years AGO

2 ^ 5 = 32
6 ^ 2 = 36
8 ^ 3 = 512
4 ^ 1 = 4 it is answer

Like? Yes (2) | No (2)  

divyang patel   11 years AGO

1.20% of 5---> 2^5=32
2. 6^2=36
3. 8^3=512
4. 4^1=4

Like? Yes (1) | No (1)  

preeti sinha   11 years AGO

2^5=32
6^2=36
8^3=512
therefore, 4^1=4

Like? Yes (1) | No (1)  

Ravi Kant Sharma   11 years AGO

20%of 50=(20/100)*50=2*5 which means 2^5=32
Similarly, 60%of 20=6^2=36
So,40% of 10 =4^1=4
Hence option 4 is correct.

Like? Yes (1) | No (1)  

Shashi Kumar Gupta   11 years AGO

given,,ab% of cd =a^c

so.. 40% 0f 10 = 4^1=4

Like? Yes (1) | No (1)  

MANOJ KUMAR   11 years AGO

2^5=32
6^2=36
8^3=512

so,4^1=4

Like? Yes (1) | No (1)  

Mithlesh Prasad   11 years AGO

since,2^5=32
6^2=36
8^3=512
therefore,4^1=4

Like? Yes (1) | No (1)  

prakash kumar   11 years AGO

20% of 50=2^5=32
60% of 20=6^2=36
80% of 30=8^3=512
40% of 10=4^1=4

Like? Yes (1) | No (1)  

samayamantula naga venkata Chandra kishore   11 years AGO

2^5=32, 6^2=36, 8^3=512 then 4^1=4

Like? Yes (1) | No (1)  

praneeth   11 years AGO

20% of 50=32;ie 2^5=32
60% of 20=36;ie 6^2=36
80% of 30=512;ie 8^3=512
now
40% of 10=4;ie 4^1=4
so answer is 4

Like? Yes (1) | No (1)  

chirag jain   11 years AGO

2^5= 32
6^2= 36
8^3= 512
therefore similarly 4^1= 4

Like? Yes (1) | No (1)  

J.THARVEES MAIDEEN   11 years AGO

2^5 is 32
6^2 is 36
8^3 is 512
4^1 is 4

Like? Yes (1) | No (1)  

sanjay kumar saha   11 years AGO

2^5=32
6^2=36
8^3=512
4^1=4

Like? Yes (1) | No (1)  

ITHA Naresh Babu   11 years AGO

2^5=32
6^2=36
8^3=512
4^1=4

Like? Yes (1) | No (1)  

Bhargaviinduri   11 years AGO

20% of 50=20*50/100=2*5
answer is 4
given 2*5=32 i.e 2^5
similarly
60% of 20=6^2=36
80% of 30=8^3=512
hence 40% of 10=4^1=4

Like? Yes (1) | No (1)  

kwatra   11 years AGO

ans is 4 as:-
2^5=32
8^3=512
6^2=36
...4^1=4

Like? Yes (1) | No (1)  

KALIDASS   11 years AGO

Take difference and division for first two numbers.
for first digit
5-2=3
6/2=3
8-3=5
4/1=4

Like? Yes (1) | No (1)  

mohini gupta   11 years AGO

2^5=32
6^2=36
8^3=512
4^1=4

Like? Yes (1) | No (1)  

remoraja   11 years AGO

2^5=32
6^2=36
8^3=512
4^1=4

Like? Yes (1) | No (1)  

manasa epuru   11 years AGO

25=32
62=36
83=512
41=4

Like? Yes (1) | No (1)  

Ramesh.V   11 years AGO

20% of 50 =32 means
2^5=32
6^2=36
8^3=512
so
4^1=4.
ans option is 4.

Like? Yes (1) | No (1)  

jatin patware   11 years AGO

2^5=32
6^2=36
8^3=512
so 4^1=4
so option 4 is correct

Like? Yes (1) | No (1)  

24 Sep 2013 Quadratic Equation

Given that one root of the equation ax^2+bx+c=0 is three times the other, Then 3b^2 = ?

OPtion

1) ac
2) 8ac
3) 9ac
4) 5a^2.c^2
5) 14ac
6) 16a^2.c
7) 16ac
8) 8ac^2
9) 12ac
10)None of these

Solution

Let one root be x, then other root will be 3x
x+3x=-b/a ---- 4x=-b/a (i)
x*3x=c/a ---- 3x^2=c/a (ii)
Substituting x form (i) into (ii)
solve
3b^2=16ac
option 7)

Correct Option: 7 Best Solution (50)

Anuj kumar   11 years AGO

LET TWO ROOT OF EQUATION ARE d band 3d
then according to ques,
sum of root=>
d+3d=-b/a
solving this we get
4d=-b/a..........eqn 1
and product of root
3d^2=c/a..........eqn 2
putting value of d from eqn 1 into 2 we get
3b^2/16a=c
so 3b^2=16ac

Like? Yes (25) | No (7)  

Rats   11 years AGO

Let the roots be x and 3x.
sum of roots=-b/a=4x
squaring both sides
b^2/a^2=16x^2.......(1)
and product of roots=c/a=3x^2.......(2)
Solving (1) and (2), we get
3b^2=16ac.......Ans

Like? Yes (12) | No (2)  

HARJINDER SINGH   11 years AGO

We know that,
sum of roots=(-b/a)
product of roots=c/a
Let the roots are x and 3x.
sum=>
(-b/a)=x+3x=4x
=>x=(-b/4a)...........(1)
product=x.3x=3x^2
x^2=c/3a.................(2)

putting xalue of eq. (1) in eq.(2),we have
b^2/a^2 = 16/3·c/a
Therefore 3b^2=16ac.

Like? Yes (8) | No (1)  

Himanshu Kumar Gupta   11 years AGO

Let first root be 3@
then Other root be @
So sum of roots= -b/a
And products of root = c/a
So 4@=-b/a
@= -b/4a
And 3@^2=c/a
3*b^2/16a^2=c/a
On solving we get 3b^2=16*a*c

Like? Yes (6) | No (1)  

sanjay kumar saha   11 years AGO

sum of the roots=-b/a
4x=-b/a
3x^2=c/a
16x^2=b^2/a^2
b^2=16x^2*a^2
b^2=16*(c/3a)*a^2
3b^2=16ac

Like? Yes (7) | No (2)  

Sandeep R   11 years AGO

the two roots will be:

-b + root(b^2-4ac) and -b - root(b^2-4ac)

so

-b + root(b^2-4ac) = 3(-b - root(b^2-4ac))
=> -b + root(b^2-4ac)= -3b - 3*root(b^2-4ac)
=> 2b = -4(root(b^2-4ac))
=> b = -2(root(b^2-4ac))
on squaring both sides
=> b^2 = 4(b^2-4ac)
=> b^2 = 4b^2 - 16ac
=> 3b^2 = 16ac

Like? Yes (5) | No (1)  

kunwar prabhakar singh   11 years AGO

let first root is x,then other root is 3x
sum of root =x+3X=(-b/a)=4X........(1)
product of root is=x*3X=c/a=3x^2......(2)
squaring eqn 1()
b^2=16*(a^2)*x^2
now multiply both side by 3
3*b^2=16*(a^2)*(3*x^2)
now put the value of 3x^2 from eqn 2nd,ie=c/a
so,3b^2=16a^2*(a/c)=16ac

Like? Yes (5) | No (1)  

FRANKLIN VIJAY   11 years AGO

roots are say x and 3x, their sum will be 4x and their product 3x^2.
b^2/a^2 = 16/3·c/a
3b^2 = 16ac

Like? Yes (4) | No (2)  

devendra kumar gond   11 years AGO

let the roots be x and 3x; then sum will be that is 4x= (-b/a) .......(i)
3x^2= (c/a).......(ii)
squaring equation (i)
we get 16x^2=b^2/a^2;
we need 3b^2 =3*16x^2*a^2
so from equation (ii) 3x^2=c/a
so finally we get 3b^2=16ac

Like? Yes (4) | No (2)  

Aman Kohli   11 years AGO

Two roots are [(-b)+((b^2 - 4*a*c)^(1/2))]/(2*a) ;
and [(-b)-((b^2 - 4*a*c)^(1/2))]/(2*a)

after applying the conditions

[(-b)+((b^2 - 4*a*c)^(1/2))]/(2*a) = 3* [(-b)-((b^2 - 4*a*c)^(1/2))]/(2*a)


on solving
we get

[(-b)+((b^2 - 4*a*c)^(1/2))] / [(-b)-((b^2 - 4*a*c)^(1/2))] = 3/1

applying inverse compendo n dividendo rule

we get

(-b)/((b^2 - 4*a*c)^(1/2)) = 2/1

squaring bth the sides

b^2 = 4*(b^2 -4*a*c)
b^2 = 4(b^2) -16*a*c
3*(b^2) = 16*a*c

Like? Yes (2) | No (1)  

ashiwani kumar singh   11 years AGO

according to shreedracharya formula for quadratic eqution root are
x1=(b+(b^2-4ac))/2a
x2=(b-(b^2-4ac))/2a

x1=3x2

Like? Yes (1) | No   

Shashi Kumar Gupta   11 years AGO

let roots are X & Y....
so,X+Y=-b/a......1
and X*Y-c/a......2
given, X=3Y
by solving eq 1 and eq 2...
we get 3b^2=16ac

