M4maths Previous Puzzles

30 Dec 2015 Profit

Deepak, Monu and Nitu started a shop by investing Rs.27000, Rs.81000 and Rs.72000 respectively. At the end of the year the profit was distributed in the ratio of their investment. If Monu's share of profit be Rs.36000, the total profit was

OPtion

1) Rs.116000
2) Rs.68000
3) Rs.108000
4) Rs.75000
5) Rs.95000
6) Rs.80000
7) Rs.105000
8) Rs.85000
9) Rs.120000
10)Rs.63000

Solution

Ratio shares = 27000:81000:72000 = 3:9:8
If Monu's share is Rs.9
total profit = Rs.(3+9+8) = Rs.20
Therefore 9:20 :: 36000 : x
x = 20*36000 /9 = Rs.80000

Option 6)

Correct Option: 6 Best Solution (51)

ABHINAV PUSHPAM   9 years AGO

Ratio of investment is 3:9:8 for deepak, monu and nitu respectively.
Profit of monu is 36000
so, its ratio is 36/9*20= 80000
Option 6)

Like? Yes (1) | No   

MRITUNJAY   9 years AGO

investment ratio of Deepak monu and neetu is 3:9:8
total profit=36000*20/9=80000
option 6

Like? Yes (1) | No   

Devendra Marghade   9 years AGO

Ratio of investments of Deepak, Monu & Nitu are 3 : 9 : 8 respectively
As 9x=36000, So (3+9+8)x=20x=36000*20/9=80000
Option 6)

Like? Yes (1) | No   

vamsi krishna   9 years AGO

ratio of shares = 27000:81000:72000 = 3:9:8
if monu's shares is Rs 9, total profit is
=3+9+8 = 20
= (20x36000)/9 = Rs.80000

Like? Yes (1) | No   

EMANDI KETHAN KUMAR   9 years AGO

ratio = 3:9:8
total profit = X say
(9/20)*X = 36000
X= 80000

Like? Yes (1) | No   

Venkateswarlu   9 years AGO

ratios of their investments= 27000:81000:72000
=3:9:8
profit of manu=36000.
9/20*x=36000 ==>x=36000*20/9 ==>80000

Like? Yes (1) | No   

NAVEEN KUMAR   9 years AGO

ratio of invesment of deepak , monu and Nitu
----->27000:81000:72000=3:9:8
let total profit = x
hence, monu's profit= 9x/20=36000
--->x=80000(total profit)

Like? Yes (1) | No   

RAJIV SINGLA   9 years AGO

investment ration was of 3:9:8
so for monu 36000/9=4000
total profit
4000*3+4000*9+4000*8=80000

Like? Yes (1) | No   

NIKHIL JAIN   9 years AGO

Since their investment are in the ratio 27000:81000:72000= 3:9:8
Then for monu 9x=36000
x=4000
hence total interest = 12000+36000+32000=80000

Like? Yes (1) | No   

Siva   9 years AGO

The ratio of investments is 3:9:8, the profit of monu gives as 36000 that is 9parts is equal to 36000, there is total 20parts so the total profit is 20*4000=80000.

Like? Yes (1) | No   

Param   9 years AGO

ratio 3:9:8
here 9x=36000
x=4000
ratio says 3*4000+9*4000+8*4000=80000

Like? Yes (1) | No   

Neelima Kongathi   9 years AGO

investment: 27000 : 81000 : 72000
3 : 9 : 8
monu's profit : 36000
profit ratio : 12000 : 36000 : 32000
total profit : 12000 + 36000 + 32000
: 80000

Like? Yes (1) | No   

ROHIT KUMAR DUBEY   9 years AGO

share ratio=27:81:72
let total profit is x
then,
(81/180)*x=36000
x=80000

Like? Yes (1) | No   

gowthami priya   9 years AGO

ratio of 3 persons 3:9:8
monu share profit=36000
so from monus profit &ratio it is known that x=4000
deepak =3x=12000
monu=9x=36000
nitu=8x=32000
12000+36000+32000=80000

Like? Yes (1) | No   

Anand Mishra   9 years AGO

Ratio of there investment are 3:9:8
so threre profit is also in same ratio
let total profit is x
then (9/20)*x=36000
x=80000 (Option 6)

Like? Yes (1) | No   

ANUP KUMAR BARICK   9 years AGO

ratio bet these three = 3,9,8

monu profitis 36000 for ratio 9 unit
so for ratio 1 unit = 4000
for deepak ratio 3 unit = 12000
for nitu ratio 8 unit = 32000

.
total profit = 12000 + 36000+32000
= 80000

Like? Yes (1) | No   

JEGATHA.H   9 years AGO

the ratio of their invest = 3:9:8
monus profit=36000
36000=total profit* monu profit ratio/total profit ratio
=x*9/20
x=80000

Like? Yes (1) | No   

Vishal Kumar   9 years AGO

Monu share of total amount is 36000 so then the Deepak share will become 12000 because the amount invested by Deepak is 3 times less so that the we found the ratio of 9000 investment then we get 4000 so that 8*4000=32000 of the share of Nitu so that the total share amount profit is 36000+12000+32000=80000

Like? Yes (1) | No   

Rajesh Landa   9 years AGO

ratio of investments 3:9:8
profit x= (36000×20)÷9

Like? Yes (1) | No   

Ashraf Mahmood    9 years AGO

Ratio of investments = 3:9:8
Let total profit be x
9/20 * x = 36000
x=80000

Like? Yes (1) | No   

mounica   9 years AGO

the ratio of the investments is3:9:8.let them be as3x:9x:8x
.monu's profit share is9x =36000then 'x' value is 4000.
substituting 'x' value in the total value i.e,3x+9x+8x=20x=20*4000=80000.

Like? Yes (1) | No   

sahil arora   9 years AGO

the share of monu is 9/20
the share of deepak is 3/20
the share of nitu is 8/20
let the total profit be x
therefore x*9/20=36000
on solving we get x=80000

Like? Yes (1) | No   

Ritesh kumar   9 years AGO

ans 80000
ratio of investment is 3:9:8
and profit is 12000+36000+32000=80000

Like? Yes (1) | No   

Rahul Sohal   9 years AGO

Their investment ratio is 3:9:8 total would be 3+9+8 =20 . so profit sharing will be according to their investment.
if Monu has earning 36000. so
Deepak earning will be 1/3rd of Monu is 12000.
and Nitu (8/9) *36000= 32000.
so total is 36000+12000+ 32000= 80000.

Like? Yes (1) | No   

aravindh.k   9 years AGO

27000*12:81000*12:72000*12=3:9:8
9/20=36000
so 20 parts equal to 80000

Like? Yes (1) | No   

Ritika   9 years AGO

27000:81000:72000=3:9:8
now,
9/3+9+8*x=36000
x=80000

Like? Yes (1) | No   

luciya   9 years AGO

Ration of D:M:N 27:81:72
TOATAL 180
Monu's share of profit= 36000
Total profit =180*36000/81= 80000

Like? Yes (1) | No   

krishna veni   9 years AGO

ratio of profits= 3:9:8
manus profit is = 9/20(x)=36000
x=80000

Like? Yes (1) | No   

Yallapu Uday tarun kumar   9 years AGO

D:M:N=3:9:8
profit for m:36000
9x=36000
x=4000
20x=80000

Like? Yes (1) | No   

selvam   9 years AGO

Total profit = ((36000/3)+(36000)+(36000/1.125))
= 80000

Like? Yes (1) | No   

Vaibhav Srivastava   9 years AGO

81000 = 36000
27000 = x
x = 12000

72000 = y
y = 32000
x + Y + 36000 = 80000

Like? Yes (1) | No   

Akash Panchal   9 years AGO

deepak invest 27000 3*
monu invest 81000 9*
nitu invest 72000 8*

36000/9 = 4000
dipak profit = 4000*3 = 12000

monu profit = 4000*9 = 36000

nitu profit = 4000*8 = 32000

so total will be 80000

Like? Yes (1) | No   

anjali gupta   9 years AGO

ratio of their investments = 27000:81000:72000= 3:9:8
monu's profit= 36000
let total profit = x
9x/20 = 36000
x= 80000 :)

