M4maths Previous Puzzles

28 Jan 2015 Taxes

In Mac Donald following taxes are added on the price of purchased items.
1) Vat 12.5% of purchased items.
2) Service tax 4% of purchased items.
3) Edu. cess 2% of service tax.
4) Add. Ed. Cess 1% of service tax.
Diana went to Mac Donald with his daughter and they purchased some burger, Mc pizza & Coffee. Diana paid 932.96 rupee as bill. The cost of items without all taxes was

OPtion

1) 780
2) 790
3) 800
4) 810
5) 820
6) 830
7) 840
8) 850
9) 860
10)870

Solution

Let the cost 1 rupee
Total taxes = 12.5*1/100 + 4*1/100 + 4*(1/100)*(2/100) + 4*(1/100)*(1/100)
= .125 + .04 + .0008 + .0004
= 0.1664
So paid cost for 1 rupee is 1.1662 rupee
So real cost = 932.96 * 1/1.1662 = 800
Option 3)

Correct Option: 3 Best Solution (37)

Supriya Mondal   9 years AGO

Let,the cost of items without all taxes was Rs. x
From the question we can write,
[x+(12.5*x)/100+(4*x)/100+(8*x)/10000+(4*x)/10000]=932.96
Solving this equation we get x=800
So, option 3)800 is the right answer

Like? Yes (6) | No (1)  

Pankaj   9 years AGO

if price=100/-
Vat 12.5% of purchased items=12.5/-
Service tax 4% of purchased items=4/-
Edu. cess 2% of service tax=0.08
Add. Ed. Cess 1% of service tax=0.04

total bill=116.62/-

if price is 116.62/- is bill then cost=100/-
if " " 1/- " " " "=100/116.62
if " "932.96/- " " " "=(100/116.62)*932.96/-

=800/-

Like? Yes (4) | No   

MRITUNJAY KUMAR   9 years AGO

Options)3

Like? Yes (2) | No   

Rakshit Shetty   9 years AGO

let x be the cost without taxes
x + (12.5% of x) + (4% of x) + (2% of 4% of x) + (1% of 4% of x) = 932.96
10000x + 1650x + 12x = 9329600
11662x = 9329600
x=800
option 3

Like? Yes (2) | No   

Rats   9 years AGO

x+(12.5x/100)+(4x/100)+(8x/10000)+(4x/10000)=932.96
x=800

Like? Yes (2) | No (1)  

Sanu Panji   9 years AGO

932.96/(1+12.5/100+4/100+8/10000+4/10000)=800

Like? Yes (1) | No   

sivaramakrishna   9 years AGO

let purchased cost is p
then
p+(1/8)p+(1/25)p+(3/2500)p=932.96
p=800

Like? Yes (1) | No   

sompon temtheerakij   9 years AGO

The cost of items without all taxes = a
vat = 0.125a
Service tax = 0.04a
Edu. cess = 0.0008a
Add. Ed. Cess = 0.0004a
so, a+0.125a+0.04a+0.0008a+0.0004a = 932.96
1.1662a = 932.96
a = 800

Like? Yes (1) | No   

Pradyumna K S   9 years AGO

x+12%(x)+4%(x)+2%(4%)(x)+1%(4%)(x)=932.96
(10000+1250+400+8+4)x=9329600
(11662)x=9329600
x=9329600/11662=800
Therefore the answer is option 3

Like? Yes (2) | No (1)  

AISHA KHAN   9 years AGO

Let the total original purchased price be Rs x.
Then, [x+12.5x/100+4x/100+2/100*(4x/100)+1/100*(4x/100)]=932.96
x=800
Original price without tax=Rs 800

Like? Yes (1) | No   

ABHINAV PUSHPAM   9 years AGO

800 is right answer

Like? Yes (1) | No   

Ponni   9 years AGO

800*12.5/100= 100
800*4/100 = 32
32*2/100 = 0.64
32*1/100 = 0.32
cost price = 800
total = 932.96
so option 3). 800

Like? Yes (1) | No   

Deepak Kumar Sahu   9 years AGO

let x is the purchased price
vat is x*(12.5/100)
service tax x*(4/100)
edu cess x*(4/100)*(2/100)
add edu cess x*(4/100)*(1/100)
so if we add all it should give 932.96
so x is 800 by calculating

Like? Yes (1) | No   

Shafi   9 years AGO

Suppose the total amount of items she buy is=x
So,vat=0.125x
Service tax=0.04x
Edu.cess=0.0008x
Add.Ed.Cess=0.0004x
Hence the total amount we get is by adding all of the above,which we get=1.1662x.
Now equating it with amount she buy i.e. 932.96
we get x=800(Answer)

Like? Yes (1) | No   

harvinder   9 years AGO

let cost without tax is x

932.96 = x + 0.125x + .04x + .0.2*0.4*x + 0.1*0.4 *x

solving it ...we get
x =400

Like? Yes (1) | No   

khushboo goenka   9 years AGO

total tax is .1662x total cost=1.1662 x

Like? Yes (1) | No   

arush gupta   9 years AGO

ans 800 rs

Like? Yes (1) | No   

mohini gupta   9 years AGO

let actual amount be x.
then, 12.5x/100 + 4x/100 + 2/100*4x/100 +1/100*4x/100 + x =932.96

Like? Yes (1) | No   

Swathy Murugan   9 years AGO

12.5% of 800 =100
4% of 800=32
2% of 32=0.64
1% of 32=0.32
so 100+800+0.32+0.64+32=932.96

Like? Yes (1) | No   

Gitanjali K   9 years AGO

total tax=100+32+0.64+0.32
=132.9
so, cost of items=932.96-132.96=800

Like? Yes (1) | No   

Anshul Garg   9 years AGO

Let the cost of purchased items be x.

According to statement given

x + x(0.125 + 0.04 + 0.0008 + 0.0004) = 932.96

After Solving for x we get 800.

Like? Yes (1) | No   

Jitendra Kumar   9 years AGO

let cost be x$
vat=0.125x
stax=.04x
edu.cess=0.02(0.04x)
add.edu.cess=0.01(0.04x)
so
x+0.125x+0.04x+0.02(0.04x)+0.01(0.04x)=932.96
1.1662x=932.96
x=800

Like? Yes (1) | No   

guru   9 years AGO

Total Tax on the purchased item= 12.5%+4%+.08%+.04%=16.62%
So, for the cost price of 100 the amount to be paid=116.62
So actual cost price = 93296/116.62= 800

Like? Yes (1) | No   

RAKESH   9 years AGO

x + ( .125x +.04x + .04x*.02 + .04x*.01) = 932.96

=> x = 800

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MRITUNJAY   9 years AGO

let the purchase price be x
12.5%*x+4%*x+3%*4%*x=932.96
x=800

Like? Yes (1) | No   

Jaspalsingh Parmar   9 years AGO

800 is answer. Let x be actual cost of the purchased items. So, 12.5% of X+4% of X+2%of 4% of X+ 1% of 4% of X= 932.96. Find X= 800

Like? Yes (1) | No   

Preethi   9 years AGO

let p be the cost before taxes
p+3% of (4%of p)+16.5 % of p = 932.96

Like? Yes (1) | No   

Abhik Das   9 years AGO

Let the original price is=x
so according to the given condition
(x+5*x/40+x/25+x/1250+x/2500)=932.96
or, x=800

Like? Yes (1) | No   

mayank agarwal   9 years AGO

Let the price of items be x.

Then, vat = (12.5/100)*x
Service tax = (4/100)*x
Edu cess = (2/100)*(4x/100)
Add Ed Cess = (1/100)*(4x/100)

So, x+(12.5/100)*x+ (4/100)*x + (2/100)*(4x/100) + (1/100)*(4x/100) = 932.96

On Calculation, x = 800 Ans.