Like? Yes (1) | No   

vaibhav rajhns   11 years AGO

let x & 3x be roots
then x +3x =-b/a
x*3*x=c/a
so x=sqrt(c/3*a)
and x=-b/4a
by equating 1&2

so we get 3*b^2=16ac

Like? Yes (1) | No   

Bholanath    11 years AGO

let one root is p
than 2nd root will be 3p
sum of roots =p+3p=b/a
i.e. 4p=b/a
p=b/4a
product of roots=3p*p=c/a
i.e. 3*b/4a*b/4a=c/a
i.e. 3b^2=16ac

Like? Yes (1) | No   

DINKAR BHARTI   11 years AGO

Let root be y
then y+3y=-b/a
so y=-b/4a.....(1)
also y*3y=c/a
3y^2=c/a.......(2)
substituting eq(1) in eq(2)we get
b^2=16ac/3
multiplying both sides by 3 we get
3b^2=16ac
hence opt 7 is correct

Like? Yes (2) | No (1)  

ShAg   11 years AGO

let roots be p and q
we know pq = (c/a) and p+q = (-b/a)
as given q = 3p;
we have; 3p^2 = c/a
and 4p = -b/a
=> b^2 = 16 p^2 a^2
= now putting p^2 = (c/3a)
we have 3b^2 = 16ac

Like? Yes (2) | No (1)  

ABHISHEK KUMAR MISHRA   11 years AGO

let root are r,3r
so r+3r=4r=-b/a....(1) and r*3r=3r^2=c/a...(2)
(2)devided(1) then 3r/4=-c/b...(3)
now from (1) r=-b/4a put it in to (3) then 3b^2=16ac

Like? Yes (1) | No   

rohit kumar   11 years AGO

the sum of the roots is -b/a and their product is c/a.
If the roots are, say, x and 3x, their sum will be 4x and their product 3x^2
So sum squared = 16x^2 = 16/3 times product.
So b^2/a^2 = 16/3*c/a
3b^2 = 16ac

Like? Yes (1) | No   

harikrishna   11 years AGO

suppose x^2-4*x+3 here r1=1, r2=3, a=1, b=-4, c=3
from that 3*-4*-4=16*1*3
like that x*x-8*x+12 r1=2 r2=6 a=1 b=-8 c=12
from that 3*-8*-8 = 16*1*12
so that we can conclude
3*b*b = 16*a*c

Like? Yes (1) | No   

Devendra Marghade   11 years AGO

If x & y are the roots of the equation ax^2+bx+c=0
and given x=3y
Sum of roots=x+y=-b/a, 3y+y=-b/a 4y=-b/a or y=-b/4a ---(i)
Product of roots=xy=c/a, 3y*y=c/a or 3y^2=c/a --(ii)
Substituting value of y from (i) into (ii),
3(-b/4a)^2=c/a so 3b^2=16ac

Like? Yes (1) | No   

Harjit kaur   11 years AGO

1root=p
2root=3p
Now sum of roots. 4p=-b/a
Products of roots. 3p^2=c/a
By solving these we get
3b^2=16ac

Like? Yes (1) | No   

kandula v v sadguru murthy chowdary   11 years AGO

sum of the roots=x+3x=4x=-b/a
product of roots=3x^2=c/a
3b^2=48x^2a^2=16ac

Like? Yes (1) | No   

akshay anand   11 years AGO

x*y=c/a
&x=3y
3y^2=c/a
y=sqrt(c/3a)
putting y in equation we get
b^2=16ac/3
3b^2=16ac

Like? Yes (1) | No   

vigneshwari   11 years AGO

given eqn is ax^2 + bx + c = 0.
=> x^2 + b/a + c/a = 0.
let p and q be two roots of the eqn.
then q = 3p (according to given qstn).
we have x^2 - (p+q)x + pq = 0.
therefore, -(p+q) = b/a and pq = c/a
then, -(p+3p) = b/a and p(3p) = c/a.
-4p = b/a and 3p^2 = c/a
squaring both sides,
16p^2 = (b/a)^2
16 x p^2 x a^2 = b^2
and 3b^2 = 3x 16 x p^2 x a^2
put 3p^2 = c/a in above eqn,we have
3b^2 = 16 x c/a x a^2 = 16ca.

Like? Yes (2) | No (1)  

Yallapu Uday tarun kumar   11 years AGO

take one root as 1/d and other is 3/d
using roots form a eqation and compare with given equation and calculate the value of 3b^2.

Like? Yes (1) | No   

Jasmine Khan   11 years AGO

let x1 and x2 be the root of the given equation,
then,
x1=[-b+sqrt(b^2-4*a*c)]/2*a and x2=[-b-sqrt(b^2-4*a*c)]/2*a
but it is given that the one root is the third times of the another root
i.e. x1=3*x2
[-b+sqrt(b^2-4*a*c)]/2*a=3*[-b-sqrt(b^2-4*a*c)]/2*a
2b/2a=-4sqrt(b^2-4ac)/2a
b=-2sqrt(b^2-4ac)
now squaring both the sides we get,
b^2=4b^2-16ac
3b^2=16ac
hence the answer is option 7.

Like? Yes (1) | No   

Koushik Ghosh   11 years AGO

You know that the sum of the roots is -b/a and their product is c/a.
If the roots are, say, x and 3x, their sum will be 4x and their product 3x^2.
So sum squared = 16x^2 = 16/3 times product.
So b^2/a^2 = 16/3·c/a
Clearing denominators,
3b^2 = 16ac

Like? Yes (1) | No   

SAMRAT CHOWDHURY   11 years AGO

let 2 root be r & 3r
r+3r=-b/a; 4r=-b/a------(1)
r*3r=c/a; 3r^2=c/a------(2)
from eq 1 & 2
3b^2=16ac

Like? Yes (1) | No   

Totan Shit   11 years AGO

roots are r and 3r
r+3r=-(b/a)
so r^2=b^2/(16a^2).....(1)
& 3r^2=c/a
so r^2=c/(3a)..........(2)
solving the two equs
b^2/(16a^2)=c/3a
so 3b^2=16ac(ans)

Like? Yes (1) | No   

lucky raj   11 years AGO

Let two roots of the equation is α & β.

α =(-b+√(b^2-4ac))/2a &

β=(-b-√(b^2-4ac))/2a
given that
α=3β
or,(-b+√(b^2-4ac))/2a
=3((-b-√(b^2-4ac))/2a)
or,-b+√(b^2-4ac)=3(-b-√(b^2-4ac))
or,-b+3b=-(√(b^2-4ac)+3√(b^2-4ac))
or,2b=-4√(b^2-4ac)
or,b=-2√(b^2-4ac)
or,b^2=(-2√(b^2-4ac))^2
[squaring both side]
or,b^2=4(b^2-4ac)
or,b^2=4b^2-16ac
or,4b^2-b^2=16ac
or,3b^2=16ac

Like? Yes (1) | No   

Nirmalram   11 years AGO

one root=3(another root)
=>(-b-sqrt(b^2-4ac))/2a=3((-b+sqrt(b^2-4ac))/2a)
=>(-b-sqrt(b^2-4ac))=3((-b+sqrt(b^2-4ac)))
=>(-b-sqrt(b^2-4ac))=(-3b+3sqrt(b^2-4ac))
=>2b=4sqrt(b^2-4ac)
=>b=2sqrt(b^2-4ac)
=>b/2=sqrt(b^2-4ac)
=>(b^2)/4=b^2-4ac
=>(b^2)=4(b^2)-16ac
=>3(b^2)=16ac

answer:16ac

Like? Yes (1) | No   

Prakash Singh   11 years AGO

we know for a quadratic equn.
ax^2+bx+c having root m,3m
m+3m=-(b/a)
(m*3m)=(c/a)
solving these two we get 3b^2=16ac

Like? Yes (1) | No   

KARIMUL SANFUI   11 years AGO

by using sreedhar acharya we get x1=(-b+(sqrt(b^2-4*a*c)))/2. and x2=(-b-(sqrt(b^2-4*a*c)))/2.
take x1=3*x2 or x2=3*x1.we get 3*b^2=16ac.

Like? Yes (1) | No   

Anantharaman   11 years AGO

let x and y be the roots
given: x=3y
x+y=-b/a
sub x=3y => 3y+y=-b/a
4y=-b/a
sub y=(-b-sqrt(b^2-4ac))/2a then
4 (-b-sqrt(b^2-4ac))/2a = -b/a
2(-b-sqrt(b^2-4ac))/a = -b/a
Canceling denominator a => 2(-b-sqrt(b^2-4ac))=-b
Simplifying => -2b-2*sqrt(b^2-4ac)=-b
-2b+b-2*sqrt(b^2-4ac)=0
-b=2*sqrt(b^2-4ac)
Squaring both sides, we get b^2=4(b^2-4ac)
b^2=4b^2-16ac
3b^2=16ac
Ans: 16ac (Option 7)

Like? Yes (1) | No   

vipul malik   11 years AGO

let the roots of equation be x and y
apply roots x = (-b+(b^2-4ac)^(1/2))/2a
and y = (-b-(b^2-4ac)^(1/2))/2a
now, put x=3y
and get b^2=16ac

Like? Yes (1) | No   

prakash kumar   11 years AGO

let roots are p and 3p
put x=p and 3p,
ap^2+bp+c=0--------------1
9ap^2+3bp+c=0------------2
solve eqn 1 & 2
we get, p = -8c/6b
put value of p in eqn 1
we get, 3b^2=16ac