Like? Yes (1) | No   

harsh dhir   9 years AGO

27000x:81000x:72000x=3x: 9x: 8x
9x/(3x+9x+8x)=36000
=80000

Like? Yes (1) | No   

vinusha   9 years AGO

80000

Like? Yes (1) | No   

AKASH   9 years AGO

Total Investment = 180000
Monu's Investment = 81000
So monu share in profit
x X 0.45 = 36000
So total Profit(x) = 80000

Like? Yes (1) | No   

anup kr giri   9 years AGO

let the total profit be x .
ratio of their investment is 3:9:8
share of monu=((9/20)*x)
according to problem
((9/20)*x)=36000
we get x=80000

Like? Yes (1) | No   

Shagun Chaudhary   9 years AGO

ratio of investments=27000:81000:7200
ratio of profits=3:9:8
9x=36000
x=4000
(3+9+8)x=20x=20×4000
=₹80000

Like? Yes (1) | No   

Kamlesh Kumar   9 years AGO

27:81:72

3:9:8

?:36000:?

36000=9 part
4000=1 part
12000=3 part
32000=8 part

total= 36000+12000+36000
80000

Like? Yes (1) | No   

SHIBU    9 years AGO

Ratio will be 3:9:8
Monu gets 36000.
So total= 36000*20/9
=80,000

Like? Yes (1) | No   

Anurag Bawankar   9 years AGO

Their investment is in the ratio 3x:9x:8x

Monus profit is 36k

Thus 9x=36k
x=4k

Total profit=20x=20×4k=80k

Like? Yes (1) | No   

sangeetha lukney   9 years AGO

3:9:8 then monu's share is 36,000,so 3+9+8=20,
9/20*x=36,000,
x=80,000

Like? Yes (1) | No   

sai chand   9 years AGO

we can get ratios of profits by equating ratios of investment like that we can ring all profits and add all of them to get total profits

Like? Yes (1) | No   

GOURANGA SUNDAR MANDAL   9 years AGO

let total profit is x..
the ratio of investment of dipak monu and nitu are..3:9:8
then the share of monu is x*9/20
this x*9/20=36000
so calculate this equ..we get x=80000
so option 6 is correct answer

Like? Yes (1) | No   

Janardhan   9 years AGO

27000:81000:72000 = 3:9:8
so manu's share is (9/(3+9+8))*x=36000
so x is the toal profit and ans 80000

Like? Yes (1) | No   

Ganesh   9 years AGO

ratio 3:9:8
and monu's share 9x=36000
x=4000
9x+8x+3x=80000
so total profit =80000

Like? Yes (1) | No   

bipinpatel   9 years AGO

If monu get 36000 then nitu gets 32000 and at last deepak gets 12000 Rs so the total of profit is 80000 Rs

Like? Yes (1) | No   

kajal   9 years AGO

ratio-3:9:8
monu's profit=36000
9/20*x=36000;where x is total profit!
x=80,000

Like? Yes (1) | No   

sumit kumar   9 years AGO

deepak:monu:nitu=27000:81000:72000
=3:9:8
let share in profit part of deepak=3x
as monu and nitu respectively=9x 8x
according to question
9x=36000
x=4000
total share of all three=3x+9x+8x=20x
so answer =20*4000=80000
option 6

Like? Yes (1) | No   

sujana   9 years AGO

it is a partnership problem so profit ratio=investment*time ratios after finding the profit ratio we get 3:9:8 then 9*T/20=36000 then we get total profit=80000

Like? Yes (1) | No   

RAHUL AGARWAL   9 years AGO

Ratio of share of Deepak, Monu,Nitu = ratio of their investments=27000:81000:72000=3:9:8.
Monu's share=Total profit*9/(3+9+8)
36000=Total profit*9/20
Total profit = 36000*20/9=80000

Like? Yes (1) | No   

29 Dec 2015 Stock and Shares

Upendra's net income from 5% Government paper is Rs.1225 after paying an income tax at the rate of 2%. Find the number of shares of Rs.1000 each owned by him.

OPtion

1) 20
2) 55
3) 45
4) 35
5) 40
6) 30
7) 65
8) 60
9) 25
10)None of these

Solution

Face value of 1 share = Rs.1000
Gross income on 1 share = Rs.(5/100 * 1000) = Rs.50
Income tax on 1 share's income Rs.(2/100 * 50) = Re.1
Net income on 1 share = Rs.49
In the net income is Rs.49, number of share = 1
If the net income is Rs.1225, number of shares
= 1/49 * 1225 = 25
Option 9)

Correct Option: 9 Best Solution (14)

anjali gupta   9 years AGO

face value of 1 share= 1000
gross income on 1 share= 5 *1000/100 = 50
income tax on 1 share's income = 2*50 / 100 = 1
net income on 1 share = 50 - 1 = 49
no. of share for profit of Rs 49 = 1
no. of share for 1225 = 1225 / 49 = 25 :)

Like? Yes (3) | No   

vamsi krishna   9 years AGO

face value of 1 share = 1000 Rs
gross income on 1 Share = ( 5 x 1000/100) = 50 Rs
income tax on 1 share's income= ( 2x50/100) = 1 Rs
net income on 1 Share = 50-1 = 49 Rs
for 1 share net income is 49 Rs
if net income is 1225, number of shares = 1225/49 = 25

Like? Yes (2) | No   

luciya   9 years AGO

Income before tax=1225*100/98=1250
Investment= 1250*100/5= 25000
No of shares= 25000/1000=25

Like? Yes (2) | No   

ABHINAV PUSHPAM   9 years AGO

Face value of 1 share is 1000
so, gross income will be = 5/100*1000= 50
Income will be 2/100*50 = 1
Net income = 50 - 1= 49
so , required no of shares will be = 1/49*1225= 25
Option 9)

Like? Yes (1) | No   

Shagun Chaudhary   9 years AGO

let he was having n shares of ₹1000 each.
Total value of shares=₹1000n
income tax on ₹1000n @2%=20n
Value of shares after paying income tax=980n
5% of 980n=1225
=>n=25

Like? Yes (1) | No   

Ritesh kumar   9 years AGO

let x=invest
y=total income
(y-x)-(y-x)2/100= 1225...eq(1)
(x*5)/100=1225..eq(2)
on solving eq 1 and 2
x=24500
andy=25750
so, ans is 25

Like? Yes (1) | No   

Jamil Ahmed   9 years AGO

Income before income tax = 1225*100/98 = 1250

No. of shares of Rs.1000/- each = (1250*100)/(5*1000) = 25

Like? Yes (1) | No   

Jaikumar Bhatia   9 years AGO

Let the number of shares=x
Then Total amount of share papers=1000x
Income on shares (ie5%)=1000x*(5/100)=50x=I1
Income tax on I1=I1*2%=50x*(2/100)=x=I2
Net income I=I1-I2
1225=50x-x
x=25
Therefore number of shares are 25
Ans is 25
option (9)

Like? Yes (1) | No   

Dinni   9 years AGO

Let the number of shares =x
Then Total amount of shares =1000x
Income on shares(5%)=1000x*(5/100)=50x=I(1)
Income tax on I(1) =(2%)={(1000x)*(5/100)}*(2/100)=x=I(2)
Net income (I) =I(1)-(2)
1225=50x-x
x=25

Like? Yes (1) | No   

vinusha   9 years AGO

Let the number of shares =x
Then Total amount of shares =1000x
Income on shares(5%)=1000x*(5/100)=50x=I(1)
Income tax on I(1) =(2%)={(1000x)*(5/100)}*(2/100)=x=I(2)
Net income (I) =I(1)-(2)
1225=50x-x
x=25

Like? Yes (1) | No   

avanthika   9 years AGO

Let the number of shares =x
Then Total amount of shares =1000x
Income on shares(5%)=1000x*(5/100)=50x=I(1)
Income tax on I(1) =(2%)={(1000x)*(5/100)}*(2/100)=x=I(2)
Net income (I) =I(1)-(2)
1225=50x-x
x=25

Like? Yes (1) | No   

Tinku   9 years AGO

Let the no of shares = x,
then total amount of shares = 1000x,
Income on shares (5%) = 1000x * (5/100=50x=I(1)
Income taxt on I(1) = (2%) = {(1000x)*(5/100)}*(2/100)=x=I(2)
Net Income (I)=I(1)-(2)
1225 = 50x-x
x=25
Answer is 25 shares.