Like? Yes (1) | No   

A M ANKIT KALLURAYA   9 years AGO

800 is answer. Let x be actual cost of the purchased items. So, 12.5% of X+4% of X+2%of 4% of X+ 1% of 4% of X= 932.96.
=> X= 800

Like? Yes (1) | No   

CHANDAN KUMAR   9 years AGO

X(1+0.125+0.04+0.0008+0.0004)=932.96
X=932.96/1.1662
X=800

Like? Yes (1) | No   

vinay kumar   9 years AGO

let x be answer.. then
x + 12.5%of x + 4% of x + 2 % of ( 4%of x ) + 1% of ( 4% of x ) = 932.96
solving for x we get
x= 800

Like? Yes (1) | No   

ganesh babu   9 years AGO

X+12.5x/100+4x/100+(2+1)(4x/100)/100=932.96
(10000+1250+400+12)x=9329600
(11662)x=9329600
X=800

Like? Yes (1) | No   

Saurabh Kumar Gupta   9 years AGO

Let x be the cost of items without all taxes.
Then,
x + (12.5%)*x + (4%)*x + (2+1)%*((4%)*x) = 932.96
x{1 + 12.5% + 4% + 3*(0.04)%} = 932.96
x(1 + 0.125 + 0.04 + 0.0012) = 932.96
x(1.1662) = 932.96
x = 932.96/1.1662
x = 800

Like? Yes (1) | No   

Sourabh Prasad   9 years AGO

Let x be the price of item bought without any tax.

932.96 = x+ x*12.5/100 + x*4/100 + x*4/100(3)
solve for x
x=800

Like? Yes (1) | No   

Sandeep Kumar   9 years AGO

hit and trail.

Like? Yes (1) | No   

prakash kumar   9 years AGO

Let x be actual cost of the purchased items. So, 12.5% of X+4% of X+2%of 4% of X+ 1% of 4% of X= 932.96.
X= 800

Like? Yes (1) | No   

27 Jan 2015 Percentage

[40% of 40% of........... n times] of 40 < 1
minimum possible integral value of n will be

OPtion

1) 1
2) 2
3) 3
4) 4
5) 5
6) 6
7) 7
8) 8
9) 9
10)10

Solution

(.4)^n * 40 < 1
= (2/5)^n < 1/40
= 40 < (5/2)^n
= 40 < (2.5)^n
Since (2.5)^4 = 39.0625
so
n = 5

Option 5)

Correct Option: 5 Best Solution (42)

Anshul Garg   9 years AGO

According to the question
0.4^n * 40 < 1
0.4^n < 1/40
0.4^n < 0.025

it gives n equal to 5

Like? Yes (4) | No   

Jaspalsingh Parmar   9 years AGO

40*0.4=16
16*0.4=6.4
6.4*0.4=2.56
2.56*0.4=1.024
1.024*0.4=0.4096
so n= 5

Like? Yes (2) | No (1)  

apurva katyayni   9 years AGO

{(40/100)^n} * 40
now by putting the values of n=1,2,3........ we will find that for n=5 the value of {(40/100)^n}*40 is

Like? Yes (2) | No (1)  

RAKESH   9 years AGO

(.4)^n < .025 => n min = 5

Like? Yes (1) | No   

karishma   9 years AGO

since(.4)^5*40

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PREETI   9 years AGO

by checking different optins. option 5 satisfied it.

Like? Yes (2) | No (1)  

Pradyumna K S   9 years AGO

40%*40%....40%ⁿ times*40

Like? Yes (2) | No (1)  

sompon temtheerakij   9 years AGO

40*0.4 = 16
16*0.4 = 6.4
6.4*0.4 = 2.56
2.56*0.4 = 1.024
1.024*0.4 = 0.4096

Like? Yes (1) | No   

Paras Jain   9 years AGO

(0.4)^n < 0.025 =====> least possible integer is n = 5 Ans.

Like? Yes (1) | No   

Sayan Dey   9 years AGO

(40/100)^n*40 < 1
(4^(n+1)/10^(n-1) )< 1
4^(n+1) < 10^(n-1)

solving for n,
least value which satisfies the above equation is n=5.

Like? Yes (1) | No   

souraj sadhukhan   9 years AGO

ansr is 5

Like? Yes (1) | No   

Ponni   9 years AGO

40% of 40 is 16
40% of 16 is 6.4
40% of 6.4 is 2.56
40% of 2.56 is 1.024
40% of 1.024 is 0.4096 < 1
so,the answer is option 5). 5

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CHANDAN KUMAR   9 years AGO

(40/100)^n*40

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guru   9 years AGO

0.4^n times 40

Like? Yes (1) | No   

Rakshit Shetty   9 years AGO

[40% of 40% of........... 5 times] of 40=0.4096
0.4096

Like? Yes (1) | No   

Vibha   9 years AGO

(40% of 40%of........n times) of 40 < 1
(40/100)^n *40< 1
[(4)^n/(10)^n] *40

Like? Yes (1) | No   

ABHINAV PUSHPAM   9 years AGO

R

Like? Yes (1) | No   

MRITUNJAY   9 years AGO

40*0.4*0.4*0.4*o.4*0.4

Like? Yes (1) | No   

Saurabh Kumar Gupta   9 years AGO

40*(40/100)=16
40*(40/100)*(40/100)=64/10
40*(40/100)*(40/100)*(40/100)=256/100
40*(40/100)*(40/100)*(40/100)*(40/100)=1024/1000
40*(40/100)*(40/100)*(40/100)*(40/100)*(40/100)=4096/10000

so min value of n = 5

Like? Yes (1) | No   

Sheetal Machale   9 years AGO

40%40=16
16×0.4×0.4×0.4×0.4=

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sayantani jana   9 years AGO

when n=4
then (0.4)^4*40=1.024
when n=5
then (0.4)^5*40=0.4096

Like? Yes (1) | No   

Rahul   9 years AGO

40% of 40 = 16
40% 0f 16=6.4
40% of 6.4=2.56
40% of 2.56=1.024
40% of 1.024=0.4096

Like? Yes (1) | No   

mohini gupta   9 years AGO

16,6.4,2.56,1.24,.4096...5th time

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Gitanjali K   9 years AGO

for n1
for n=5 it gives value

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pravin   9 years AGO

40/100*40/100*40/100*40/100*40/100*40=.4096

Like? Yes (1) | No   

Ankit Pandey   9 years AGO

n=1; 40% of 40=16
n=2; 40% of 16=6.4
n=3; 40% of 6.4=2.56
n=4; 40% of 2.56=1.024
n=5; 40% of 1.024=0.4096

So n=5 to get the value of expression less than 1.

Like? Yes (1) | No   

Devendra Marghade   9 years AGO

40*(0.4)^n < 1
(0.4)^n < 1/40
condition satisfies for n=5

Like? Yes (1) | No   

kumar shishir   9 years AGO

0.4*0.4*0.4*0.4*0.4*40=0.496

Like? Yes (1) | No   

Piyush Ratnam   9 years AGO

1) 40*40%=16
2) 16*40%=6.4
3) 6.4*40%=2.56
4) 2.56*40%=1.024
5) 1.024*40%=0.4096

So, n=5.

Like? Yes (1) | No   

TUSHAR    9 years AGO

.4096

Like? Yes (1) | No   

Ankit   9 years AGO

On taking one 40% at a time it can be checked.