Like? Yes (1) | No   

RAVI GANGWAR   11 years AGO

You know that the sum of the roots is -b/a and their product is c/a.
If the roots are, say, x and 3x, their sum will be 4x and their product 3x^2.
So sum squared = 16x^2 = 16/3 times product.
So b^2/a^2 = 16/3·c/a
Clearing denominators, 3b^2 = 16ac

Like? Yes (1) | No   

sanjay singh   11 years AGO

let m and 3m be roots
so, m+3m=-b/a (sum of roots)
product of roots m*3m=c/a
eliminating m, we get
3b^2=16ac

Like? Yes (1) | No   

KALIDASS   11 years AGO

the two roots of the given equation is
-b-(b^2-4ac)^1/2,-b+(b^2-4ac)^1/2
now -b-(b^2-4ac)^1/2=3(-b+(b^2-4ac)^1/2
to simplify this we get
b^2=4(b^2-4ac)
3b^2=16ac

Like? Yes (1) | No   

prabhat kumar   11 years AGO

ax^2+bx+c=0
let x and y be two roots
hence y=3x according to question
x+y=-b/c
squaring both side:
(x+y)^2=b^2/a^2
put the value y=3x
x^2=b^2/16a^2--------(1)

x.y=c/a

put y=3x
3x^2=c/a
x^2=c/3a--------(2)
solving (1) and (2)

we get 3b^2=16ac

Like? Yes (1) | No   

J.THARVEES MAIDEEN   11 years AGO

roots of equation are
x1=-b+d/2a; let d=sq root of(b^2-4ac)
x2=-b-d/2a;
given that
x1=3x2
-b+d/2a =3(-b-d/2a)
-b+d =-3b-3d
4d=-2b
take squaring on both side & simplify we get
4d^2=b^2
4(b^2-4ac)=b^2
then 3b^2=16ac

Like? Yes (1) | No   

Raunak MAnchanda   11 years AGO

Applying sum of product and multiplication of product.

Like? Yes (1) | No   

ABHISHEK CHANDEL   11 years AGO

let k,l be roots, so a/t question k=3l,
so 4l=-b/a ...(1),and 3l^2=c/a ...(2)
now 16l^2=(b/a)^2,
put l^2 value from eqn-2,we get 3b^2=16ac

Like? Yes (1) | No   

Grishma Shah   11 years AGO

The 2 roots say A & B of the above equation.
A,B= (-b (+-)rootb^2-4ac)/2a
A=3B
Solving above
Hence 3b^2=16ac

Like? Yes (2) | No (1)  

Bingumalla Abinay   11 years AGO

x 3x be roots
sum=4x and product=3x^2
sum = -b/a and product= c/a
sume^2=16X^2=(b/a)^2
x^2 from product we get c/3a
equating both we get 3b^2=16ac

Like? Yes (2) | No (2)  

Divya Srivastava   11 years AGO

solve taking the values of both roots ans sum & product of roots.

Like? Yes (1) | No (1)  

ravi singh   11 years AGO

answer is 16ac

the root of the given equation is A = [-b+sqrt(b^2-4ac)]/2a ,
B = [-b-sqrt(b^2-4ac)]/2a

now according to the question

A = 3*B

by solving this we get 3b^2=16ac

hence option 7 is right answer

Like? Yes (1) | No (1)  

farjana sayyed   11 years AGO

sum of roots =(-b/a)
product of roots=(c/a)
let the root be
either m,3m (or) -m,-3m (since one root is thrice the other root)
now,
consider the roots -m,-3m
sum of roots=-4m=-b/a......(1)
product of roots=3m*m=c/a....(2)
(2)=> m*m=c/(3a)
squaring on bothside eqn(1)
16m*m=b*b/a*a
16(c/3a)*a*a=b*b
b*b=16ac/3
3b*b=16ac

Like? Yes (1) | No (1)  

rajesh   11 years AGO

we know that the sum of the roots is -b/a and their product is c/a.
If the roots are, say, x and 3x, their sum will be 4x and their product 3x^2.
So sum squared = 16x^2 = 16/3 times product.
So b^2/a^2 = 16/3·c/a
Clearing denominators 3b^2 = 16ac

Like? Yes (1) | No (1)  

Vikram Saini   11 years AGO

ans is 16ac

Like? Yes (1) | No (2)  

23 Sep 2013 Sequence

What is the next number of the following sequence
248,832,246,824,168,....

OPtion

1) 2432
2) 1648
3) 1632
4) 824
5) 808
6) 648
7) 377
8) 217
9) 207
10)None of these

Solution

First number = 248
248 = 2*4=8, 4*8=32---832
832 = 8*3=24, 3*2=6---246
246 = 2*4=8, 4*6=24---824
824 = 8*2=16, 2*4=8---168

168 = 1*6=6, 6*8=48---648
option 6

Correct Option: 6 Best Solution (67)

Prakash Singh   11 years AGO

ans=648
832=(2*4)(4*8)
next no=(a*b)(b*c)
so last no=(6*1)(8*6)=648

Like? Yes (10) | No   

Suresh Varma P   11 years AGO

sequence is following the multiplied value of the each digits:
248 - next number will be = 2*4 4*8 = 832
832 - 8*3 3*2 = 246
246 - 2*4 4*6 = 824
824 - 8*2 2*4 = 168
168 - 1*6 6*8 = 648
So the next number of the sequence will be 648
Ans: Option 6

Like? Yes (5) | No   

Devendra Marghade   11 years AGO

abc=(a*b),(b*c)
248=(2*4),(4*8)=832
246=(2*4),(6*4)=824
168=(1*6),(6*8)=648

Like? Yes (4) | No   

devendra kumar gond   11 years AGO

248 following this 2*4=8 and 4*8=32 results 832;
similarly 246 following this 2*4=8 and 4*6=24 results 824;168 following this 1*6=6 and 6*8=48 results 648

Like? Yes (4) | No   

sanjay kumar saha   11 years AGO

832=(2*4)(4*8)=832
246=(8*3)(3*2)=246
824=(2*4)(4*6)=824
168=(8*2)(2*4)168
(1*6)(6*8)=648

Like? Yes (3) | No   

Amresh kumar   11 years AGO

first 248 followed by 832 since 2*4=8 & 4*8=32 =>832
then 246 followed by 824 cozz 2*4=8 & 4*6=24 =>824
similarly 168 would be followed by option(6)648 cozz
1*6=6 & 6*8=48=>648 is answer

Like? Yes (3) | No   

Himanshu Kumar Gupta   11 years AGO

here
248=2*4=8 and4*8=32
246=2*4=8and 4*6=24
so
168=1*6=6 and 6*8=48
thus 648

Like? Yes (3) | No   

Arjun Singh Rajawat   11 years AGO

ABC=A*B,B*C
248=2*4,8*4=832
246=2*4,4*6=824
THEN
168=1*6,6*8=648

Like? Yes (3) | No   

Dinesh thatti   11 years AGO

8*4=32
next number 832 came

in 832 multiply 8*3=24
next multiply 3*2=6

next number 246 came

in 246 2*4=8
next multiply 6*4=24
next number 824 came

in 168 1*6=6
next multiply 6*8=48

so ANSWER IS 648

Like? Yes (3) | No   

Parthiban C   11 years AGO

1x6=6,
6x8=48,ans is join the two = 648

Like? Yes (3) | No   

Ravishankar Karn   11 years AGO

2*4 8*4 =823
8*3 3*2=246
2*4 4*6=824
8*2 2*4=168
1*6 6*8=648

Like? Yes (3) | No   

Niraj   11 years AGO

(1st Digit*2nd Digit) & (2nd Digit*3rd Digit) of previous number = next number

248 = (2*4) & (4*8) = 832
832 = (8*3) & (3*2) = 246
246 = (2*4) & (4*6) = 824
824 = (8*2) & (2*4) = 168
168 = (1*6) & (6*8) = 648

Like? Yes (2) | No   

kunwar prabhakar singh   11 years AGO

here
248=2*4=8 and4*8=32
246=2*4=8and 4*6=24
so
168=1*6=6 and 6*8=48
thus 648

Like? Yes (2) | No   

shamily.k   11 years AGO

In the above sequence,Take the first number,248
2*4=8
4*8=32
nw combine both the ans 842(which is the second number).
Like that Take last no 168
1*6=6
6*8=48
so ans is 648.

Like? Yes (2) | No   

Divya Srivastava   11 years AGO

(2*4)(4*8) = 8 32
(8*3)(3*2)=24 6
Similarly
(1*6)(6*8) = 6 48

Like? Yes (2) | No   

sridevi   11 years AGO

248=2*4,8*4=832
832=8*3,2*3=246
246=2*4,6*4=824
824=8*2,4*2=168
168=1*6,8*6=648
ans:648

Like? Yes (2) | No   

DINKAR BHARTI   11 years AGO

2*4=8 & 4*8=32 i.e 832
8*3=24 & 3*2=6 i.e 246
2*4=8 & 4*6=24 i.e 824
8*2=16 & 2*4=8 i.e 168
1*6=6 & 6*8=48 i.e 648
hence option 6 is correct.

Like? Yes (2) | No   

Bingumalla Abinay   11 years AGO

248 2*4=8 4*8=32 nxt number is 832
832 8*3=24 3*2=6 nxt no is 246

similarly
168 1*6=6 6*8=48 ans is 648

Like? Yes (2) | No   

Harjit kaur   11 years AGO

Rule for each no is
abc=(a*b)(b*c)
168 is last no so opt is (1*6)(6*8)

Like? Yes (2) | No   

MUKESH KUMAR   11 years AGO

248= Hunderdth= 2*4 ten's= 8*4 so, 832,
246= Hunderdth= 2*4 ten's= 6*4= 824,
So,
168= Hunderdth=1*6 ten's = 6*8= 48
Thus 648.