Like? Yes (1) | No   

Saleel Kulkarni   9 years AGO

Let the total no of shares be x
So if the 5% income on x shares each of Rs.1000 will be 1000x*(5/100)=50x

So now Upendra has earned Rs 50x and he will now pay 2% tax i.e. 50x*(2/100)=x

So net income is 50x-x i.e. earned money-tax money=49x
and the given net income is Rs 1225
therefore 49x=1225
=>x=25

Like? Yes (1) | No   

ROHIT KUMAR DUBEY   9 years AGO

5%=1225
100%=24500
2% income tax=490
total=24500+490=24990
therefore share=24990/1000==>24.99=25

Like? Yes (1) | No   

28 Dec 2015 Sequence

What is the next number of the following sequence
84, 90, 94.5, 103.5,........

OPtion

1) 114.5
2) 107.5
3) 118.5
4) 118
5) 108
6) 120
7) 108.5
8) 112.5
9) 112
10)None of these

Solution

84
84 + 6 = 90 (number(84) + sum of all digit/2)
90 + 4.5 = 94.5 (----------)
94.5 + 9 = 103.5 (--------)
Similarly
103.5 + 4.5 = 108 (--------)

Option 5)

Correct Option: 5 Best Solution (24)

ROHIT KUMAR DUBEY   9 years AGO

84=(8+4)/2=6
84+6=90
(9+0)/2=4.5
90+4.5=94.5
(9+4+5)/2=9
94.5+9=103.5
(1+0+3+5)/2=4.5
103.5+4.5=108

Like? Yes (5) | No   

Devendra Marghade   9 years AGO

84+[(8+4)/2]=90
90+[(9+0)/2]=94.5
94.5+[(9+4+5)/2]=103.5
103.5+[(1+0+3+5)/2]=108
Option 5)

Like? Yes (4) | No   

RAKESH   9 years AGO

84 + (8+4)/2 ------ 90

103.5 +(1+0+3+5)/2 -------- 108

Like? Yes (3) | No   

ABHINAV PUSHPAM   9 years AGO

8+4=12/2= 6 +84
9+0=9/2 = 4.5+90
9+4+5=18/2 = 9+94.5
1+0+3+5= 9/2 = 4.5+103.5= 108
option 5)

Like? Yes (2) | No   

MRITUNJAY   9 years AGO

84 90 94.5 103.5
6. 4.5. 9
12/2. 9/2. 18/2. 9/2
next one is 103.5+4.5=108
option 5

Like? Yes (2) | No   

Yadu Vir Singh   9 years AGO

84 + (8 + 4)/2 = 90
90 + (9 + 0)/2 = 94.5
94.5 + (9 + 4 + 5)/2 = 103.5
103.5 +(1 + 0 +3 + 5)/2 = 108 Ans.

Like? Yes (2) | No   

Prasun   9 years AGO

add both the digits of the number and divide it by 2 and then add the result to the next term

Like? Yes (2) | No   

Vivek Ratan   9 years AGO

after adding the previous no's digits and making half of them, when we add the resultant with the previous no we get next no.

Like? Yes (1) | No   

NAVEEN KUMAR   9 years AGO

84, 84+(8+4)/2=90,90+(9+0)/2=94.5,94.5+(9+4+5)/2=103.5
similarly ,
next term=103.5+(1+0+3+5)/2=108

Like? Yes (1) | No   

Shreeya Kharbanda   9 years AGO

The first term in series is 84
To calculate the next term, firstly we calculate the sum of digits and then divide it by 2
So, 8+4=12 and 12/2=6
Then we increment 84 by 6, so we get the next term which is 90
Similarly we proceed to calculate the third term as follows
9+0=9 and 9/2=4.5
90+4.5=94.5
And for the fourth term
9+4+5=18 and 18/2=9
94.5+9=103.5
And similarly we calculate the fifth term
1+3+5=9 and 9/2=4.5
103.5+4.5=108

Like? Yes (1) | No   

Ritesh kumar   9 years AGO

ans -108
difference is 6 in first and second 4.5 and third 9...
so now 4.5 add to 103.5

Like? Yes (1) | No   

Abhay Gawade   9 years AGO

next val = (current value) + (addition of each digit of current value)/2

Like? Yes (1) | No   

Yallapu Uday tarun kumar   9 years AGO

sum should be 9 (Option 5 and 8 has sum 9)
Most probably next number should be a integer so opted for option 5

Like? Yes (1) | No   

luciya   9 years AGO

8+4=12/2=6
84+6=90
9+0=9/2=4.5
90+4.5=94.5
9+4+5=18/2=9
94.5+9=103.5
1+0+3+5=9/2=4.5

103.5+4.5= 108

Like? Yes (1) | No   

Dinni   9 years AGO

add the digits and divide by 2
103.5 = 9/2=4.5
103.5+4.5=108

Like? Yes (1) | No   

mish mehta   9 years AGO

84:(8+4)/2=6 now,84+6=90
90:(9+0)/2=4.5 now 90+4.5=94.5
94.5(9+4+5)/2=9 now 94.5+9=103.5
similarly,
103.5:(1+0+3+5)/2=4.5 now 103.5+4.5=108.
hence the next no. will be 108

Like? Yes (1) | No   

RAHUL AGARWAL   9 years AGO

pattern ( to get next term = previous term + add all the digits of previous term & divide by 2)
84+(8+4)/2=84+6=90
90+(9+0)/2=90+4.5=94.5
94.5+(9+4+5)/2=103.5
103.5+(1+3+5)/2=108

Like? Yes (1) | No   

RAJIV SINGLA   9 years AGO

add digits n divide it by 2 n add the result to base ans.
84-> (8+4)/2=6 => 84+6=90
90-> (9+0)/2=4.5 => 90+4.5=94.5
94.5-> (9+4+5)/2=9 => 94.5+9=103.5
103.5-> (1+0+3+5)/2=4.5 => 103.5+4.5=108

Like? Yes (1) | No   

Tinku   9 years AGO

84= (8+4)/2 = 6+84 =>90,
90= (9+0)/2 = 4.5 + 90 => 94.5,
94.5= (9+4+5)/2 = 9+94.5 => 103.5,
103.5= (1+3+0+5)/2 =4.5 + 103.5 => 108

Answer : 108

Like? Yes (1) | No   

Shagun Chaudhary   9 years AGO

(8+4)/2=6;84+6=90
(9+0)÷2=4.5;90+4.5=94.5
(9+4+5)÷2=9;94.5+9=103.5
(1+0+3+5)÷2=4.5;103.5+4.5=108

Like? Yes (1) | No   

POOJA SINGH   9 years AGO

((8+4)/2 )+84=90
((9+0)/2)+90=94.5
((9+4+5)/2)+94.5=103.5
((1+0+3+5)/2)+103.5=108

Like? Yes (1) | No   

Saleel Kulkarni   9 years AGO

Logic is addition of the given number and the half of sum of all the digits in the number is the next number.

84+((8+4)/2)=90
90+((9+4)/2)=94.5
94.5+((9+4+5)/2)=103.5
103.5+((1+0+3+5)/2)=108

Like? Yes (1) | No   

susheel kumar   9 years AGO

add the digits in the num,divide result by 2 then increment the num withresult .