Like? Yes (1) | No   

b.subbarao   9 years AGO

40/100*40/100*40/100*40/100*40/100*40=0.4096
so n=5 is minimum possible value

Like? Yes (1) | No   

Ashwani Kumar   9 years AGO

(40^n/100^n)*404.78 approx

min value of n should be 5 Ans.

Like? Yes (1) | No   

arush gupta   9 years AGO

(40% of 40%......5times ) of 40=0.4 i.e less than 1 therefore 5 is the answer

Like? Yes (1) | No   

Abhishek singh   9 years AGO

.40*40=16
.40*16=6.4
.40*6.4=2.56
.40*2.56=1.024
.40*1.024=0.4096

Like? Yes (1) | No   

rakhi kumari   9 years AGO

40*(40^5)/(100^5)

Like? Yes (1) | No   

Abhik Das   9 years AGO

simply try up to 5 times it will give you the answer=0.4096 which is less than 1

Like? Yes (1) | No   

Supriya Mondal   9 years AGO

As,
0.4*0.4*0.4*0.4*0.4=0.01024
and,0.01024*40=0.4096
So, option 5)5 is the right answer

Like? Yes (1) | No   

anu sharma   9 years AGO

.4*.4*.4*.4=.0256

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manohar kumar singh   9 years AGO

1: 16 2: 6.4 3: 2.56 4:1.024 5: 0.4096

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mayank agarwal   9 years AGO

(40/100)*(40/100)*(40/100)*(40/100)*(40/100)*40 = .4096

So, n=5.

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Sanu Panji   9 years AGO

40*.4*.4*.4*.4*.4= .4096

Like? Yes (1) | No (1)  

26 Jan 2015 Number

Select the most appropriate number for today.

OPtion

1) 00123568
2) 00113458
3) 00013445
4) 01112234
5) 01456679
6) 00112256
7) 01122359
8) 01234458
9) 01112366
10)01233446

Solution

Today is 26/01/2015
and arrangement of these digits in order will be 00112256

Option 6)

Correct Option: 6 Best Solution (32)

RAKESH   9 years AGO

26/01/2015

arranging in ascending order we get --------------- 00112256

Like? Yes (10) | No   

Rahul   9 years AGO

00112256 by jumbling the numbers we can form the date of today.
26-01-2015

Like? Yes (2) | No   

Vinay Sipani    9 years AGO

Today's date is 26/01/2015

Only option 6 can be rescrabbled to today's date

Like? Yes (1) | No   

Jaspalsingh Parmar   9 years AGO

Its todays date simple
26012015
Given as 00112256

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ABHINAV PUSHPAM   9 years AGO

26-01-2015
2 times 2, 1 2 times, 0 2 times and 6 & 5 1 times

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MRITUNJAY   9 years AGO

26-01-2015

00112256

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khushboo goenka   9 years AGO

today is 26/01/2015

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apurva katyayni   9 years AGO

option 6 is appropriate

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Sourabh Prasad   9 years AGO

Today's Date is 26- 01- 2015

Arrangind these numbers in ascending order, we get

00112256

Like? Yes (1) | No   

saurabh singh   9 years AGO

because this number include all the digit of 26/01/2015

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Rahul Jain   9 years AGO

beacause on rearrange these number it makes today's date i.e. 26/01/2015... happy republic day guys

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Avani Patoria   9 years AGO

Today is 26-01-2015 and by rearranging the digits 00112256 we'll get this date.

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Saurabh Kumar Gupta   9 years AGO

00112256
0+0+1+1+2+2+5+6=17
Todays date is 26-01-2015
2+6+0+1+2+0+1+5=17

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llamar   9 years AGO

26/01/2015
00112256

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arush gupta   9 years AGO

as 00112256 can be arrange as 26012015 or 26/01/2015

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sai   9 years AGO

today date 01262015
option is 00112256
2 0's
2 1's
2 2's
1 5
1 6

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pravallika   9 years AGO

today's date

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b.subbarao   9 years AGO

ascending order of digits for today is (26-01-2015) 0112256


option 6 is correct answer

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Abhishek    9 years AGO

NO reason select randomaly

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guru   9 years AGO

Today is 26/01/2015
There are two 0's, two 1's, two 2's and then a 5 and a 6.
Arranging these in ascending order we get 00112256

Like? Yes (1) | No   

Pradyumna K S   9 years AGO

today's date is 26-01-2015
arrange the numbers in the date in their increasing order to get the appropriate number of today that is 00112256
therefore the answer is option 6

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BHASKAR MANDAL   9 years AGO

26/01/2015
so option 6

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LOKESH MATHUR   9 years AGO

It contains all the numbers included in today's date, though not in the same order. 26 01 2015

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mayank agarwal   9 years AGO

Because it is the only number which contains all the digits of today's dat i.e. 26-01-2015.

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Rahul Rathod   9 years AGO

by rearranging digits of 00112256 we get 26/01/2015

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Pramod Gaikwad   9 years AGO

after rearranging the digit 00112256
we get 26/01/2015,
so option is 6) 00112256

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Ankit Sirohi   9 years AGO

the number 00112256 if rearranged appears as 26 01 2015 which is todays date. thus option 6 is the answer.

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chetan    9 years AGO

date is 26-1-2015 and all the numbers are present in 6 part

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Paras Jain   9 years AGO

today date is 26-01-2015 i.e. 26012015 only option (6) has all these digits..

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Sanu Panji   9 years AGO

26/01/2015

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raja krishna maurya   9 years AGO

consider this


26-01-2015

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Md.Sultan Khichi   9 years AGO

00112256=26012015
26/01/2015 is today's date.
Ans ob.6

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23 Jan 2015 Possibilities

The sum of x% of y and y% of z is z% of x. x and z are integers such that 1 =< x =< 9, 1 =< z =< 9. If y is a perfect square number then how many ordered pair (x, z) are possible satisfying the given condition.

OPtion

1) 1
2) 2
3) 3
4) 4
5) 5
6) 6
7) 7
8) 7
9) 9
10)0

Solution

xy/100 + yz/100 = zx/100
y = xz/(x+z)
If either x or z is one then no possible case because n/(n+1) will never a perfect square.
For x=2 and z=2, y=1 (Perfect square)
Similarly for x=8 and z=8, y=4 (Perfect square)
For x=3 and z=9, sum=12
so y = 3*9/12 = 9/4 (Perfect square)
so (3,9) and (9,3) are possible pair
So total possible pairs are (2,2), (8,8), (3,9) and (2,3)
Option 4)

Correct Option: 4 Best Solution (2)

Anshul Garg   9 years AGO

The possible solutions are (2,2) , (3,9), (9,3), (8,8).