Like? Yes (2) | No   

krishnapriya   11 years AGO

given 248
2*4 4*8=832
8*3 3*2=246
2*4 4*8=824
8*2 2*4=168
1*6 6*8=648

Like? Yes (2) | No   

Jacky shevkani   11 years AGO

the next number in the sequence is formed like this
multiplication of first and second number and multiplication of second and third number
so the number after 168 will be
1*6=6 and 6*8=48
648

Like? Yes (2) | No   

Ezhilarasi   11 years AGO

248
832=(2*4)(4*8)[from the prev number in the series]
246=(8*3)(4*6)
824=(2*4)(4*6)
168=(8*2)(2*4)
so from the options
648=(1*6)(6*8)

Like? Yes (2) | No   

Sanampreet Singh   11 years AGO

(2*4)(4*8)=832
(8*3)(3*2)=246
(2*4)(4*6)=824
(8*2)(2*4)=168
Now, (1*6)(6*8)=648

Like? Yes (1) | No   

malarvezhi.m   11 years AGO

Take last no 168
1*6=6
6*8=48
so ans is 648.

Like? Yes (1) | No   

Monisha   11 years AGO

Take last no 168
1*6=6
6*8=48
so ans is 648.

Like? Yes (1) | No   

Koushik Ghosh   11 years AGO

248 = 2*4 =8 then 8*4 =32 so 832. 832=8*3=24. 3*2=6. so 246. 246=2*4=8, 6*4=24. so 824.. similarly.. 168=1*6, 8*6=48.so 648.

Like? Yes (1) | No   

Anuja Subramanian   11 years AGO

In the above sequence,Take the first number,248
2*4=8
4*8=32
nw combine both the ans 842(which is the second number).
Like that Take last no 168
1*6=6
6*8=48
so ans is 648.

Like? Yes (1) | No   

Kunal Verma   11 years AGO

248 = 2*4 =8 then 8*4 =32 so 832. 832=8*3=24. 3*2=6. so 246. 246=2*4=8, 6*4=24. so 824.. similarly.. 168=1*6, 8*6=48.so 648.

Like? Yes (2) | No (1)  

Sandeep R   11 years AGO

248 , (2×4)(4×8)=(8)(32), (8×3)(3×2)=(24)(6), (2×4)(4×6)=(8)(24), (8×2)(2×4)=(16)(8), (1×6)(6×8)=(6)(48)

Like? Yes (1) | No   

sudipta sadhukhan   11 years AGO

248->2*4 & 4*8 =832
832->8*3 & 3*2=246
246->2*4 & 4*6= 824
168->1*6 & 6*8 =648

Like? Yes (1) | No   

Vasavi Sarika   11 years AGO

(2*4)(4*8)=832
(8*3((3*2)=246
(2*4)(4*6)=824
(8*2)(2*4)=168
(1*6)(6*8)=648

Like? Yes (1) | No   

Grishma Shah   11 years AGO

Let the no. be abc
next no. in series is a*b b*c

168 next no. will be 1*6 6*8 which is 648

Like? Yes (1) | No   

HARJINDER SINGH   11 years AGO

The series is given below:
248,832,246,824,168,....

in this series,2-2 pairs occur,
1)248 and 832
248=2*4 &4*8=832
2)246 and 824
246=2*4 & 4*6=824
3)168 and 648
168=1*6 and 6*8=48=648
so next number is 648.

Like? Yes (1) | No   

Anuj kumar   11 years AGO

OUTPUT IS OBTAINED BY MULTIPLYING 6*1=6
AND 8*6=48
THE WHOLE SERIES FOLLOWS THIS.SO OUTPUT IS OPTION 6 I.E 648

Like? Yes (1) | No   

Kaustav Banerjee   11 years AGO

2*4=8 4*8=32 next number 832
8*3=24 3*2=6 next number 246
abc followed by (a*b)(b*c)

Like? Yes (1) | No   

paradesiravikiran   11 years AGO

in 248 first and second integers 2,4=>2*4=8 next number start with 8,middle and lastno 4*8=32
so the no is 832
in 832 first and second integers 8,3=>8*3=24 next
number start with 24,3*2=6
the number is 246
.
.
.
1*6=6 6*8=48
so the no is 648

Like? Yes (1) | No   

Md Shahnawaz Shahab   11 years AGO

168 then (1*6)(6*8)=648

Like? Yes (1) | No   

nagashree   11 years AGO

1 digit=(product of 1 and 2 digit of before number)1*6=6
2 and 3 digit=(product of 2 and 3 digits)6*8=48
so number beocmes 648

Like? Yes (1) | No   

sonali randave   11 years AGO

Multiplication of 1st two & last two digits.
2 4 8

2×4=8
4×8=32 so 832 is 2nd number & like this..

Like? Yes (1) | No   

rohit kumar   11 years AGO

1st term*2nd term & 2nd term*3rd term
2*4=8 & 4*8=32 i.e 832
8*3=24 & 3*2=6 i.e 246
2*4=8 & 4*6=24 i.e 824
8*2=16 & 2*4=8 i.e 168
next term will be
1*6=6 & 6*8=48 i.e 648

Like? Yes (1) | No   

sivaraman   11 years AGO

248=2*4=8 and 4*8=32 so 832
832=8*3=24 and 3*2=6 so 246
finally

168=1*6=6 and 6*8=48 so 648 is answer

Like? Yes (1) | No   

ravi singh   11 years AGO

answer is 648

the series is simple multipliction of first 2 digit and last 2 digit

248=2*4 4*8=832

similarly,168=1*6 6*8=648
hence the answer is option 6

Like? Yes (1) | No   

Ritu Khilrani   11 years AGO

Multiply each digit with the next one
248 = 2*4 4*8 = 832 (the next number)
832 = 8*3 3*2 = 246
246 = 2*4 4*6 = 824
824 = 8*2 2*4 = 168
168 = 1*6 6*8 = 648 (Required next number)

Like? Yes (1) | No   

soumyadeep saha   11 years AGO

multiply digits to get the next number.

Like? Yes (1) | No   

ShAg   11 years AGO

248 => 2*4=8; 4*8=32 => 832
246 => 2*4=8; 4*6=24 => 824
168 => 1*6=6; 6*8=48 => 648

Like? Yes (1) | No   

Manoji Kumar   11 years AGO

2*4=8,4*8=32,832
8*3=24,3*2=6,246
.......
1*6=6,6*8=48 so 648

Like? Yes (1) | No   

MOHIT BHARDWAJ   11 years AGO

248=2*4 and 4*8 is 832
8*3 and 3*2 is 246 so 1*6 and 6*8 is 648

Like? Yes (1) | No   

vipul malik   11 years AGO

if the no is abc
then next no. is (a*b)(b*c)
eg: 248 = (2*4)(4*8) = 832

Like? Yes (1) | No   

rajesh   11 years AGO

248= 2*4 4*8 = 832 similarly
168= 1*6 6*8 = 648

Like? Yes (1) | No   

Rats   11 years AGO

248
2*4=8 4*8=32
832
8*3=24 3*2=6
246
2*4=8 4*6=24
824
8*2=16 2*4=8
168, Hence next term is
1*6=6 6*8=48
648...........Ans

Like? Yes (1) | No   

Anantharaman   11 years AGO

Formula: 1st digit * 2nd digit 2nd digit* 3rd digit



248
2*4 4*8 = 832

832
8*3 3*2 = 246

246
2*4 4*6 = 824

824
8*2 2*4 = 168

168
1*6 6*8 = 648

Ans: 648

Like? Yes (1) | No   

vaibhav rajhns   11 years AGO

248,832,246,824,168,..
832=2*4 & 8*4
246=8*3 & 4*2
824=2*4 & 4*6
168=1*6 & 6*8
so next
1*6 & 6*8 =648

Like? Yes (1) | No   

sourav majumder   11 years AGO

248=(2*4)(4*8)=832
832=(8*3)(3*2)=246
246=(2*4)(4*6)=824
824=(8*2)(2*4)=168
so,
168=(1*6)(6*8)=648 is answer(6)

Like? Yes (1) | No   

rituraj rathore   11 years AGO

if abc be the number then next number is (a*b)(b*c)
248 then next (2*4)(4*8)=832
(8*3)(3*2)=246

similarly (1*6)(6*8)=648

Like? Yes (1) | No   

Ramesh.V   11 years AGO

248 is 832
2*4=8
4*8=32 so ans is 832.
246 is 824
2*4=8
4*6=24 so ans is 824.
ANS
168 is 648
1*6=6
6*8=48 so ans is 648
the sequence is 248,832,246,824,168,648.