Like? Yes (1) | No   

Arti saraswat    9 years AGO

(8+4)/2=6 then 6+84=90.
Again,
(9+0)/2=4.5 then 4.5+90=94.5.
Similarly
(9+4+5)/2=9 then 9+94.5=103.5.
Similarly
(1+0+3+5)/2 then 4.5+103.5=108

Like? Yes (1) | No   

25 Dec 2015 Surface area

If x, y, z be the height, curved surface area and volume of a cone respectively, then (3*Pi*z*x^3 - y^2*x^2 + 9z^2)

OPtion

1) 2 Pi
2) 16 Pi^2
3) 4 Pi
4) 0
5) 8 Pi
6) 8
7) 32 Pi^2
8) 4
9) 2 Pi^2
10)None of these

Solution

Let radius r
y = Pi r Sqrt(r^2 + x)
y^2 = Pi^2 r^2 (r^2 + x)
and z = 1/3 Pi r^2 x
Using this and solve
answer is 0

Option 4)

Correct Option: 4 Best Solution (14)

Bryan Tsai   9 years AGO

x = h
y = PI * r * l
z = PI * r^2 * h/3

l^2 = r^2 + h^2

3 PI * z * x^3 - y^2 * x^2 + 9 z^2 =
3 PI * PI * r^2 * h/3 * h^3 - PI ^2 * l^2 * h^2 + 9 PI^2 * r^4 * h^2/9 =
PI^2 * r^2 * h^4 - PI^2 * r^2 * l^2 * h^2 + PI^2 * r^4 * h^2 =
PI^2 * r^2 * h^2 * (r^2 + h^2) - PI^2 * r^2 * h^2 * l^2 =
PI^2 * r^2 * h^2 * l^2 - PI^2 * r^2 * h^2 * l^2 =
0

Like? Yes (2) | No   

ANUP KUMAR BARICK   9 years AGO

height = h,
surface area= pi*r*s + pi*r^2
volume =pi*r^2*h÷3

by applying in main equation , it will be zero

Like? Yes (1) | No   

MRITUNJAY   9 years AGO

put the value of x y and z we get the value
of equation =0
option 4

Like? Yes (2) | No (1)  

NIKHIL JAIN   9 years AGO

csa= pi*r*l= pi*r* (h^2+r^2)^1/2
volume= 1/3 * pi* r^2* h

on solving the above equation, answer = 0

Like? Yes (1) | No   

Vivek Ratan   9 years AGO

csa of cone is pi*r*l where l=(r.(sq)+x(sq))
volume of cone is 1/3*pi*r(sq)*x

substituting the values in above equation and solving we get 0

Like? Yes (1) | No   

sumit kumar   9 years AGO

cone volume z= 1/3*pi*r^2*x [height=x]
surface area y=pi*r*l=pi*r*(x^2+r^2)^1/2
so puting these value in question
3*pi*z*x^3 -y^2*x^2 +9z^2
we get 0
so option 4

Like? Yes (1) | No   

Jaikumar Bhatia   9 years AGO

Height of cone =h=x
Curved surface area of cone=pi*r*sqrt(r^2+x^2)=y
Volume of cone=(1/3)*pi*r^2*x=z
Given
(3pizx^3)-(y^2x^2)+(9z^2)....................................(i)
by putting the values of y and z in equation (i)
={3pi(1/3pir^2x)x^3}-{[pirsqrt(r^2x^2]^2x^2}+{9(1/3pir^2x)^2}
={pi^2r^2x^4}-{(pi^2r^4x^2)+(pi^2r^2x^4)}+{pi^2r^4x^2}
=0
ans is 0
option is (4)

Like? Yes (1) | No   

Anurag Bawankar   9 years AGO

x=h
y=pi r sqrt(r^2+h^2)
z=pi r^2 h/after putting these values all the terms get cancled

Like? Yes (1) | No   

BODLA PAVANI   9 years AGO

x=h,y=pi*r*l,z=1/3(pi*r^2*h and l^2=h^2+r^2. substitute these values in the equation will get zero.

Like? Yes (1) | No   

Jamil Ahmed   9 years AGO

Let r be the radius, then slant height = square root (r^2+x^2)

Therefore, y = Pi*r*square root(r^2+x^2) and z = Pi*r^2*x/3

Now,
3*Pi*z*x^3 - y^2*x^2 + 9z^2
= Pi^2*r^2*x^4 - Pi^2*r^2*(r^2+x^2)*x^2 + Pi^2*r^4*x^2
= Pi^2*r^2*x^4 - Pi^2*r^4*x^2 - Pi^2*r^2*x^4 + Pi^2*r^4*x^2
= 0

Like? Yes (1) | No   

RAHUL AGARWAL   9 years AGO

(Curved surface area of cone) y=pi*r*l, where r & l are radius & slant height of cone.
(volume of cone) z=pi* r^2*x/3 , where x is height of cone.
l^2=r^2+x^2
3*pi*z*x^3-y^2*x^2+9z^2 = pi^2*r^2*x^4-pi^2*r2*l^2*x^2+pi^2*r^4*x2
=pi^2*r^2*x^4-pi^2*r^2*(r^2+x^2)*x^2+pi^2*r^4*x^2
cancel all the terms we get 0
=0 (ans)

Like? Yes (1) | No   

ROHIT KUMAR DUBEY   9 years AGO

as a curve surface area of cone=pi*r*l
where l^2=(r^2+h^2)
volume=1/3 pi*r^2*h
putting all value in given equation
we get result =0

Like? Yes (1) | No   

RENU KUMARI   9 years AGO

by putting 1/3pir^2h in place of volume and pirl where l^2=r^2+h^2 in place of curved surface area we get zero.

Like? Yes (1) | No   

Nandkishor jaiswal   9 years AGO

given that
x=h
y=pi*r*l
z=pi*r^2*h
from solving the equation
3*pi*2*x^3-y^2*x^2+9*z^2=0

Like? Yes (1) | No (1)  

24 Dec 2015 Simple Interest

Mukesh borrowed Rs.830 from Uday at 12% rate of interest for 3 years. He then added some more money to the borrowed sum and lent it to Rakesh for the same time at 14% simple interest. If Mukesh gains Rs.93.90 in the whole transaction, then the sum lent by him to Rakesh is

OPtion

1) Rs.865
2) Rs.885
3) Rs.910
4) Rs.985
5) Rs.1035
6) Rs.965
7) Rs.935
8) Rs.875
9) Rs.1055
10)Rs.1065

Solution

x*14*3/ 100 - 830*12*3/100 = 93.90
x = 935
Option 7)

Correct Option: 7 Best Solution (15)

anjali gupta   9 years AGO

Case 1:
mukesh took money from uday,
SI= (830*12*3)/100
=298.8
Case 2:
Money mukesh gave to Rakesh= 830+x
SI=(830+x)14*3/100
= 348.6+0.42x
Mukesh's profit= 93.90
=((830+x)+(348.6+0.42x))-(830+x)-298.8
On solving,
x=195
Total money lent to Rakesh=830+105=935
:)

Like? Yes (4) | No   

SHUBHAM   9 years AGO

let X be the money added then
((830+X)*14*3-(830)*12*3)/100=93.9
we calculate X as 105 & the money lent will be 830+105=935
option (7) is correct

Like? Yes (3) | No   

sanjeet kumar   9 years AGO

sum of mukesh= (830*12*3)/100

sum of rakesh=(x*14*3)/100

rakesh - mukesh=93.90
(x*14*3)/100 - (830*12*3)/100=93.90 ( then find the value of x)

then x=935 Ans.