Like? Yes (9) | No   

apurva katyayni   9 years AGO

(2,2), (3,9),(8,8),(9,3)

Like? Yes (4) | No (1)  

22 Jan 2015 Six digit number

A six digit number has the maximum number of possibilities of perfect square as given below
1) First digit is a perfect square
2) Second digit is a perfect square
3) Third digit is a perfect square
4) Number formed by first and second digit in order is perfect square.
5) Number formed by third and fourth digit in order is a perfect square.
6) Number formed by fifth and sixth digit in order is a perfect square.
7) Number formed by last 3 digit in order is a perfect square.
Here sixth digit means the units place.
All the digits in the number are different and non-zero.
The product of all the six digit will be

OPtion

1) 720
2) 5040
3) 20160
4) 1080
5) 1344
6) 4032
7) 1890
8) 3360
9) 2160
10)3780

Solution

Perfect square single digits are 1, 4, 9
Two digit no by using 1, 4, 9 is only 49
So first three no will be 491 now third and fourth digit number is perfect square so it will be 16 and last two digit set will only be 25 because no integer can be revised so no is 491625

Correct Option: 9 Best Solution (52)

Mahesh   9 years AGO

The only possible single digit numbers which are squares are
1, 4, 9
The first three digits should be from these three only
But the number formed by first two digits should be a perfect square
First two digits should be 49
Third digit should be 1
Third and fourth digits should be a perfect square
The only square starting with 1 is 16
Fourth digit is 6
First four digits are 4916
Last three digits form a perfect square
The only squares in six hundreds are 625 and 676
But 7 or 6 cannot be used again
Last three digits are 625
The whole number is 491625
Product of the digits is 2160

491625 is the number
2160 is the answer
Option (9) is the answer

Like? Yes (4) | No (1)  

Swathy Murugan   9 years AGO

1 digit possible perfect square is 1,9,4
first two digit possible square from the above combination is 49(7^2)
then third digit is perfect square so it should be 1
third and fourth digit is perfect square so the fourth digit must be 6
last two digit is perfect square so we can place 25
last 3 digit is perfect square so it is 625
Thus the 6 digit number is 491625
the product of this is 2160

Like? Yes (3) | No   

Ankit Pandey   9 years AGO

First digit=4
Second digit=9
third digit=1
fourth digit=6
fifth digit=2
sixth digit=5
Hence,
Six digit no. is = 491625 which fulfill all the conditions
and hence the product of all digits = 4*9*1*6*2*5=2160

Like? Yes (3) | No   

Ankit   9 years AGO

The number will be 491625 as according to the given Condition so the product of the digits will be 2160.

Like? Yes (3) | No   

ganesh babu   9 years AGO

The number is 491625
4x9x1x6x2x5=2160

Like? Yes (4) | No (1)  

pradeep   9 years AGO

first two digits-49
3 rd and 4 th are-16
5 th and 6th -25

Like? Yes (3) | No   

apurva katyayni   9 years AGO

six digit no. will be 491625

Like? Yes (3) | No   

b.subbarao   9 years AGO

There are 3 digits which are perfect squares. those are 1,4,9. so first 3 digits of number is formed by using these three. but another condition is number formed with first and second digits should be perfect square so first digits of number is 491.
next condition number formed with third and fourth digit should be perfect square so suitable digit is 6 in fourth place.
first four digits of number is 4916.
number formed with fifth and sixth digits is 25.
finally 6 digits number is 491625.
product of digits is 2160.

Like? Yes (3) | No   

MD SOHAIL AKHTER   9 years AGO

no. is 491625

Like? Yes (3) | No (1)  

Sravanthi   9 years AGO

491625 is number
product is 2160

Like? Yes (3) | No (1)  

Supriya Mondal   9 years AGO

From the given condition we get that,
The number will be 491625
i)4 is a perfect square
ii)9 is a perfect square
iii)1 is a perfect square
iv)49 is a perfect square
v)16 is a perfect square
vi)25 is a perfect square
vii)625 is a perfect square
All the digits in the number are different and non-zero.
Here, all the 8 conditions are satisfied
So the number is 491625.
Products of all its digit is=4*9*1*6*2*5=2160
so, option 9)2160 is the right answer

Like? Yes (2) | No   

llamar   9 years AGO

simply the numbers are
in order 4,9,1,6,2,5

Like? Yes (2) | No   

Satya B   9 years AGO

the six digit number is 491625

Like? Yes (2) | No   

anup   9 years AGO

491625 .....

Like? Yes (2) | No   

MRITUNJAY KUMAR   9 years AGO

Options9)

Like? Yes (2) | No   

Niraj Agarwal   9 years AGO

The number formed is: 491625

Like? Yes (2) | No   

pravallika nathi   9 years AGO

six digit number is 491625 peoduct of digits gives 2160

Like? Yes (2) | No   

Abhik Das   9 years AGO

According to the given condition
1st,2nd,3rd digit should be either 4/9/1
as number formed by 1st and 2nd no is perfect square so it should be 49
Then number formed by 3rd & 4th digit is also perfect square so it should be 16
and the number formed by the 4th,5th and 6th digit is also perfect square and the number formed by 5th and 6th digit is also perfect square so the three digit number would be 625.
The number is=491625
and the product is=(4*9*1*6*2*5)=2160

Like? Yes (2) | No   

Anshul Garg   9 years AGO

According to 5h and 6th Statement 625 is three digit number which is a perfect square and 25 is a perfect square.

According to 4th statement 3rd digit is 1 (Because it follows statement 3 also).

According to 1, 2 and 4 statement 49 is the number at First Two digits.

Hence, the product of 6 digits is 4*9*1*6*2*5 = 2160

Like? Yes (2) | No   

nithin kumar   9 years AGO

all possible first 3 digits are 1,4,9 (only these digits are perfect square)

first & second digits must be 4,9 respectively ( 49 is perfect square)

third & fourth digits must be 1,6 resp. (16 is pefect square)

fifth & sixth digith should be 2,5 (as there is no other combination from the rest digits which are making a perfect square)

so the six digits are : 491625
(as last three digits is also a pefect square of 25 )

Like? Yes (2) | No   

Meenakshi   9 years AGO

The number is 491625
first digit is perfect square=4
second digit is perfect square=9
third digit is perfect square=1
number formed by 1st and 2nd in order is a perfect square=49=7^2
number formed by 3rd and 4th in order is a perfect square=16=4^2
number formed by 5th and 6th in order is a perfect square=25=5^2
number formed by last 3 digits in order is a perfect square=625=25^2

So,the product of all six digits is:4*9*1*6*2*5=2160

Like? Yes (2) | No   

RAUNAK   9 years AGO

1st 2 dgits should be 49(both individually are perfect squares and if combined a perfect square too..)
3rd digit possible 1...(a perfect square)
3rd and 4th if combined we have only option i.e.16
last 3 digits ...since all digits are diffenrent and non-zero alsoand 4th one is 6 hence it should be 625...
Thus no is 491625..and hence product is 2160

Like? Yes (2) | No   

A M ANKIT KALLURAYA   9 years AGO

number formed is 491625
ans=4*9*1*6*2*5=2160

Like? Yes (2) | No   

Gourab Dutta   9 years AGO

First digit 4, 2nd 9, 3rd 1 4th 6,5th 2,6th 5...so the product is 2160..

Like? Yes (2) | No   

SREENIVASA RAO PALLAPU   9 years AGO

first 3 digits are a perfect squares individually => 1 or 4 or 9
number formed by first and second digit is a perfect square
=> only 2 digit perfect square possible with above three is 49 => first 3 digits are 491
number formed by 3 and 4th also perfect square =>16
and last three digit num also a perfect square =>6_ _ is a perfect square. only choices are 625 and 676
so last condition all digits are different =>491625
sum of digits = 2160

Like? Yes (2) | No   

Revathi   9 years AGO

6 digit perfect square is 491625.
product of above 6 digits is 2160

Like? Yes (2) | No   

Rahul   9 years AGO

here , the first digit is a perfect square therefore it can be either 1 , 4, 9.
the second digit is also a perfect square therefore it may be either 1 , 4 , 9.
but it is said that the first and second digit's number is also a perfect square therefore the 4 and 9 will be the first and second digits.
by this way if we examine the no. will be 4,9,1,6,2,5
4*9*1*6*2*5 = 2160.