Like? Yes (1) | No   

KOTHA SRAVANI   11 years AGO

248
2*4=8,4*8=32
so, here 8 and 32 are combined into single number832
likewise,
832
8*3=24,2*3=6
246

246
2*4=8,4*6=24
824

824
8*2=16,2*4=8
168

168
1*6=6,6*8=48
648

Like? Yes (1) | No   

Venkateshwaran   11 years AGO

6*1 6*8 = 648

Like? Yes (1) | No   

KARUPPASAMY C   11 years AGO

(2*4)(4*8)=832,
(8*3)(3*2)=246,
(2*4)(4*6)=824,
(8*2)(2*4)=168,
(1*6)(6*8)=648,

Like? Yes (1) | No   

svsrpavankumar vadrevu   11 years AGO

248=2*4,4*8,832
246=2*4,4*6,824
168=1*6,6*8,648

Like? Yes (1) | No   

KALIDASS   11 years AGO

In the above series the product of pair of first number will give the next number.
2*4=8,8*4=32 this product makes the second number
842
8*3=24,3*2=6 is 246
2*4=8,4*6=24 is 824 and so on.
ans: 1*6=6,6*8=48 is 648

Like? Yes (1) | No   

vijayaragavan   11 years AGO

248=2*4 4*8= 832
like 168= 1*6 6*8= 648

Like? Yes (1) | No   

Ann Mary Jolly   11 years AGO

The digits of any no. in the sequence is the product of the consecutive digits of the previous no.
i.e,first no. =248
2*4=8 and 4*8=32 makes 832 the next no.
Therefore the next no. in the sequence is made by
1*6=6 and 6*8=48
And hence 648

Like? Yes (1) | No   

Rama Devi Perumalla   11 years AGO

832=(2*4)(4*8)
246=(8*3)(3*2)
similarly
next num in series is (1*6)(6*8)=648

Like? Yes (1) | No   

harikrishna   11 years AGO

2*4 8*4 = 832
8*3 2*3 = 832
like that
1*6 6*8 = 648

Like? Yes (1) | No   

rama jha   11 years AGO

(2*4)=8 and(4*8)=32 hence 832..similarly (6*1)=6and(8*6)=48 hence 648 is the correct answer..

Like? Yes (1) | No   

Rashmi bharti   11 years AGO

248,832,246,824,168,..
the 2nd term is multiplication of middle digit with both 1st and last digit,and again 4th term is of accordingly 3rd term.so 6th term would be (6*1)next digits will be(6*8)i.e, 648

Like? Yes (1) | No (1)  

20 Sep 2013 Coded Language

If 73263 = 101122
12182 = 3184
51193 = 6093
Then 72162 is

OPtion

1) 9263
2) 9458
3) 9819
4) 91263
5) 101263
6) 910121
7) 9163
8) 101223
9) 921212
10)None of these

Solution

73263 = (7+3)(3-2)(2*6)(6/3) = 101122
12182 = (1+2)(2-1)(1*8)(8/2) = 3184
51193 = (5+1)(1-1)(1*9)(9/3) = 6093
Therefore
72162 = (7+2)(2-1)(1*6)(6/2) = 9163
option 7

Correct Option: 7 Best Solution (58)

Devendra Marghade   11 years AGO

abcde = (a+b)(b-c)(c*d)(d/e)
so, 72162=9163

Like? Yes (27) | No (1)  

Rats   11 years AGO

There are 5 digits on the left hand side.
We have to perform addition(+), subtraction(-), Multiplication(*) and division(/) on the respective digits.
For 73263
7+3=10
3-2=1
2*6=12
6/3=2
combine all the no.s to get RHS 101122
So as, 12182=3184
and, 51193=6093

For 72162,
7+2=9
2-1=1
1*6=6
6/2=3
On combining we get 9163.......Ans

Like? Yes (9) | No   

Parthiban C   11 years AGO

7+2=9,
2-1=1,
1x6=6,
6/2=3, so the ans is 9163

Like? Yes (9) | No (3)  

shamily.k   11 years AGO

To find the ans for 72162.
7+2=9
2-1=1
6*1=6
6/2=3.
so ans is 9163

Like? Yes (4) | No   

Sagar Jinachandran   11 years AGO

73263=(7+3)(3-2)(2*6)(6/2)=101122
12182=(1+2)(2-1)(1*8)(8/2)=3184
51193=(5+1)(1-1)(9*1)(9/3)=6093
therefore
72162=(7+2)(2-1)(1*6)(6/2)=9163
option 7

Like? Yes (3) | No   

Balakumaran N.A   11 years AGO

72162 = (7+2) (2-1) (1*6) (6/2) = 9163

Like? Yes (3) | No   

sridevi   11 years AGO

7+2=9
2-1=1
6*1=6
6/2=3.
so ans is 9163

Like? Yes (4) | No (1)  

mohan lal garg   11 years AGO

72162=(7+2)(2-1)(1*6)(2+1)=9161

Like? Yes (2) | No   

Anantharaman   11 years AGO

73263 =(7+3)(3-2)(2*6) (6/3)
10 1 12 2

12182 =(1+2)(2-1)(1*8)(8/2)
3 1 8 4

51193 =(5+1)(1-1)(1*9)(9/3)
6 0 9 3

72162 =(7+2)(2-1)(1*6)(6/2)
9 1 6 3

Like? Yes (2) | No   

Bingumalla Abinay   11 years AGO

72162
7+2=9
2-1=1
1*6=6
6/2=3

9163 is the answer .
there are five numbers in each given number.they operate DMAS as shown ,
73263
7+3=10
3-2=1
2*6=12
6/3=2
ans is 101122

Like? Yes (1) | No   

ShAg   11 years AGO

for 73263 = 7+3=10, 3-2=1, 2*6=12, 6/3=2
hence 73263 = 101122
similarly for 72162 = 7+2=9, 2-1=1, 1*6=6, 6/2=3
hence 72162 = 9163
apply +,-,* and /; on the adjacent digits proceeding ahead.

Like? Yes (1) | No   

Shashi Kumar Gupta   11 years AGO

as given
73263 break is as
7+3=10
3-2=1
2*6=12
6/3=2
so,73263=101122
similarily..
72162 is...
7+2=9
2-1=1
1*6=6
6/2=3 i.e.
72162=9163..

Like? Yes (1) | No   

Rohit Sakhare   11 years AGO

7+3=10; 3-2=1; 2*6=12; 6/3=2 so 101122
1+2=3; 2-1=1; 1*8=8; 8/2=4 so 3184
5+1=6; 1-1=0; 1*9=9; 9/3=3 so 6093
similarly for
72162 follow the sequence +-*/
as
7+2=9
2-1=1
1*6=6
6/2=3
so answer is 9163

Like? Yes (1) | No   

FRANKLIN VIJAY   11 years AGO

7 2 1 6 2
7+2 2-1 1*6 6/2
9 1 6 3
Answer is 9163

Like? Yes (1) | No   

ch.jyothsna   11 years AGO

first digit is sum of first two digits so 7+2=9
and next digit is difference of of second and third so 2-1=1 next digit will be obtained by multiplying the digits so 6*1=6 last digit will be 6/2=3
so the answer must be 9163

Like? Yes (3) | No (2)  

ponjothinathan   11 years AGO

Add first two digit,then dvided last 2 digit,subtract digit from two and three,and then fourth digit as written in same number.

Like? Yes (1) | No   

rohit kumar   11 years AGO

1st term+ 2nd term=1st term(result)
i.e 7+2=9
2nd term-3rd term=2nd term(result)
i.e 2-1=1
4th term*3rd term=3rd term(result)
i.e 6*1=6
4th term/5th term=4th term(result)
i.e 6/2=3

Like? Yes (1) | No   

Manoji Kumar   11 years AGO

7+2=9
2-1=1
6*1=6
so,9163 is the answer

Like? Yes (1) | No   

Dinesh thatti   11 years AGO

add first 2 digits

and multiply middle digits

divide last 2 digits

Like? Yes (1) | No   

Kumar Ankit   11 years AGO

We split the answer into four parts a,b,c and d
Question given in 5 digits let it be x1,x2,x3,x4 and x5
Now applying these logic we will get our answer
a=x1+x2
b=x2-x3
c=x3*x4
d=x4/x5
These abcd is our answer.

Like? Yes (1) | No   

sugyani dalai   11 years AGO

72162
1st digit = 7+2 =9
2nd digit = 2-1 = 1
3rd digit = 1*6 = 6
4th digit = 6/2 = 3

Like? Yes (1) | No   

SHERIN ABOOBEKER   11 years AGO

Taking 72162,
7+2=9
2-1=1
1*6=6
6/2=3
so answer is 9163
Taking 73263,
7+3=10
3-2=1
2*6=12
6/3=2
Taking 12182
1+2=3
2-1=1
1*8=8
8/2=4
Therefore 12182=3184

Like? Yes (1) | No   

DINKAR BHARTI   11 years AGO

7+3=10 3-2=1 2*6=12 6/3=2 i.e 73263=101122
1+2=3 2-1=1 1*8=8 8/2=4 i.e 12182=3184
5+1=6 1-1=0 1*9=9 9/3=3 i.e 51193=6093
similarly
7+2=9 2-1=1 1*6=6 6/2=3 i.e 72162=9163
hence opt 7 is true i.e 9163

Like? Yes (2) | No (1)  

Anuj kumar   11 years AGO

ther are five digit in this question.
output is obtained as follows:-
9 comes from adding first two digit i.e. 7+2=9
1 comes from subtatcting 3rd digit from second i.e=2-1=1
6 come from multiplying 4th digit with 3rd i.e 6*1=6
and 3 come from dividing 4th digit with 5th i.e 6/2=3

Like? Yes (1) | No   

Amit Singh   11 years AGO

number is=72162
add first two digits(7+2=9)
subtract third digit(1) from second(2) ie (2-1=1)
now multiply fourth digit(6) with third(1) ie (6*1=6)
divide fourth digit(6) from last(fifth)digit(2) ie (6/2=3)
and final answer will be: 9163

Like? Yes (1) | No   

kirthika   11 years AGO

72162
7+2=9
2-1=1
1*6=6
there is only one option with dat so answer is 7

Like? Yes (1) | No   

Niraj   11 years AGO

If 73263 = (7+3)(3-2)(2*6)(6/3) = 101122
12182 = (1+2)(2-1)(1*8)(8/2) = 3184
51193 = (5+1)(1-1)(1*9)(9/3) = 6093
Then 72162 is (7+2)(2-1)(1*6)(6/2) = 9163

Like? Yes (1) | No   

Ashok singh   11 years AGO

Here is logic
73263= 101122
first digit + second digit,second digit - third digit, third digit*fourth digit , fourth digit / fifth digit
72162= 9163

Like? Yes (1) | No   

Himanshu Kumar Gupta   11 years AGO

from first no. 73263
7+3=10
3-2=1
2*6=12
6/3=2
Similarly we can have
7+2=9
2-1=1
1*6=6
6/2=3
Therefore no. is 9163

Like? Yes (3) | No (2)  

Chikkala Vijaya Kumar   11 years AGO

7+2=9
2-1=1
1*6=6
6/2=3
9163

Like? Yes (1) | No   

Kunal Pathak   11 years AGO

72162,
7+2=9,then
3-2=1,then
1*6=6,then
6/2=3.