Like? Yes (3) | No   

JEGATHA.H   9 years AGO

uday interest =pnr/100 i=830*3*12/100 = 298.8
mukesh interest= 298.8+93.90 = 392.70
rakesh interest= pnr/100
392.70 = (830+ x)*3*14/100
830+x = 935

Like? Yes (3) | No   

MRITUNJAY   9 years AGO

Let extra money lent is x

(830+x)*14*3/100. -830*12*3/100=93.90

Solve x= 105

Sum lent to Rakesh is 830+105=935
Option 7

Like? Yes (2) | No   

sumit kumar   9 years AGO

let mukesh add x amount money.
so total amount lended by mukesh is 830+x ..........(1)
a/c to question
(830+x)*14*3/100 - 830*12*3/100=93.90
after solvin it
x=105
from eqUtion 1
amount is 830+105
935
option 7

Like? Yes (3) | No (1)  

Siva   9 years AGO

mukesh barrowed 830
let he gives rakesh is 830+x
then according to simple interest
(830+x)*(14/100)*3-830*12/100*3 = 93.9
830+x =((9390/3)+830*12)/14 =935
the required amount that Mukesh gives Rakesh is 935/-

Like? Yes (2) | No (1)  

RITESH KUMAR JHA   9 years AGO

(830+x)×14×3/100-830×12×3/100=93.90.so, ans is no.7. value of x is 935.

Like? Yes (2) | No (1)  

Vivek Ratan   9 years AGO

The difference of interest paid by Rakesh and Mukesh when equalled to 93.90 gives the value 935.

Like? Yes (1) | No   

Rahul Sohal   9 years AGO

calculate the total amount to be given by end of 3 years is 298.8 + mukesh gain 93.9 = 393 which is the total money gain by mukesh from money he lent to rakesh. so calculate the principle amount using SI formula gives us 935 as answer.
393 = ( P * 14 * 3)/100

Like? Yes (1) | No   

NIKHIL JAIN   9 years AGO

Intereset paid by mukesh to uday= (830*12*3)/100= 298.8
Gain by mukesh on whole transaction= 93.9
This means rakesh must have paid interest = 298.8+93.9=392.7
Let sum lent by mukesh to rakesh = x
Therefore, x*14*3/100=392.7
on solving x= 935

Like? Yes (1) | No (1)  

RAHUL AGARWAL   9 years AGO

acc. to Q
let mukesh lent to rakesh= 830+x
{(830+x)*14*3/100}-830*12*3/100=93.9
830*3*(14-12)/100+3*14*x/100=93.9
3*14*x/100=93.9-49.8=44.1
x=105
830+x=830+105=935 (ans)

Like? Yes (1) | No (1)  

Jamil Ahmed   9 years AGO

Interest earned by Uday = 830*12*3/100 = 298.80

So, interest earned by Mukesh by lending to Rakesh = 298.80+93.90 = 392.70

Therefore, amount lent by Mukesh to Rakesh = (392.70*100)/(14*3) = 935

Like? Yes (1) | No (1)  

Neelanjan Ghosh   9 years AGO

Let the extra sum added by mukesh be x,
So therefore A1=830+Interest on 830 fro 3 years at 12%
and A2=(830+x)+Interest on (830+x) for 3 years at 14%
therefore according to question
A2-A1=93.90
thus we calculate x.

Like? Yes (1) | No (1)  

luciya   9 years AGO

Let x be the amount given to Rakesh
( 830*12/100*3 ) + 93.90 = x*14/100*3
x=935

Like? Yes (1) | No (2)  

23 Dec 2015 Maximum Profit

Rate list of some liquids purchased by Rajneesh is
Item ------- Rate per litre ------- Amount required in litres
Milk ------------ 20/- ---------------------- 5
Oil ------------- 80/- ---------------------- 1
Cream ----------- 120/- --------------------- 0.5
A shopping mall offers a discount of 10%, 20% and 30% in the rate of following items. These discounts are given according to the demand of customer. For getting maximum profit, Rajneesh will use 30% discount in (.........) Item and he will pay (........) rupee to the shopkeeper.

OPtion

1) Cream, 196
2) Oil, 190
3) Mile, 178
4) Milk, 190
5) Milk, 188
6) Oil, 194
7) Milk, 180
8) Oil, 188
9) Cream, 178
10)Oil, 178

Solution

In the problem, Rajneesh has to invest 100 rupee in 5 litre milk, 80 rupee in 1 litre oil and 60 rupee in 0.5 litre cream, therefore for getting maximum profit he will use 30% discount in milk of maximum price then 20% in oil and 10% in cream of minimum price.

Option 5)

Correct Option: 5 Best Solution (21)

RAKESH   9 years AGO

M ---------- O ------------- C
100 ----- 80 --------- 60
30% --- 20% ----- 10%
70+64+54 = 188

Like? Yes (5) | No (1)  

anjali gupta   9 years AGO

money reqd for milk= 20*5=100
oil= 80*1=80
cream= 120*0.5=60
he will use max discount for max price i.e. milk
for max benefit of rajneesh,
70%100+80%80+90%60
(taking discounts as 30% on milk, 20% on oil and 10% on cream)
= 70+64+54
=188 :)

Like? Yes (2) | No   

Saleel Kulkarni   9 years AGO

For obtaining maximum discount Rajneesh will apply maximum discount rate on maximum priced item.
So 5 lit of milk = 100/- will get 30% discount = 70/-
1 lit of oil = 80/- will get 20% discount = 64/-
and 0.5 lit of cream = 60/- will get 10% discount = 54/-
Therefore total expenditure =188/-
So option 5

Like? Yes (2) | No   

MRITUNJAY   9 years AGO

for maximum profit

milk 30%
oil 20%/and cream 10%
total amount is 70+64+54=188

Like? Yes (1) | No   

Kumar   9 years AGO

milk --20 per lt--total need 5lt--------total amount rs 100
oil ---rs 80 per lt--need 1----------total amount rs 80
cream----rs 120 per lt---need 1/2 lt------total amount rs 60

to get max profit rajneesh should use 30% discount on oil
20% on oil and 10% on cream
therefore total amount he will pay to the shopkeer is 70+64+54=188

Like? Yes (1) | No   

ABHINAV PUSHPAM   9 years AGO

There should be 30% discount on Milk. And total money to be paid by Rajneesh will be 30% of 100+ 20% of 80 + 10% of 60 = 188
So, Option 5)

Like? Yes (1) | No   

NIKHIL JAIN   9 years AGO

after giving 30% discount amount paid for milk =70
for oil 20% discount= 64
and cream= 54
total amount paid= 188

Like? Yes (1) | No   

Vivek Ratan   9 years AGO

the total amount without discount for each items are
milk=100
oil=80
cream=60

which means rajneesh needs to pay max for milk so he will avail
the maximum discount of 30% on milk
a discount of 20% on oil
and minimum discount of 10% on cream

total amount =
70% of milk total price+80%of oil total price + 90% of cream total price
=70+64+54=188

that is milk,188

Like? Yes (1) | No   

vineesha p   9 years AGO

Total actual price=20*5+80*1+120*0.5=240
If we apply maximum profit to the high priced item i.e.,Milk he will get a discount
52rs/-
So he will pay 240-52=188rs/-

Like? Yes (1) | No   

Dinni   9 years AGO

30%in 5 litre milk =rs.70
20% in 1 litre oil=rs.64
10% in 500ml cream=54
total rs.188 and 30% discount is in milk

Like? Yes (1) | No   

Anurag Bawankar   9 years AGO

Initially milk =100, oil=80,cream=60
After applying discount milk=70, oil=64, cream =54 thus total=188

Like? Yes (1) | No   

RAHUL AGARWAL   9 years AGO

actual price=5*20+80+60=240
for max. profit rajneesh use 30% discount in milk
price after discount={100-(20*5*30/100)}+{80-(80*20/100)}+{60-(60*10/100)}=70+64+54=188

Like? Yes (1) | No   

Yallapu Uday tarun kumar   9 years AGO

milk 30% discount
oil 20% discount
cream 10 % discount

Like? Yes (1) | No   

ram chandra   9 years AGO

milk amount is 20*5 is 100
lly oil is 80*1 is 80
ice cream is 120*0.5 is 60
so Max discount on milk is 30 and it is 30 Rs
lly discount on oil is 20 and it is 16 Rs
discount on ice cream is 10 and it is 6 Rs
therefore total amount he will pay is
(100-30)+(80-16)+(60-6)=188

Like? Yes (1) | No   

Sumit Kumar   9 years AGO

without any discount rajneesh pays (100 + 80 + 60) =240
for max profit, he should opt for max discount in the item of max value and least discount on least expensive(as per his need).
So he pays (70 + 64 + 54) = 188

Like? Yes (1) | No   

Jamil Ahmed   9 years AGO

Before discount, total price of the items purchased is as follows:

Milk - Rs.100/-
Oil - Rs.80/-
Cream - Rs.60/-.