Like? Yes (2) | No   

Shubham Banerjee   9 years AGO

the number is 491625 => 4*9*1*6*2*5 = 2160

1) First digit is a perfect square : 4 = 2*2
2) Second digit is a perfect square : 9 = 3*3
3) Third digit is a perfect square : 1 = 1*1
4) Number formed by first and second digit in order is perfect square : 49 = 7*7
5) Number formed by third and fourth digit in order is a perfect square : 16 = 4*4
6) Number formed by fifth and sixth digit in order is a perfect square : 25 = 5*5
7) Number formed by last 3 digit in order is a perfect square : 625 = 25*25
8) All the digits in the number are different and non-zero : 4, 9 , 1, 6, 2, 5 != 0

Like? Yes (2) | No   

abhishek pndey   9 years AGO

491625

Like? Yes (2) | No   

MRITUNJAY   9 years AGO

digits of six digit number=491625

Like? Yes (2) | No   

ABHINAV PUSHPAM   9 years AGO

The required number is 491625. So the product is 2160

Like? Yes (2) | No   

Saurabh Kumar Gupta   9 years AGO

The required number will be 491625.
So 4*9*1*6*2*5= 2160

Like? Yes (2) | No   

Jaspalsingh Parmar   9 years AGO

No is 491625
So option 9 is correct

Like? Yes (2) | No   

Ankit Sirohi   9 years AGO

The number thta satisfies all the conditions is,
491625... i.e 49 16 25 set of squares...the product of digits is 2160...hence answer option 9.

Like? Yes (2) | No   

RAMAKRISHNA   9 years AGO

the number formed by following the points givrn is 491625
product of all the digits gives 2160

Like? Yes (2) | No   

Vamsi Srikanth   9 years AGO

The 6 digit number is 491625. By multiplying all the digits, we'll get 2160

Like? Yes (2) | No   

guru   9 years AGO

The number according to the given conditions is 491625 and the product of the digits is 2160

Like? Yes (2) | No   

TUSHAR    9 years AGO

2160

Like? Yes (2) | No   

g lokesh   9 years AGO

The number is 491625
first three numbers must be 1,4,9
1st and 2nd must be perfect square is 49
3rd and 4th must be 16 and so on.........

Like? Yes (1) | No   

Ajinkya Kulkarni   9 years AGO

491625

Like? Yes (2) | No (1)  

Dr.Dipin Singh   9 years AGO

4*9*1*6*2*5=2160

Like? Yes (2) | No (1)  

SAYAN CHATTERJEE   9 years AGO

the 1st digit , 2nd digit is square and in order they are square so it must be 49
the 3rd is square, and 3rd, 4th in order is square, so this should be 16
the 5th,6 th in order is square as well as 4th, 5th, 6th in order is square, so it is 25
now the no. becomes 491625
so the product of the digits is 2160.

Like? Yes (1) | No   

RAKESH   9 years AGO

no. is 491625

so, product = 2160

Like? Yes (2) | No (1)  

Devendra Marghade   9 years AGO

The number is 491625
So product of all the digits=4*9*1*6*2*5=2160

Like? Yes (2) | No (1)  

sravani   9 years AGO

number is 4 9 1 6 2 5
product is 2160...

Like? Yes (2) | No (1)  

sompon temtheerakij   9 years AGO

A six digit number is 491625.
the product of all the six digit = 4*9*1*6*2*5 = 2160

Like? Yes (1) | No   

Ponni   9 years AGO

The six digit number is 491625
product of 491625=2160 = option 9

Like? Yes (1) | No   

satyam sharma   9 years AGO

the no is 491625
4*9*1*6*2*5=2160

Like? Yes (1) | No   

Paras Jain   9 years AGO

Number is 491625 so product = 2160 Ans.

Like? Yes (1) | No   

manasa   9 years AGO

4*9*1*6*2*5=2160
here 4,6,1 are perfect squares....frst and second number in order 49,third and fourth number in order 16 are also perfect squares.. and last three numbers in order 625 is also a perfect square..

Like? Yes (1) | No   

mayank agarwal   9 years AGO

First place can have only three possible values namely 1, 4 or 9. But 1 and 9 are rejected because if we put them in first place, we will not have any number which is a perfect square and make a perfect square of 1st and 2nd when taken in order. So 1st place can only contains 4.

Now, second place can only contain 9 as only 49 is a perfect square according to rule (4).

Now, 3rd place can only be 1 because according to rule (3), it must be perfect square and all digits must be different, so only 1 is remaining as perfect square. so, third digit will be 1.

4th digit will be 6 as according to rule (4), number formed by 3rd & 4th digit taken in order must be a perfect square and 16 is only perfect square starting with 1.

Now, only 2 & 5 can be 5th & 6th digit respectively which fulfill rule (6) & (7).

So, the number formed is 491625.
And the product of all digits is 2160 (Option 9) Answer.

Thank You

Like? Yes (1) | No   

Mithun Kumar Kesari   9 years AGO

2160

Like? Yes (1) | No   

21 Jan 2015 Percentage

A business man invested 45% of the sum in dry fruit business, 35% of the sum in gift item business and 20% of the sum in fruit business. In a year he received a profit of 1 million rupee in dry fruit business and fruit business both. In gift item business he got a percentage profit equal to the sum of profit percentage in dry fruit and fruit businesses. His profit in gift item business (in million rupee) was

OPtion

1) 2.17
2) 2.32
3) 2.39
4) 2.43
5) 2.49
6) 2.53
7) 2.58
8) 2.69
9) 2.72
10)2.77

Solution

Let total investment = A (million rupee)
investment in dry fruit business = .45 A
so % profit = 1(100)/(.45*A)
similarly in fruit business
% profit = 1*(100)/ (0.20A)
Net % profit = 100/(0.45A) + 100/(0.20A)
So profit in gift item business
= [100/(0.45A) + 100/(.020A)]*(.35A/100)
= .35(1/.45 + 1/.20)
= (.35*.65)/(.45*.20)
= 35*65/45*20 = 2.53
Option 6)

Correct Option: 6 Best Solution (14)

Mahesh   9 years AGO

As the investments have no role in finding the final profit, assume the total investment as 10 lmillion
Investment in dry fruits = 4.5 million
Investment in gifts = 3.5 million
Investment in fruits = 2 million

Profit in dry fruits = 1 million
Profit % = 22.22

Profit in fruits = 1 million
Profit percentage = 50

Profit % in gifts = 22.22 + 50 = 72.22
Investment in gifts = 3.5 million
Profit = 72.22 * 3.5/100 = 2.53 million

Like? Yes (5) | No   

Abhik Das   9 years AGO

Let the total sum=100
simple 1st calculate the profit % for both dry fruit & fruit business.
for dry fruit profit %=(2.22 million)
for fruit profit %=(5 million)
then add the two percentage=(7.22 millon)%
So for gift business the profit is=(7.22*0.35)=2.537 million
So approx 2.53 million

Like? Yes (3) | No   

Swathy Murugan   9 years AGO

Dry fruits investment is 45% and fruits investment is 20%
if it is so then they get profit according to the investment
and it is given that gift profit =profit of dry fruit + profit of fruits
so 65/100x=1million
and we get 1.53 +1 million =2.53

Like? Yes (2) | No   

Ajinkya Kulkarni   9 years AGO

2.527 million rupees

Like? Yes (2) | No   

SREENIVASA RAO PALLAPU   9 years AGO

let the invest total investment is 'y' and profit in gift item business is 'x'
then
x/(.35y) = (1 million/0.45y) + (1 million / 0.2y)
=>x=2.5277 million =2.53 millon (approx)

Like? Yes (2) | No   

rakhi kumari   9 years AGO

let x million be the total sum
dry fruit:x*45/100 its profit%:10^4/45*x
gift:x*35/100 hence its profit %:((10^4)*13)/180*x
fruit:x*20/100 its profit:10^4/20*x
after calculation :(x*35/100)*((10^4)*13)/180*x/100