Like? Yes (1) | No   

Ankita Srivastava   11 years AGO

73263=(7+3)(3-2)(2*6)(6/3)=101122
12182=(1+2)(2-1)(1*8)(8/2)=3184
51193=(5+1)(1-1)(1*9)(9/3)=6093
similarly,
72162=(7+2)(2-1)(1*6)(6/2)=9163

Like? Yes (1) | No   

mohini gupta   11 years AGO

73262=7+3=10
3-2=1
2*6=12
6/3=2=101122
72162=7+2=9
2-1=1
1*6=6
6/2=3.hence 9163

Like? Yes (1) | No   

Sandeep R   11 years AGO

The pattern is:

[sum of 1st 2 digit][difference of 2nd and 3rd digits][product of 3rd and 4th digits][4th digit/5th digit]

eg.
73263 = [7+3][3-2][2*6][6/3]=101122

similary

72162 = [7+2][2-1][1*6][6/2]=9163

Like? Yes (1) | No   

LOGAN WOLVERINE   11 years AGO

73263
7+3=10;3-2=1;6*2=12;6/3=2;
similarly
72162
7+2=9;2-1=1;6*1=6;6/2=3;
answer is 9163
option 7

Like? Yes (1) | No   

Harjit kaur   11 years AGO

7+3,3-2,2*6,6/3=101122
Similarly other so ans is
7+2,2-1,1*6,6/2=9163

Like? Yes (1) | No   

Arokiya nithiya princy.jb   11 years AGO

7+2=9
2-1=1
1*6=6
6-2-1=3

Like? Yes (1) | No   

Kunal Verma   11 years AGO

1st nos 7+3=10
3-2=1
6 x 2= 12
6/3=2
like this it is coded to 101122
same way
12182==>>
1+2=3
2-1=1
8*1=8
and 8/2=4
12182=3184
72162=
7+2=9
2-1=1
6*1=6
6/3=2
9163

Like? Yes (1) | No   

Raunak MAnchanda   11 years AGO

Add 7 and 2 equals 9,
2-1 equals 1,
1*6 equals 6,
6/2 equals 3.
so number is 9163

Like? Yes (1) | No   

KALIDASS   11 years AGO

The given numbers have +,-,*,/ operations respectively between pair of numbers.
1)7+3=10,3-2=1,2*6=12,6/3=2 therefore the number be
10 1 12 2=101122
2)1=+2=3,2-1=1,1*8=8,8/2=4 3 1 8 4=3184
andso on.
for 72162 7+2=9,2-1=1,1*6=6,6/2=3
9 1 6 3=9163

Like? Yes (1) | No   

J.THARVEES MAIDEEN   11 years AGO

7+2=9
2-1=1
1*6=6
6/2=3 ans:9163

Like? Yes (1) | No   

UvRocK$   11 years AGO

(7+2)=9
(2-1)=1
(1*6)=6
(6/2)=3

Like? Yes (1) | No   

arul rajan   11 years AGO

72162
7+2 = 9
2-1 =1
1*6=6
6/2= 3

Like? Yes (1) | No   

Vikram Saini   11 years AGO

ans is 9163

Like? Yes (1) | No   

prakash kumar   11 years AGO

add 1st and 2nd digit then subtract 2nd and 3rd digit then multiply 3rd and 4th digit then divide 4th and 5th digit(from left to right)

Like? Yes (1) | No   

Mahi   11 years AGO

addition of 1st 2 digits.(7+3=10)
subtraction of 2nd n 3rd digit.(3-2=1)
multiplication of 3rd n 4th digit(2*6)=12
divison of 4th n 5th digit.(6/3=2)

so,73263=10122
same 4 other

Like? Yes (1) | No   

YUVAN SATHAIAH   11 years AGO

7+2=9
2-1=1
1*6=6
6/2=3

Ans:9163

Like? Yes (1) | No   

Grishma Shah   11 years AGO

example: 73263
7+3=10_ _ _ _
3-2=_ _ 1 _ _ _
2*6=_ _ _ 12 _
6/3= _ _ _ _ _ 2
forming 101122

Hence, 7+2,2-1,1*6,6/2= 9163

Like? Yes (2) | No (2)  

ravi singh   11 years AGO

answer is 9163

here 4 function is perform
1st addition
2nd substraction
3rd multiplication
4th division

7+2=9, 2-1=1, 1*6=6 and 6/2=3

hence 72162=9163

therefore option is 7

Like? Yes (1) | No (1)  

sanjay kumar saha   11 years AGO

72162=9163;
9=7+2
1=2-1
6=1*6
3=6/2

Like? Yes (1) | No (1)  

sivaraman   11 years AGO

72162
ADD first 7+2=9
minus second and third=2-1=1
mulitiple third and fourth=1*6=6
divide fourth and fifth=6/2=3

so 9163

Like? Yes (1) | No (1)  

kumar sundram   11 years AGO

here,
7+3=10;3-2=1;2x6=12;&6/3=2
i.e, 73263=101122
again,12182=([1+2][2-1][1x8][8/2])=3184;
again,51193=([5+1][1-1][1x9][9/3])+6093;
thus, 72162=([7+2][2-1][1x6][6/2])=9163.

Like? Yes (2) | No (2)  

Laltu banerjee   11 years AGO

7+3=10 3-2=1 2*6=12 6/3=2
1+2=3 2-1=1 1*8=8 8/2=4
similarly
7+2=9 2-1=1 1*6=6 6/2=3
hence opt 7 is true i.e 9163

Like? Yes (1) | No (1)  

Manikumar R   11 years AGO

7+2=9
2-1=1
6=6
2+1=3

Like? Yes (1) | No (1)  

saranya   11 years AGO

72162
7+2=9
2-1=1
6 as it is
6/2=3
9163

Like? Yes (1) | No (1)  

HARJINDER SINGH   11 years AGO

7+2=9,2-1=1,6*1=6,6/2=3
therefore,9163.

Like? Yes (1) | No (1)  

Yallapu Uday tarun kumar   11 years AGO

by seeing

Like? Yes (1) | No (1)  

NITESH DAS   11 years AGO

1st-7+2=9
2nd-2-1=1
3rd-1*6=6
4th-6/2=3...ans will be 9163

Like? Yes (2) | No (2)  

19 Sep 2013 Number Problem

Seven times a given two digit number is equal to four times the number obtained by inter changing the digit and the difference of the digit is 3. find the number.

OPtion

1) 24
2) 63
3) 42
4) 72
5) 56
6) 36
7) 64
8) 46
9) 69
10)None of these

Solution

By the given condition
7(10x+y)=4(10y+x)
y=2x (i)
Also given x-y=3 (ii)
solve we get x=3 and y=6
10x+y = 30+6 = 36
check 36*7 = 63*4
252 = 252
option 6

Correct Option: 6 Best Solution (86)

nishant kumar   11 years AGO

let the digit at ten\'s place= x
and the digit at unit\'s place =y
=>the number=10x+y
and the obtained on reversing the digit =10y+x
and the difference of the digit = x-y=3 ...(i)
ATQ
7(10x+y) = 4(10y+x)
70x+7y = 40y+4x
66x-33y=0
2x-y=0 ...(ii)
on solving equation (i)and(ii)
we get x=3 and y=6
so the required two digit number is 36

Like? Yes (10) | No   

Rats   11 years AGO

7(10x+y)=4(10y+x)
on solving we get
2x=y....(1)
since y is greater, So
y-x=3 putting (1)
2x-x=3
x=3, y=6
So number=10*3+6=36....Ans

Like? Yes (9) | No (3)  

Himanshu Kumar Gupta   11 years AGO

7*(10X+Y)= 4*(10Y+X)
AND X-Y = 3
BY SOLVING BOTH EQUQTION WE GET
X=3 AND Y = 6
SO, THE NO. IS 36

Like? Yes (5) | No (1)  

Laltu banerjee   11 years AGO

let digit xy
then y=x-3
7(xy)=4(yx)..........(1)
as the difference of digit 3
only option 2 6 9 may be true
by putting in eqn-1 only option 6 is true

Like? Yes (5) | No (2)  