In order to get maximum profit, Rajneesh should use discount rates in the same order as the total prices of the items i.e. he should use 30% discount for purchase of Milk whose total is maximum (Rs.100/-).

Therefore, Price of the items after discount are as follow:
Item (Total Price) ----- Discount rate ---- Price after discount
Milk (100) ------ 30% ----- 70
Oil (80) ------ 20% ----- 64
Cream (60) ------- 10% ----- 54

Total (240) -------------------------------- 188

Hence, Rajneesh will use 30% discount in MILK and will pay Rs.188/- to the shopkeeper.

Like? Yes (1) | No   

pawan Kumar   9 years AGO

Milk have maxm demand so on that he get 30% discount so he pay 70 for that on oil he get 20%off so he pay 64 and on oil he get 10%off so he have to pay 54 for that he pay total 188

Like? Yes (1) | No   

sanjeet kumar   9 years AGO

cost of milk(5L)=100
cost of oil(1L)=80
cost of cream(1/2L)=60

for taking a max discount he has to take
30% dis for milk=(100*30)/100=30
20% dis for Oil=(80*20)/100=16
10% dis for cream=(60*10)/100=6

total dis= 30+16+6=52
total price=100+80+60=240
Total Amount paid=240-52=188

Like? Yes (1) | No   

RITESH KUMAR JHA   9 years AGO

apply 30% on milk so we get maximum profit and after this u have to apply 20% on oil and 10% on cream . Now sum the all value aftermath and u get 188.

Like? Yes (1) | No   

sumit kumar   9 years AGO

we try to get maximum discount at maximum price value ..so i use 30 percent discount on milk..than 20 percentduscount on less than that amount..so ans is 188 on milk

Like? Yes (1) | No   

shankar kumar sandilya   9 years AGO

He will take 30% discount on milk so total Rs 70 and 20% on oil = 64 and 10 % discount on cream =54 so total rupees = 70+64+54= Rs188

Like? Yes (1) | No   

22 Dec 2015 Percentage

Mahindra's salary is half that of Bhuwan. If Mahindra got a 50% rise in his salary and Bhuwan got a 25% rise in his salary, then the percentage increase in combined salaries of both is

OPtion

1) 30%
2) 55%
3) 33.33%
4) 25.5%
5) 32.33%
6) 37.5%
7) 35.5%
8) 75%
9) 23.33%
10)66.33%

Solution

Let Mahindra's salary be x Then Bhuwan salary = 2x
New salary of Mahindra x = 150% of x = 3/2 x
New salary of Y = 125% of 2x = 5/2x
Total combined salary of both = (3/2x + 5/2y) = 4x
Therefore Required increase = x/3x * 100 = 33.33 %
Option 3)

Correct Option: 3 Best Solution (38)

ABHINAV PUSHPAM   9 years AGO

Let the salary of Bhuwan be 100. Then, salary of Mahindra will be 50
50% rise in salary of Mahindra equals to 75
Similarly, 25% rise in salary of Bhuwan equals to 125.
So , the combined new salary is 200.
%age increase = {(200-150)/150}*100
= 33.33%
Option 3)

Like? Yes (21) | No (6)  

Mainak Bhattacharjee   9 years AGO

m's sal = x
b's sal = x/2
total sal= x + x/2 = 3x/2
after increasing:
m's sal = (150/100)*(x/2) = 3/4*x
b's sal = (125/100)*(x) = 5/4*x
total sal = 2x
increase = 2x-(3x/2) = x/2
increase percentage = (x/2)*(100/3x) = 33.33 %

Like? Yes (11) | No (1)  

L.Tarun kumar   9 years AGO

B=100...........25%=125
M=50............50%=75
Total=150. Total=200
So the differenence is 50.
Therefore formula is (50÷150)×100=33.33

Like? Yes (11) | No (2)  

Saleel Kulkarni   9 years AGO

Let us consider Mahindra's salary be x
then Bhuvan's salary will be 2x
So total salary will be 3x

Now Mahindra got 50% rise so his salary now is 1.5x
and Bhuvan got 25% rise so his salary will be 1.25(2x) = 2.5x
So total salary = 4x

Therefore total increment is of x out of 3x
so (x/3x)*100=33.33%
Option 3

Like? Yes (4) | No   

Mahendra Choudhary   9 years AGO

Let Mahindra's Salary is 50
And Bhuwan's is 100
Mahindra's Salary increased by 50% then new salary is 50*1.5=75
Bhuwan's salary increased by 25% then new salary is 100*1.25=125
Total increment in both salaries (125-100)+(75-50)=50 Rs
Percentage growth is (50/150)*100=33.33%

Like? Yes (5) | No (2)  

Yallapu Uday tarun kumar   9 years AGO

total salary after hike: 1.5x+2.5x=4x
salary before hike: x+2x
% increase= (4x-3x)/3x*100 = 33.33%

Like? Yes (3) | No   

Arifa   9 years AGO

Let bhuwan's salary-B=x.so,mahindra's salary-M=x/2. Bhuwan's new salary B1=x+25%x. Mahindra's new salary M1= (x/2)+(x/2)*50%.percentage increase=((M1+B1)-(M+B)/(M+B))*100 =33.33%.ANS 3)OPTION

Like? Yes (3) | No   

Nandkishor jaiswal   9 years AGO

let mahendra salary is 100 rs
then bhuwan salary will be 200rs
total there salary will be 300 rs
mahendra increasing 50% salary then total salary will be 150 rs
bhuwan increasing 25% salary then total salary will be 250 rs
then total there salary will be 400 rs
so total rise will be 100*100/300=33.33%

Like? Yes (2) | No   

potani manikumar   9 years AGO

combined initial salary= (3/2) bhuvan's
after hike = 2*bhuvan's
so percentage of increase is 33.33%

Like? Yes (3) | No (1)  

MRITUNJAY   9 years AGO

Let the salary of Bhuwan be 100. Then, salary of Mahindra will be 50
50% rise in salary of Mahindra equals to 75
Similarly, 25% rise in salary of Bhuwan equals to 125.
So , the combined new salary is 200.
%age increase = {(200-150)/150}*100
= 33.33%
Option 3)

Like? Yes (2) | No   

Vivek Ratan   9 years AGO

on summing the increments of both and dividing by total sum we get 33.33%

Like? Yes (3) | No (1)  

Jaikumar Bhatia   9 years AGO

Let's Bhuwan salary=x
Then Mahindra's salary=x/2
Basic salary=x+x/2=3x/2
Total of basic salaries+% increase=
[(x/2)+(x/2*1/2)]+[x+x/4]=2x
Therefore
% increase={[2x-(3x/2)]/(3x/2)}*100
=33.33%
ans is 33.33%
so option is 3

Like? Yes (2) | No   

Srikanthreddy    9 years AGO

let salary of bhuwan=x, sal of mahindra=x/2.
then increase in salary =(150x/200)+(125x/100)=2x.
then percentage of increase in sal=(2x/(3x/2))*100=33.33%