Like? Yes (2) | No   

Anshul Garg   9 years AGO

profit in gift items = (100/45 + 100/20)*0.35

Like? Yes (2) | No   

Ashu Tomar   9 years AGO

The profit percentage in fruits business is 50%
The profit percentage in dry fruit business is 22.22%
So,the profit percentage in gifts business is 72.22%
So, the total profit in gifts business is 2.53 million

Like? Yes (2) | No   

Sanu Panji   9 years AGO

say profit in gift item business = x million
then
x/35= 1/20+1/45
x=2.53

Like? Yes (2) | No   

sompon temtheerakij   9 years AGO

=1/0.45 + 1/0.20
= 7.22
=7.22*0.35 = 2.53

Like? Yes (1) | No   

arush gupta   9 years AGO

ans 2.5277

Like? Yes (1) | No   

Niraj Agarwal   9 years AGO

Let Sum = x ;
then Cost price (CP) for Dry fruits = 9x/20
for gift items = 7x/20
for fruits = x/5

Profit for both dry fruits and fruits business = 10^6 rupees
Let profit for gift items = p

Also,
Percentage profit for gift items = percentage profit for dry fruits + percentage profit for fruits;
Thus, we have the expression
20p/7x = 10^6 ( 20/9x + 5/x) ;

On cancelling out x from the whole expression and solving for p;
we get p = 2.527 million = 2.53 million

Like? Yes (1) | No   

Paras Jain   9 years AGO

I did it... 2.53 Ans.

Like? Yes (1) | No   

Jaspalsingh Parmar   9 years AGO

6 is correct

Like? Yes (1) | No   

20 Jan 2015 Radius of semicircular path

A man travels 10 meter towards east from point A to point B, then he turns left for 10 m from point B to point C. From point C it starts to move in a semicircle CXD. CD is perpendicular to BC and D is towards east relative to C. If his distance at D from initial point
A is 50 m, then radius of semicircle path will be

OPtion

1) 5*Sqrt(3) - 5
2) 20*Sqrt(6) - 10
3) 10*Sqrt(6) - 5
4) 5*Sqrt(6) - 10
5) 20*Sqrt(6) - 20
6) 40
7) 20
8) 5*Sqrt(6) - 5
9) 10*Sqrt(3) - 10
10)10*

Solution

According to given condition
Net distance of man along east = 10 + 2R
Net distance of man along north = 10
So
10^2 + (10+2R)^2 = 50^2
10 + 2R = Sqrt(2400)
2R = 10*Sqrt(24) - 10
R = 5*Sqrt(24) - 5
R = 10*Sqrt(6) - 5

Option 3)

Correct Option: 3 Best Solution (27)

Supriya Mondal   9 years AGO

Let the radius is x m
Then we can write,
10*10+(10+2x)*(10+2x)=50*50
So, 10+2x=sqrt(50*50-10*10)
Then,2x=sqrt(2400)-10
Then, x=sqrt(600)-5
Then, x=10*sqrt(6)-5
So option 3) 10*sqrt(6)-5 is the right answer

Like? Yes (3) | No   

NARESH AVIRENU   9 years AGO

from given data

AB=10 mt
BC=10 mt
AD=50 mt

(50)^2 = (10)^2 + (10+y)^2

2500 = 100+(10+y)^2
=> y = 20*Sqrt(6) - 10

radius of the semi circle =y/2
so,
= (20*Sqrt(6) - 10)/2

radius of semi circle is = 10*Sqrt(6) - 5.

=

Like? Yes (3) | No   

Yekollu Muneeswar   9 years AGO

sketch diagram from there you will get,
50^2= 10^2+x^2 ==> x=sqrt(2400)

radius=(x-10)/2
==> 10sqrt(6)-5

ans 3)

Like? Yes (2) | No   

Mahesh   9 years AGO

The distance between the starting point and ending point is given as 50
The vertical distance is 10
horizantal distance can be obtained by applying pythagoras theoram
It will be 50^2 - 10^2 under root
So, it will be root 2400
Now horizantal distance is 10 + diameter of the circle
so diammeter of the circle is root 2400 -10 = 20 root 6 - 10
Radius of circle is 10 root 6 - 5

Like? Yes (1) | No   

RAKESH   9 years AGO

(10+x)^2 + 10^2 = 50^2
=> x = (20*sqrt6 - 10)

radius = x/2 = 10*Sqrt(6) - 5

Like? Yes (1) | No   

Nupur   9 years AGO

On making the pictoral diagram we realize that the mathematical equation obtained is:
Taking diameter = x
50^2 = 10^2 + (10-x)^2

Solving we get x = -10+ 20*sqrt(6)

Hence radius = x/2

Like? Yes (1) | No   

ABHINAV PUSHPAM   9 years AGO

50^2 = 10^2+(10+x)^2
after solving
x= - 10(1-2sqrt(6))
radius of semi circular path is r=x=2
10sqrt(6)- 5
option 3). is correct

Like? Yes (1) | No   

MRITUNJAY   9 years AGO

50^2 = 10^2+(10+x)^2
after solving
x= - 10(1-2sqrt(6))
radius of semi circular path is r=x=2
10sqrt(6)- 5
option 3.

Like? Yes (1) | No   

MRITUNJAY KUMAR   9 years AGO

Option)3

Like? Yes (1) | No   

Sravanthi   9 years AGO

radius is CD/2.

Like? Yes (1) | No   

khushboo goenka   9 years AGO

(10+2r)^2 +10^2=50^2

Like? Yes (1) | No   

Anshul Garg   9 years AGO

According to the question,
if we draw the sketch and find the relationship,
we have
(x+10)^2 + 10^2 = 50^2 (x is the diameter of the semicircle.) (And this relationship came from pythagoras theorem)

After Solving the equation, we have x^2 + 20x - 2300 = 0
It gives
x = (-20 + 40*sqrt(6))/2
and (-20 - 40*sqrt(6))/2
But we will neglect second option (because length can't be negative)
So , x = -10 + 20*sqrt(6)
And the radius of semicircle would be =
x/2 => 10*sqrt(6) - 5

Like? Yes (1) | No   

arush gupta   9 years AGO

ans (20sqrt(6)-10)/2=10sqrt(6)-5

Like? Yes (1) | No   

apurva katyayni   9 years AGO

10^2 + (10+x)^2 = 50^2
(10 +x)^2 = 2400
10+x = 20*sqrt6
x=20sqrt6 -10
radius = x/2= optin 3

Like? Yes (1) | No   

Swathy Murugan   9 years AGO

circumference of semicircle=pi*d
total distance=50
where 20m is straight line and 30 m forms the circumference of semicircle
30=pi*d (d=r/2)
solving this we get 19.10 approximately so the suitable option in the given choice is 3

Like? Yes (1) | No   

mithilesh kumar   9 years AGO

10*SQRT(6)-10

Like? Yes (1) | No   

abhilasha   9 years AGO

this is the correct ans. pi * r = 30

Like? Yes (1) | No   

Jigyasa Kumar   9 years AGO

pi*r = 30
so this is the answer..

Like? Yes (1) | No   

shreyansh pandey   9 years AGO

extend CD to a point E towards west relative to C where CE = 10 m than it forms an right angle triangle AED where
AE = 10m
AD = 50m
thus radius = 1/2 *(sqrt(50^2 - 10^2)-10)
= 10sqrt(6)-5

Like? Yes (1) | No   

Akshat Mokashi   9 years AGO

This is the right answer

Like? Yes (1) | No   

A M ANKIT KALLURAYA   9 years AGO

the sum of square of twice the radius of semicircle and AB with the sum of square of BC equates to AD square distance...
we get r=-5+10sqrt6

Like? Yes (1) | No   

Niraj Agarwal   9 years AGO

Extend line AB and Draw a straight line from D onto the extended AB and name the end point as E.