Nirmalram   11 years AGO

given:1) 7(xy)=4(yx) where x tens place
y ones place
2)y-x=3=>y=x+3

so,7(x(x+3))=4((x+3)x)
=>(x(x+3))=4*((x+3)x)/7
[((x+3)x) should be divisible of 7]
trial, take the interchanging be 63,so,4*63/7

we get the number as 36,which satisfies the condition

Like? Yes (3) | No   

Sneha   11 years AGO

Ans: 6
From the question it is clearly said that difference between 2 num is 3
So,we consider options 2,6 and 9.
7(63)=4(36) cannot be possible since both the numbers on left hand side or greater than right side.
Now, we have left with 2 options
7(36)=4(63) i.e., 252

Like? Yes (3) | No   

Sagar Jinachandran   11 years AGO

let the 2 digit number be 10x+y
according to question
7(10x+y)=4(10y+x)
on simplification we get
66x-33y=0------(1)
similarly
x-y=3----(2)
solving 1 and 2 we get
y=6
x=3
there fore the number is
10(3)+6=30+6=36
36
option 6

Like? Yes (3) | No (1)  

Anantharaman   11 years AGO

Given: two digit numbers with difference between the digits 3

possible values: 25, 36, 47, 58, 69

assume the number is x and the intercahnged digits of the number is y

7*x=4*y

7*25=4*52 (not equal)
7*36=4*63 => 252 = 252 (equal)

other numbers (47, 58,69) can be ruled out with the ones digit not matching when multiplying by 7 and 4

7*47=4*74 (not equal)

7*58=4*85 (not equal)

7*69=4*96 (not equal)

So Answer is 36

Option 6

Like? Yes (2) | No   

kunwar prabhakar singh   11 years AGO

7(10x+y)=4(10y+x)
x-y=3
gives 36

Like? Yes (3) | No (1)  

Grishma Shah   11 years AGO

7(10x+y)=4(10y+x)
Then using X-y=3

x=3 and y=6

solving
7(36)=4(63)=252

Like? Yes (2) | No   

shamily.k   11 years AGO

36*7=252(since 7 times of no)
63*4=252(since 4 times of no and reverse of 36 is 63)
Both the ans is same.
And also the difference between 36 is 3(6-3=3)

Like? Yes (2) | No   

sridevi   11 years AGO

36*7=252(since 7 times of no)
63*4=252(since 4 times of no and reverse of 36 is 63)
Both the ans is same.
And also the difference between 36 is 3(6-3=3)

Like? Yes (2) | No   

malarvezhi.m   11 years AGO

36*7=252(since 7 times of no)
63*4=252(since 4 times of no and reverse of 36 is 63)
Both the ans is same.
And also the difference between 36 is 3(6-3=3)

Like? Yes (2) | No   

Md.Sultan Khichi   11 years AGO

Let the 10th place digit is x and unit place is y..
So the no. is 10x+y.
After interchanging the no. becomes 10y+x.
According to ques 7*(10x+y)=4*(10y+x)
y-x=3.
After solvng we get
x=3 and y=6.
No.=36.
Ans:36.obtn.6

Like? Yes (1) | No   

sanjay kumar saha   11 years AGO

from option it very easy to find out.
36; 6-3 is 3
and
7X36=4x63
7x4x9=4x9x7

Like? Yes (1) | No   

sujeet kumar keshri   11 years AGO

7(10x+y)=4(10y+x)
thus 2x=y .............1
and y-x =3 ...............2
solving 1 and 2
we get x=3 and y=6
number 36

Like? Yes (1) | No   

Devendra Marghade   11 years AGO

If the two digits of the number are x & y then, number=10x+y
7(10x+y)=4(10y+x),2x=y
Also y-x=3, so x=3,y=6
Number=10*3+6=36

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DINKAR BHARTI   11 years AGO

7*(10y+x)=4*(10x+y)
on solving this y=x/2
& x-y=3
on solving both these equations we get
x=6,y=3 hence no is 36

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SAGARIKA RAY   11 years AGO

7*36=4*63

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praneeth   11 years AGO

let the digits be x and y.tens place is y. units place is x.so the number is 10y+x.the reverse order is 10x+y.
given x-y=3.
7(10y+x)=4(10x+y)
70y+7x=40x+4y
66y=33x
2y-x=0
solving x-y=3
and 2y-x=0 we get
y=3 and x=6
so the number is 10*3+6=36

Like? Yes (2) | No (1)  

divya arya   11 years AGO

answer is 6...
7(10*x+y)=4(y*10+x)
y-x=3
solve this

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sravani   11 years AGO

7(10(x)+ x+3)=4(10(x+3) + x)
77x+21=44x+120
x=3
x+3=6

Like? Yes (1) | No   

kirthika   11 years AGO

7xy=4yx
so generally xy should be less than yx
so y-x=3
here consider 36
6-3=3
and 7*36=4*63

Like? Yes (1) | No   

Harshit Singh   11 years AGO

let the two digit no. be
10x+y
no. by interchanging its digit is 10y+x

7(10x+y)=4(10y+x)
70x+7y=40y+4x
66x=33y
2x=y
from x-y=3 == x=y+3
2x=y == 2y+6=y
y=3
so x=6
PUT X AND Y IN 10x+y
THE NUMBER IS 36

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Jacky shevkani   11 years AGO

Since the difference between the digits is 3
so we have 2 options
63 and 36
so answer is 36

Like? Yes (1) | No   

Manoji Kumar   11 years AGO

the diffrence of 63 is 3 and we interchange it it is 36

Like? Yes (1) | No   

Balakrishnan M   11 years AGO

Two digit number is "xy"
Seven times a given two digit number is equal to four times the number obtained by inter changing the digit
7(10x+y)=4(x+10y)
70x+7y=4x+40y
66x-33y=0
2x-y=0---(1)
The difference of the digit is 3
y-x=3---(2)
solve (1)&(2),
we get x=3,y=6
The required two digit number is 36.

Like? Yes (2) | No (1)  

vijay   11 years AGO

7(xy)=4(yx)-------1
x-y=3-------2
solve
xy=36

Like? Yes (1) | No   

krishnapriya   11 years AGO

Let the unit digit and 10's digit be x and y respectively. So, the number is 10y+x and when the number is reversed 10x+y.
x-y=3 ------(1)
Given, 7(10y+x)=4(10x+y)
(ie)2y-x=0 ---------(2)
Solving (1) and (2) we get, x=6 and y=3
Hence the number is 10y+x=10*3+6=36

Like? Yes (1) | No   

Sandeep R   11 years AGO

in options 1,3,4,5,7,8 the difference between the digits is not 3. So no need to consider it.

again 7 times of 63 is not going to be equal to 4 times of a lesser number i.e 36.

again 7 times of 69 has 3 in its units place .
while 4 times of 96 has 4 in its units place.
so can\'t be an option.

Now we are left with either option 6 or option 10.

now 7 times 36 = 252 and 4 times 63 =252 and the difference between the digits is 3.

hence the answer is option 6.

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SHERIN ABOOBEKER   11 years AGO

Since difference between digits is 3 certain options can be avoided.Take answers with difference between 2 digits as 3 and multiply with 7 and multiple with 4 by interchanging digits.observe the last digits

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Raunak MAnchanda   11 years AGO

Also by observing the options,check for numbers where difference is 3, 63 cannot be as it is large than 36 coz 7 times a large no will not be equal to 4 times small.
so 36 will be the right option

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Gunaseelan   11 years AGO

By checking the given options,
7*36 = 4*63
252 = 252
Answer is 36.

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Jasmeet Singh   11 years AGO

Let 2 digit no. be xy
Therefore,
-> 7(10x + y) = 4(10y + x)
-> 66x - 33y = 0
-> 2x - y = 0
-> y = 2x

and |x-y| = 3
-> |x-2x| = 3
-> |-x| = 3
-> |x| = 3

Therefore, y = 2*3 = 6

Hence, the no. is xy i.e. 36 (Option 6)

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ANGELIN ALFRED   11 years AGO

7(10X+Y)=4(10Y+X)
=>66X=33Y=>Y=2X
AND Y-X=3 =>Y=X+3
=> X=3
Y=6
=>36

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neetesh mehrotra   11 years AGO

7(36)=4(63)
6-3=3

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surya   11 years AGO

take a number 10a+b is two digit number
reverse of the number 10b+a
so that 7(10a+b)=4(10b+a)
diff bw a and b is a-b=3
then required number is 63

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Varun Upadhyay   11 years AGO

Here 7*(10*x + y)=4*(10*y +x)
and x-y=3
which is satisfied by 36

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saisaranya   11 years AGO

36 is the answer option verification

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Ashok singh   11 years AGO

Let's assume number is xy
unit digit is y and ten digit is x
then given that:
7*(10*x+y) = 4*(10*y+x) - - - -(1)
and
x-y = 3 --- ---------------(2)
By solving these two equation
we get x = 3
and y = 6
7* 36 = 4*63 = 252

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cp   11 years AGO

7(36)=4(63)=252
6-3=3

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ashiwani kumar singh   11 years AGO

let first digit x and second is y

7(10x+y)=4(10y+x)

and

y-x=3

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KUNAL GAURAV   11 years AGO

Going through options.
We have 3 options only whose difference of digits is 3.
Checking that 7(10x+y) = 4(10y+x)
x being the tens place digit and y being the units place digit of the original number.
We get 36.