Like? Yes (3) | No (1)  

luciya   9 years AGO

Let Mahindra's salary be Rs . 100
Bhuwan's salary = 2* 100 = 200
Total=300

After increase Mahindra's salary = 100+50%=150
Bhuwan's salary =200+25%= 250
Total=400

% increase in combined salary = { (400-300)/300 }*100 = 33.33%

Like? Yes (2) | No   

Suchismita Maiti   9 years AGO

Let Mahindra's salary be x and Bhuwan's salary be 2x.
Increase in Mahindra's salary=50% of x=x/2
Increase in Bhuwan's salary=25% of 2x= x/2
Percentage increase in combined salaries= (x/2 + x/2)/(x + 2x)X 100%= 33.33%

Like? Yes (2) | No   

ram chandra   9 years AGO

Mahindra sal=x
Bhushan sal=2x
Total=3x
After 50â„… increased Mahi sal=150/100 x
Similarly 25â„… increased bhushan sal = 125/100 x
Total sal after increment = 150/100 x+125/100 x
=4x
Change in sal= (4x-3 x/3x)*100
=33.33â„…

Like? Yes (1) | No   

Anurag Bawankar   9 years AGO

let Mahindra's salary be 500 and that of Bhuvan's be 1000
Total=1500
After increment M=750
and B=1250
Total=2000
thus increment =500
(500/1500)*100=33.33%

Like? Yes (1) | No   

abhinav   9 years AGO

Let bhuvan salary =x
Mahendra salary =x/2
Total salary =3x/2

After raising salary
X/2*(50%)+x*(25%)+3x/2
==2x
Percentage raised =(2x-3x/2)*100/(3x/2)
==33.33%

Like? Yes (1) | No   

raju   9 years AGO

let bhuvan salary be 100 so mahindra salary is 50
then after increases
bhuvan sal is 125 and mahindra salary is 75
combined %increase=((200-150)/150)×100=33.33%

Like? Yes (1) | No   

sumit kumar   9 years AGO

let bhuwan salary is 100
so, mahindra salary is 50
a/c to question
new salary of bhuwan =125
new salary of mahindra=75
total salary of both=125+75=200
increase in salary=200-(100+50)=50
%age increase in salary=50*100/150=33.33%
option is 3

Like? Yes (1) | No   

RITESH KUMAR JHA   9 years AGO

both get x/4 increase in salary. so, percentage increase equal to x/4+x/4=2x/4/3x/2×100=33.33%

Like? Yes (1) | No   

Param   9 years AGO

SUPPOSE B=RS.100,SO M=50.A/Q>>>B=125,M=75TOTAL 200 NOW BUT INITIALLY 150
200-150=50>>50/150*100=33.33%

Like? Yes (1) | No   

TARUN CHAUHAN   9 years AGO

let mahendra salary=rs50
bhuwan salary =rs 100

mahendra increase 50% = rs 25
bhuwan=rs 25
total increase=rs 50
%increase=(50/150)*100=33.33

Like? Yes (1) | No   

ANUP KUMAR BARICK   9 years AGO

bhuan = 2x+25% of 2x
mahindra= x+50% of x
.
percentage= increase in salary / original salary

Like? Yes (1) | No   

JEGATHA.H   9 years AGO

let Bhuwan salary = x
then mahindra salary = x/2
initial salary=x+x/2=3x/2
then 50% rise in mahindra salary = 150% of x/2=3x/4
then 25% rise in bhuwan salary=125% of x=5x/4
overall salary rise =3x/4+5x/4= 2x
increase in salary= 2x-3x/2=x/2
percentage increase= (x/2)*100/(3x/2)=33.33%

Like? Yes (1) | No   

Retard   9 years AGO

Begin: 50 | 100
Increase: 25 | 25
Cum. incr.: 50
Net Incr. 50/(50+100)-1=0.3333

Like? Yes (1) | No   

sanjeet kumar   9 years AGO

m=x, b=2x,
50+, 25*2=50+,
then,
3x=100
x=33.33%

Like? Yes (1) | No   

Shreeya Kharbanda   9 years AGO

Let the salary of Bhiwan be Rs 200, then Mahindra's salary is Rs 100
According to the question, new salary of Mahindra becomes Rs 150 and Bhuwan's salary becomes Rs 250
So the combined new salary is Rs 400
Hence percentage increase in combined salary = ((400/300)*100) - 100 = 33.33%

Like? Yes (1) | No   

NIKHIL JAIN   9 years AGO

Let salary of B= 100
then salary of M= 50
25% rise in salary of B= 125
50% rise in salary of M =75
combined salary before increment= 150
combined salary after increment= 200
% increment =[(200-150)/150]*100= 33.33%

Like? Yes (1) | No (1)  

ashutosh   9 years AGO

because we got a total increment in both salaries are 500
which is got by solve this equation
(1500*33.33)/100=499.95
equal to combined increment.

Like? Yes (1) | No (1)  

RAHUL AGARWAL   9 years AGO

Let Bh. salary =x
mah. salary = x/2
after rise
mah. salary= 50% of x/2=x/4
bh. salary= 25% of x=x/4
total increased salary of both= (x/4)+(x/4)=x/2
total salary of both person =x+x/2=3x/2
required %age=(x/2)/(3x/2)*100=100/3=33.33%

Like? Yes (1) | No (1)  

Jamil Ahmed   9 years AGO

Let Bhuwan's salary be 100.
Then Mahindra's salary = 50

Now, after rise in salary, Mahindra is getting 50+25=75 and Bhuwan is getting 100+25=125.

Total increase = 25+25=50 whereas total salary before increase was 100+50=150.

Hence, percentage increase in combined salaries of both = 50*100/150 = 33.33%.

Like? Yes (1) | No (1)  

Sumit Kumar   9 years AGO

let salary of bhuwan = 100
so salary of mahindra = 50
old salary = 150
now after increase, new salary = (125 + 75) = 200
percentage increase = 50/150 * 100 =33.33

Like? Yes (1) | No (1)  

Rohini Somayajula   9 years AGO

initially salaries x,x/2. x+x/2=3x/2. aftr inc salaries 3x/2,3x/4.3x/2+3x/4=x/2.(x/2/(3x/2))*100=33.33

Like? Yes (1) | No (1)  

mohit   9 years AGO

let the salary of bhuwan be 100,then the salary of mahindra is 50.
after increment bhuwam salary be 125 and mahindra salary is 75
then combined new salary is 200 and old combined salary is 150.
hence % increase in combined salary is 200-150/150×100=33.33%

Like? Yes (1) | No (1)  

Anuj Rai   9 years AGO

Suppose mahindra salary is 50 then bhuwan is 100
combined salary =150 .....(i)
after 50% hike mahindra salary is 75
bhuwan salary after 25% hike is 125
new combined salary is 200 ....(ii)
subtract equation (ii) from (i)
50
%age change = (50/150)*100 = 33.33%

Like? Yes (1) | No (1)  

shankar kumar sandilya   9 years AGO

Suppose , bhuvan salary is 100 then mahindra salary will be half of it as 50 ..
50% increase of mahindra salary ,so =75 .
Now 25% increase of bhuvan salary ,so= 125.
So percentage increase in combined salary= 50/150 *100= 33.33

Like? Yes (1) | No (1)  

RAHUL KUMAR   9 years AGO

b= 100, m= 50, after increase b=125, m= 75
%increase 50/150*100 = 100/3= 33.33%
option (3) is correct

Like? Yes (1) | No (2)  

21 Dec 2015 Sequence

What is the next number of the following sequence.
19, 342, 1368, 21888, 350208, .....