Now, taking the triangle AED into consideration we can conclude that,

Sin (theta) = 10/50 = 1/5
Hence, cos (theta) = sqrt(24)/5 = 2*sqrt(6) / 5 -------- (1)

Also, from the triangle we have
cos (theta) = (10 + 2r) / 50 --------- (2)

Equating (1) and (2), we get
r = 10 * sqrt(6) - 5

Like? Yes (1) | No   

Mohd Belal   9 years AGO

Here i have considered the displacement of D from point A.
But instead it was mentioned as the distance.. keeping the distance as 50 will result the answer as 30/3.14 , but it was nit present in the options.
So rather the displacement concept of point D from A was 50 is to be taken and answer is option 3.

Like? Yes (1) | No   

sayantani jana   9 years AGO

50^2=x^2+10^2
x=20*sqrt(6)
then
radius=(20sqrt(6)-10)/2

Like? Yes (1) | No   

Ajinkya Kulkarni   9 years AGO

X^2+20x-2300=0

Like? Yes (1) | No (1)  

P ANAND   9 years AGO

i did it

Like? Yes (1) | No (2)  

Surit Datta   9 years AGO

Option 3 is the answer.
That's it.

Like? Yes (1) | No (2)  

19 Jan 2015 Sequence

What is the next number of the following sequence
1.414, 1.732, 2.236, 2.646, 3.317, .....

OPtion

1) 3.464
2) 3.742
3) 3.873
4) 3.606
5) 4.123
6) 4.234
7) 4.359
8) 4.472
9) 4.583
10)4.690

Solution

1.414 = Sqrt(2)
1.732 = Sqrt(3)
2.236 = Sqrt(5)
2.646 = Sqrt(7)
3.317 = Sqrt(11)
So next prime number is 13 and its root is
3.606

Option 4)

Correct Option: 4 Best Solution (75)

Supriya Mondal   9 years AGO

1st number is=1.414=sqrt(2)
2nd number is=1.732=sqrt(3)
3rd number is=2.236=sqrt(5)
4th number is=2.646=sqrt(7)
5th number is=3.317=sqrt(11)
All sqrt numbers are prime number starting from 2
So, next number will be=sqrt(13)=3.60555
So, option 4)3.606 is the right answer

Like? Yes (3) | No (1)  

Surit Datta   9 years AGO

Here the series is the root of All prime numbers
starting from 2 onwards.
So 2,3,5,7,11,13....
So the next number will be sqrt(13)
which is 3.606
So option 4
That's it.

Like? Yes (2) | No   

Rats   9 years AGO

sqrt(2)=1.414
sqrt(3)=1.732
sqrt(5)=2.236
sqrt(7)=2.646
sqrt(11)=3.317
2,3,5,7,11 this is sequence of prime number
So the next term is 13. Therefore,
sqrt(13)=3.606

Like? Yes (2) | No   

MADDU.SAI LAKSHMI NAVYA   9 years AGO

The given series is the roots of prime numbers
2^(1/2),3^(1/2),5^(1/2),7^(1/2) ............
so the answer is 13^(1/2)=3.606

Like? Yes (2) | No   

Rahul Rathod   9 years AGO

series of square roots of prime numbers.
2,3,5,7,11,13
so answer is sqaureroo(13)=3.606

Like? Yes (2) | No   

Prakash Singh   9 years AGO

square root of consecutive prime numbers...

Like? Yes (1) | No   

RAKESH   9 years AGO

sq root of prime numbers

so, sqrt(13) = 3.606

Like? Yes (1) | No   

Vinay Sipani    9 years AGO

Square root of prime numbers i.e.
Sqrt(2) , sqrt(3) , sqrt(5) , ...

=> Next term = sqrt(13) = 3.606

Like? Yes (1) | No   

Rakshit Shetty   9 years AGO

sqrt of 2, 3, 5, 7, 11, ....
next sqrt of 13=3.606
option 4

Like? Yes (1) | No   

BHASKAR MANDAL   9 years AGO

root 13

Like? Yes (1) | No   

Sarabeshwar   9 years AGO

Concept is to write square root of numbers without producing rounded values....

square root (2) = 1.414
square root (3) = 1.732
skip square root (4) as it gives rounded value("2")
square root (5) = 2.236
.
.
.
square root (13) =3.606

That would be answer...

Like? Yes (1) | No   

Meenakshi   9 years AGO

The given series is a square root of consecutive prime numbers
2,3,5,7,11,13..
Square root of 2=1.414
Square root of 3=1.732
Square root of 5=2.236
Square root of 7=2.646
Square root of 11=3.317
Square root of 13=3.606

so,answer is 3.606

Like? Yes (1) | No   

Sundar Kumar   9 years AGO

2^1/2=1.414
3^1/2=1.732
5^1/2=2.236
7^1/2=2.646
11^1/2=3.317
13^1/2=3.606
Note: 2,3,5,7,11,13 are prime numbers
Answer: 4)3.606

Like? Yes (1) | No   

SREENIVASA RAO PALLAPU   9 years AGO

Given sequence is 1.414, 1.732, 2.236, 2.646, 3.317,......
we have prime numbers 2,3,5,7,11,13,....
sqrt(2) = 1.414, sqrt(3) = 1.732, sqrt(5) = 2.236, sqrt(7) = 2.646, sqrt(11) = 3.317, and sqrt(13) = 3.606, ......
ans: 3.606

Like? Yes (1) | No   

Dr.Dipin Singh   9 years AGO

Series consists of Square root of prime numbers like 2,3,5,7,11.
next prime no. is 13.
so next number = Sqrt (13)= 3.606

Like? Yes (1) | No   

iyeswariya AR   9 years AGO

it follows the order sq of 2,sq of 3 sq of 5 sq of 7 sq of 11 and the next will be sq of 13

Like? Yes (1) | No   

Sanu Panji   9 years AGO

sqrt(13)

Like? Yes (1) | No   

Sreetama Dam   9 years AGO

root of all prime numbers are here in the series
2^.5=1.414
3^.5=1.732
5^.5=2.236
7^.5=2.646
11^.5=3.317
the next prime number is 13
13^.5=3.606

Like? Yes (1) | No   

S. Singh   9 years AGO

root 13= 3.60555
means approx 3.606

Like? Yes (1) | No   

ABHINAV PUSHPAM   9 years AGO

The series is of square root of 2,3,5,7,11. So next number will be root 13. As all the numbers are prime number in a sequence. So option 4 is correct.

Like? Yes (1) | No   

Yekollu Muneeswar   9 years AGO

square roots of the successive prime numbers starting from 2

Like? Yes (2) | No (1)  

sabir ahmd   9 years AGO

Square root of 2 is = 1.3414
Square root of 3 is = 1.732
Square root of 5 is = 2.236
Square root of 7 is = 2.646
Square root of 11 is = 3.317
Square root of next prime number ,that is 13, is= 3.606

Like? Yes (1) | No   

Jaspalsingh Parmar   9 years AGO

Its root of 13 simple

Like? Yes (2) | No (1)  

Anshul Garg   9 years AGO

sqrt(2) = 1.414
sqrt(3) = 1.732
sqrt(5) = 2.236
sqrt(7) = 2.646
sqrt(11) = 3.317

If we look at series in the brackets, the numbers in bracket are prime numbers.