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RAVI GANGWAR   11 years AGO

7*36=4*63
252=252
6-3=3

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Durga kollati   11 years AGO

let x and y be two integer digits of a nuber
now 7(10x+y) = 4(10y+x)
70x+7y = 40y +4x
66x - 33y =0
2x - y =0
2x =y
and there is another condition difference b/w two digits is 3
y-x or x-y is equal to 3
possible option is y-x=3
by substituting 2x =y in this equation
2x-x=3
x=3
y=2x=2*3=6
so the number is 36

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Santan kumar   11 years AGO

let unit place digit is x then ten's place digit will be (x-3) since when we interchange digits obtained no should be greater than 1st one.
now 1st no obtained from digit is 10(x-3)+x=11x-30
and by interchanging the digit we get 10x+(x-3)=
11x-3

now A/c Q
7(11x-30)=4(11x-3)
we get
x=6 hence no will be 36

Like? Yes (1) | No   

Manju   11 years AGO

let the 2digit num be xy
the num formed is 10x+y and the num formed by interchanging the digits is 10y+x
then as per the question,
7(10x+y) = 4(10y+x)
by solvin we get, 2x=y.
n given that (x-y)~= 3
(x-2x)~=3
x=3 and y=6
hence d 2digit num is 36.

Like? Yes (1) | No   

SHIVANI PRAKASH   11 years AGO

let no. b xy
7(10x+y)=4(10y+x)
y-x=3
solving we get,x=3,y=6
no.=36

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Suriya Prakash   11 years AGO

we know the 9 different possible soln
let us consider the ans as 36
7*36=4n
N=63
The difference is 3

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Arpit Srivastava   11 years AGO

checking by option we get,
36*7=63*4

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shankar   11 years AGO

let our number be 10x+y
Then,
7(10x+y)=4(10y+x)
70x+7y=40y+4x
66x-33y=0
2x-y=0------------(1)
and it is given that the difference between numbers is 3. so,
y-x=3
2y-2x=6 ------------(2)
ON ADDING (1) AND (2)
y=6;
x=3;

Like? Yes (1) | No   

NITESH DAS   11 years AGO

2,3,4,4,5..,multiply with 7 which has two digit and there 2 digit difference =3 is also inverse the digit which also divisible with 4 and 2 digit difference will be 3.

Like? Yes (1) | No   

jatin patware   11 years AGO

option 6 satisfies the given condition obviously.

Like? Yes (1) | No   

Ankit Pandey   11 years AGO

36*7=252
63*4=252
difference between 6 and 3 = 3
hence answer no.is 6

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Totan Shit   11 years AGO

let two digit no is=xy
from ques. 7(10x+y)=4(10y+x)........(1)
so y=2x
again from ques. x~y=3..............(2)
solve the equs
x=3
y=6
so the no is 36(Ans)

Like? Yes (1) | No   

mohini gupta   11 years AGO

let the digits be x and y.
7*(10x+y)=4*(10y+x)
means x

Like? Yes (1) | No   

Venkateshwaran   11 years AGO

36 is the right ans bu solving from sol

Like? Yes (1) | No   

sudipta sadhukhan   11 years AGO

36*7=4*63
& 6-3=3.

Like? Yes (1) | No   

shradhya singh   11 years AGO

from 1st condition:
let the no.= 10x+y
7(10x+y)= 4(10y+x)
70x+7y=40y+4x
66x=33y
hence
2x=y
acc to 2nd cndition:
y-x=3 (1)
by putting the value of y in equ (1)
x=3 & y=6
so the no. is
36

Like? Yes (1) | No   

sobana karpagam   11 years AGO

in the above choices only 63,36,69 are having their diff as three.so by trial nd error we can find the ans as 36
6-3=3
7(36)=4(63)=252

Like? Yes (1) | No   

KALIDASS   11 years AGO

from the option take number that contains 3 as digit difference.Then the possible numbers are 63,36,69.
Within the above set of numbers 36 satisfies the above conditions.so ans is 36.

Like? Yes (2) | No (1)  

ShAg   11 years AGO

7*36 = 4*63 = 252
6-3 = 3

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sandy   11 years AGO

Given that 7[10x+y]=4[10y+x]
70x+7y=40y+4x
66x=33y
66x=33(x+3)[since given that y-x=3]
66x=33x+99
33x=99
x=3
given that y-x=3
therefore y=6
therefore ans is 36

Like? Yes (1) | No   

shubhangi gupta   11 years AGO

7*(10x+y)=4*(10y+x)
66x=33y
2x=y
and diff is 3

Like? Yes (1) | No   

Yallapu Uday tarun kumar   11 years AGO

7*x=4*y
10's digit-units digit=3
7*36=4*63=252

Like? Yes (1) | No   

naveen vaishnav   11 years AGO

1. (10x+y)7=(10y+x)4; 2x=y;
2. |x-y|=3;

Like? Yes (1) | No   

Rajani Kumari   11 years AGO

let ten's digit be x and ones digit be x+3
(since the difference between digits is 3)
hence the no. is
10x+(x+3)=11x+3
and reversing the digits the new no. is
10(x+3)+x=11x+30
now from given question we have equation as
7(11x+3)=4(11x+30)
77x-44x=120=21
33x=99
x=3
hence the no. will be 11*3+3=36

Like? Yes (1) | No   

KARUPPASAMY C   11 years AGO

36*7=252, 63*4=252,6-3=3 Ans=36

Like? Yes (2) | No (1)  

saranya   11 years AGO

7*36=252 and 4*63=252.
difference between the two digits 6 & 3 is 3
but other options does not satisfy the conditions

Like? Yes (1) | No   

Dilip B Gauswami   11 years AGO

if that
7xy=4yx
y-x=3
y=3+x
21+7x=12+4x
3x=-9
x=-3
if that x=3 positive value
x=3,y=6
36
7*36=4*63 same

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Nayan Agrawal   11 years AGO

its 36 only satisfy given question...............

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jangam ribka   11 years AGO

if we do 7*xy=4*yx,y-x=300 then go through option get 36 ans.

Like? Yes (2) | No (1)  

ATIQUR RAHMAN   11 years AGO

let x & y be two digit of a no. now from question
7(10x+y)=4(10y+x)
&
y-x=3
on solving this two eqn we get
x=3 & y=6
hence the no. is 36

Like? Yes (1) | No   

ankit patidar   11 years AGO

7(ab)=4(ba)
and
a-b=3
so...
7{10a+b}=4{10b+a}
put b=a+3
and solve u get a=3,b=6

Like? Yes (1) | No   

vijayaragavan   11 years AGO

36*7=252 63*4=252 6-3=3

Like? Yes (2) | No (1)  

ch.jyothsna   11 years AGO

let the digits be x and y then 7(10x+y)=4(10y+x)
and given y-x=3 solving these equations we get x=3 y=6
so number is 36

Like? Yes (1) | No   

FRANKLIN VIJAY   11 years AGO

7(10y+x)=4(10x+y)
on solving we get
2y-x=0 ......(1)
interchang difference is 3 so x-y=3......(2)
on solving 1 and 2 we get x=6 and y=3
on sub in 10y+x the number is 10(3)+6=36

Like? Yes (2) | No (2)  

Bingumalla Abinay   11 years AGO

3-6=3 difference

7*36=252
4*63=252

satisfies the all given conditions

Like? Yes (1) | No (1)  

Mayuresh Srivastava   11 years AGO

7(10x+y)=4(10y+x)
thus y=2x---(i) and y-x=3---(ii)
from (i) and (ii)
x=3, y=6.
so number=10x+y=36.

Like? Yes (1) | No (1)  

Mithlesh Prasad   11 years AGO

7(10x+y)=4(10y+x)
x-y=3
on solving,
therefore,x=3 and y=6

Like? Yes (1) | No (1)  

vigneshwari   11 years AGO

let the two digit number be 10x+y.
the number after interchanging the digits is 10y+x.
then, 7(10x+y) = 4(10y+x)=> 66x = 33y => 2x = y.
given that, y-x = 3
2x-x = 3 (put 2x=y).
x=3 then y=6.
required number = 10x+y = 36.

Like? Yes (1) | No (1)  

Rashmi bharti   11 years AGO

Let the digits are x and y,then
7*(x*10+y)=4*(y*10+x)
=>x/y=1/2=>x=y/2
Now,y-x=3
=>y-y/2=3
=>y=6 =>x=3
so,the number is 3*10+6=36.

Like? Yes (1) | No (1)  

ravi singh   11 years AGO

answer is 36

let no. is AB then
7*(10*A + B)=4*(A+10*B)

=>B=2A

and also given
B-A=3
=>2A-A=3
=>A=3
and B=6

hence no. is AB=36
hence option 6 is correct answer

Like? Yes (1) | No (1)  

Asiya Shazmi   11 years AGO

digits with difference 3 are 63,36,69
we can eliminate 63 and 69 because 63*7 and 4*36 are not equal and the same with 69.
given that,
36*7=252 and interchanging 36 we have 63, so,
63*4=252 and the difference between the digits 6 and 3 is 3.

Like? Yes (1) | No (1)  

Parthiban C   11 years AGO

let the digits be x,x+3
number=10x+x+3=11x+3,inter changed no=10(x+3)+x
then,7(11x+3)=4(10(x+3)+x),77x+21=44x+120
33x=99,x=3.
now ans is 36,check.7x36=4x63=252. so ans is 36

Like? Yes (3) | No (3)  

devendra kumar gond   11 years AGO

7(10x+y)=4(10y+x);
solving this we get y=2x;
and given that difference is x-y=3;
solving two given equation
we get x=-3;y=-6;
so no.is 36

Like? Yes (2) | No (3)