OPtion

1) 5906868
2) 5906864
3) 6408288
4) 5868388
5) 5908478
6) 5603328
7) 5869254
8) 5608282
9) 5608888
10)5468868

Solution

19
(19*2)*9 = 342 Double the number(19) and multiply with last digit (9)
(342*2)*2 = 684*2 = 1368 ( ---)
(1368*2)*8 = 2736*8 = 21888 (--)
(21888*2)*8 = 43776*8 = 350208 (--)
Similarly
(350208*2)*8 = 700416*8 = 5603328

Option 6)

Correct Option: 6 Best Solution (16)

Siva   9 years AGO

the order followed as 19,
19*(9*2) =342,
342*(2*2)= 1368,
1368*(8*2)= 21888,
21888*(8*2)= 350208,
350208*(8*2)= 5603328.

Like? Yes (6) | No   

ABHINAV PUSHPAM   9 years AGO

Only option 6 is divisible by 19
Reason- 19*1=19
19*18= 342
342*4= 1368
1368*16 =21888
21888*16= 350208
350208*16= 5603328
Option 6)

Like? Yes (3) | No   

CHANDAN KUMAR   9 years AGO

19,342,1368,21888,350208,.....
let
1st no. = 19
2nd no. = 342
3rd no. = 1368
4th no. =21888
5th no. = 350208
6th no. = ? (let x, to be calculated )

now,
?divide 2nd no. by 1st no.
342/19 =18
?divide 3rdno. by 2nd no.
1368/342 =4
?divide 4th no. by 3rd no.
21888/1368 =16
?divide 5th no. by 4th no.
350208/21888 =16

?divide 6 th no. by 5th no.
x/350208 = ?

lets solve using given options.
put x = 5603328
it will be divisible by 350208
having remainder 0.

Rest of other options are divisible but they are having some remainder.

so correct option is
6)5603328

Like? Yes (3) | No   

MRITUNJAY   9 years AGO

19 342 1368 21888 18432

18. 72. 1152. 18432

4. 16. 16

next one is 350208*16=5603328

option 6

Like? Yes (2) | No   

NIKHIL JAIN   9 years AGO

19*1=19
19*1*18=342
19*1*18*4=1368
19*1*18*4*16=21888
19*1*18*4*16*16=350208
19*1*18*4*16*16*16=5603328

Like? Yes (2) | No   

DHAYYALA SREEKANTH REDDY   9 years AGO

19^2-(19*4^0)=342|
38^2-(19*4^1)=1368
152^2-(19*4^3)=21888
608^2-(19*4^5)=350208
2432^2-(19*4^7)=5603328

Like? Yes (2) | No   

sumit kumar   9 years AGO

some of digit of no is 1,9,18,27,18 so next no will be which one has sum of digit will be 27
i.e 5603328
option 6

Like? Yes (2) | No   

Saleel Kulkarni   9 years AGO

The relation between the two nos is twice the last digit of the first no is the multiplying factor.
Therefore in 19 the last digit is 9 so 19*(2*9)=342
342*(2*2)=1368
1368*(2*8)=21888
21888*(2*8)=350208
350208*(2*8)=5603328
Option 6

Like? Yes (2) | No   

Subi Surendran   9 years AGO

19*18=342
342*4=1368
1368*16=21888
21888*16=350208
350208*16=5603328

Like? Yes (2) | No   

potani manikumar   9 years AGO

initially all numbers are multiples of 19 and next series multiples of 18 ,next series we will get qube formate from this we can find next number

Like? Yes (1) | No   

HARMEET KAUR   9 years AGO

350208
last digit is 8.
8*2=16
350208*16= 5603328

Like? Yes (1) | No   

luciya   9 years AGO

The sequence is arranged in such a form that the next number is derived by multiplying the first number with its unit place*2.
e.g.:
19, 9*2=18
18*19=342

342, 2*2=4
4*342=1368

1368, 8*2=16
16*1368=21888

21888, 8*2=16
16*21888=350208

350208, 8*2=16
16*350208=5603328

Like? Yes (1) | No   

Anurag Bawankar   9 years AGO

it is the series of alternate numbers.i.e.there are two series. 1368×256=350208
21888×256=5603328

Like? Yes (1) | No   

Jamil Ahmed   9 years AGO

19
19*18=342
19*18*(4)^1=1368
19*18*(4)^3=21888
19*18*(4)^5=350208
19*18*(4)^7=5603328

Like? Yes (1) | No   

RAHUL AGARWAL   9 years AGO

19*2*9=342
342*2*2=1368
1368*2*8=21888
21888*2*8=350208
350208*2*8=5603328
PATTERN (2*LAST DIGIT OF PREVIOUS TERM TO GET NEXT TERM)

Like? Yes (1) | No   

Mainak Bhattacharjee   9 years AGO

19*18 = 342
19*18*4^1 = 1368
19*18*4^3 = 21888
19*18*4^5 = 350208
19*18*4^7 = 5603328

Like? Yes (1) | No   

18 Dec 2015 How many ways

In how many ways can a group of 5 boy and 2 girl be made out of a total of 7 boy and 3 girl?

OPtion

1) 63
2) 90
3) 126
4) 45
5) 10
6) 78
7) 96
8) 88
9) 136
10)None of these

Solution

Required number of ways
7C5 * 3C2 = 7C2 * 3C1 = 63

Option 1)

Correct Option: 1 Best Solution (4)

umend   9 years AGO

Number of ways of selecting 5 boys from 7 boys=7C5
Number of ways of selecting 2 girls from 3 girls=3C2
Number of selecting 5 boys and 2 girls out of 7 boys and 3 girls=7C5 * 3C2
=(7!/5!.2!)*(3!/2!.1!)=63
Option a)

Like? Yes (7) | No (2)  

NIKHIL JAIN   9 years AGO

We need to select 5 boy and 2 girl out of 7 boy and 3 girl.
number of ways to this = 7c5 * 3c2
= (7*6*3*2)/2*2
=63

Like? Yes (3) | No (1)  

MRITUNJAY   9 years AGO

7c5*3c2

21*3=63
option 1

Like? Yes (3) | No (1)  

PRABHAT KUMAR   9 years AGO

7c5*3c2
21*3
=63
Option 1

Like? Yes (2) | No (1)  

17 Dec 2015 Profit and loss

After dividing an amount into two parts, Ramesh invests these parts in two different business. In first, he gains 50% profit whereas in second he has a loss of 25 %.Total profit of Ramesh in first business is 1888 rupee. What is the total investment of Ramesh if he gains 23% profit over all.

OPtion

1. 5775
2. 6465
3. 5855
4. 6732
5. 6963
6. 5421
7. 5328
8. 5900
9. 5515
10.6712

Solution

(One variable solution)
Consider that 100 Rs is invested, then two parts are x & (100 - x)
Taking 50 % profit x becomes (3/2) x
& taking 25% loss (100 – x) becomes (3/4)(100 – x)
As total profit is 23 % hence
[(3/2)x +(3/4)(100 – x)] – 100 = 23
On solving x = 64
Profit = 64 * 50/100 = 32 in every 100 rupee
Overall profit in first business = 1888
Total investment = 100 * 1888 / 32 = 5900

Alternate method
Let total investment = P & part investments are x & (P – x)
According to given condition
x/2 = 1888 implies x = 3776
Similarly according to other condition
3x/2 +(3/4)(P – x) = P 123/100
=>3/2 * 3776 +(3/4)(P – 3776) = P 123/ 100
=>3 * 1888 + (3 /4) P – 3 * 944 = 123 P/100
=>5664 – 2832 = 123 P /100 – (3/4) P
=>2832 = (123 P – 75 P)/100
=>2832 = 48 P/100
=>P = 2832 * 100/ 48 = 5900.

Option 8)

Correct Option: 8 Best Solution (2)

PRABHAT KUMAR   9 years AGO

Investment in 1 business =1888*2=3776
(150*3776)/100+(y*75)/100=((3776+y)*123)/100
y=2124
Hence total investment =3776+2124=5900
Option 8

Like? Yes (5) | No   

SHUBHAM   9 years AGO

part of investment are 3776 and 2124
using profit percentage formula we get invest in business one as 3776 and hence can proceed further

Like? Yes (1) | No