So the next number in the bracket will be 13 and answer will be

sqrt(13) = 3.606

Like? Yes (1) | No   

venu   9 years AGO

The given below values are in series of square root of prime numbers i.e., sqrt(2),sqrt(3),sqrt(5),sqrt(7), sqrt(11) =3.137 then sqrt(13) = 3.606

Like? Yes (1) | No   

Pradeep SB   9 years AGO

Because it showing square root of prime numbers

Like? Yes (1) | No   

khushboo goenka   9 years AGO

square root of all prime nos

Like? Yes (1) | No   

b.subbarao   9 years AGO

series is sqrt(prime number). so, next number is sqrt(13)=3.606, so option (4) is correct

Like? Yes (1) | No   

MRITUNJAY   9 years AGO

sqrt(2),sqrt(3),sqrt(5),sqrt(7),sqrt(11),sqrt(13)
because it is series of prime number.

optio(4).

Like? Yes (1) | No   

chittu   9 years AGO

square root 13
series of square roots of prime no's

Like? Yes (1) | No   

Rahul   9 years AGO

this is series of square root of prime numbers

Like? Yes (1) | No   

sourabh verma   9 years AGO

it's series of squre root of prime number.

Like? Yes (1) | No   

A M ANKIT KALLURAYA   9 years AGO

square root of consecutive primes...
so ans is sqrt of 13 which is 3.606

Like? Yes (1) | No   

vaishnavi   9 years AGO

(2)^(1/2)=1.41.4
(3)^(1/2)=1.732
like this we get the squares of prime no.
so, (13)^(1/2)=3.606

Like? Yes (1) | No   

arush gupta   9 years AGO

ans 3.606

Like? Yes (1) | No   

Shreeom Singh   9 years AGO

3.606....bcz given series are square root of prime numbers....like 2,3,5,7,11...
so next number of this series will be 13.

Like? Yes (1) | No   

KEERTHANA A   9 years AGO

square root of 10

Like? Yes (1) | No   

Gitanjali K   9 years AGO

sq root of prime numbers.
so after 11, 13 is the next prime no.
sq root(13)=3.606 is the answer

Like? Yes (1) | No   

Ravi Kumar Kodari   9 years AGO

values of the square roots of prime numbers.
sqrt(13)=3.606

Like? Yes (1) | No   

Shubham   9 years AGO

given-sqrroot2,sqrroot3,sqrroot5,sqrroot7,sqrroot11
the series is of sqrroot of prime numbers and the next prime number is 13 and sqrroot13=3.606

Like? Yes (1) | No   

Sravanthi   9 years AGO

Square root of primary numbers 2,3,5,7,11,13

Like? Yes (1) | No   

S.Dhaarani   9 years AGO

ans= root 13
root2,root 3,root5,root7,root11,root13
2,3,5,7,11,13 are prime numbers

Like? Yes (1) | No   

sneha sri   9 years AGO

sqrt(13)

Like? Yes (1) | No   

Mukul Abhijit Bhate   9 years AGO

these are the square roots of prime no.
2,3,5,7,11,13....
sqrt(13)=3.606

Like? Yes (1) | No   

Nupur   9 years AGO

The terms are under-roots of 2,3,5,7,11
So the next term must be 13^0.5

Like? Yes (1) | No   

kumar shishir   9 years AGO

sqrt(2) = 1.414
sqrt(3) = 1.732
sqrt(5) = 2.236
sqrt(7) = 2.646
sqrt(11) = 3.317
sqrt(13) = 3.606
this series is of squareroot of prime numbers, after 11 , 13 is the next prime number, so next in the series is sqrt(13) i.e. 3.606

Like? Yes (1) | No   

itishree das   9 years AGO

root over of prime numbers...
root over of 2,3,5,7,11,13
so option 4-3.606

Like? Yes (1) | No   

Sourabh Prasad   9 years AGO

root(13)

Like? Yes (1) | No   

Y V S Chandrakanth   9 years AGO

Square roots of odd numbers.
2,3,5,7,11,13
Therfore,sqrt(13)=3.6055

Like? Yes (1) | No   

suguna   9 years AGO

sqrt(13)

Like? Yes (1) | No   

sruthi   9 years AGO

1.414 is square root of 2,
1.732 is square root of 3,
2.236 is square root of 5,
2.646 is square root of 7,
3.317 is square root of 11,
3.606 is square root of 13

Like? Yes (1) | No   

ganesh babu   9 years AGO

Sq2, sq3, sq5, sq7, sq11, sq13 all prime number

Like? Yes (1) | No   

karthikeya varma   9 years AGO

SQUARE ROOTS SEQUENCE OF PRIME NO 'S
SQRT(2),SQRT(3).......SQRT(13)
SQRT(13)=3.606

Like? Yes (1) | No   

priya saha   9 years AGO

option 4: 3.606
all the numbers are square root of prime numbers
sqrt(2)=1.414
sqrt(3)=1.732...... sqrt(13)=3.606

Like? Yes (1) | No   

jahnavi raja   9 years AGO

sqrt(13)=3.606

Like? Yes (1) | No   

Mithun Kumar Kesari   9 years AGO

root 3= 3.6055

Like? Yes (1) | No   

pranay   9 years AGO

square root of number
1=1.000
2=1.414
3=1.732(prime no)
4=2.000
5=2.236(prime no)
6=2.449
7=2.646(prime no)
8=2.828
9=3.000
10=3.162
11=3.317(prime no)
12=3.404
answer 13=3.606(prime no)

Like? Yes (1) | No   

Akshat Mokashi   9 years AGO

sqrt(2)=1.414
sqrt(3)=1.732
sqrt(5)=2.236
sqrt(7)=2.646
sqrt(11)=3.317
sqrt(13)=3.606

Like? Yes (1) | No   

vishnuvardhan   9 years AGO

sqrt(of prime)
sqrt(13)=3.606

Like? Yes (1) | No   

aliyan   9 years AGO

the above answer is for prime nos root
root 2
root 3
root 5
root 7
root 11
and finally
root 13

Like? Yes (1) | No   

SWETHA BAPANAH K S   9 years AGO

The given series is The Squareroot of all the prime numbers.
sqrt(2)=1.414
sqrt(3)=1.732
sqrt(5)=2.236
sqrt(7)=2.646
sqrt(11)=3.317
sqrt(13)=3.606

Like? Yes (1) | No   

KILUGU NARASINGA RAO   9 years AGO

square root of prime numbers 2,3,5,7,11,13

Like? Yes (1) | No   

Paras Jain   9 years AGO

series of sqrt of prime nos. sqrt(13) = 3.606 (approx.) Ans.

Like? Yes (1) | No   

MUKUND SHANKAR   9 years AGO

all terms are the square root of consecutive prime no.
next term=root(13) =3.6055

Like? Yes (1) | No   

prakash kumar   9 years AGO

all terms are the square root of consecutive prime no.
next term=root(13) =3.6055

Like? Yes (1) | No   

manasa   9 years AGO

the order is 1 3 5 7 11 13(primenumbers)...the above given numbers are the the roots of these ..so root of 13 is 3.606

Like? Yes (1) | No   

Abhik Das   9 years AGO

simple sqaure root of prime number
so in this series the next number will be=(13)^0.5=3.606

Like? Yes (1) | No   

Ankit Sirohi   9 years AGO

all the given numbers in the sequence are the square root values of prime numbers i.e
2,3,5,7,11 thus nxt is root of 13=3.606

Like? Yes (1) | No   

Mahesh   9 years AGO

root 2 = 1.414 (rounded to three digits)
root 3 = 1.732
root 5 = 2.236
root 7 = 2.646
root 11 = 3.317

Hence we have to find the root of the next prime number as all the numbers are prime numbers

Nest prime is 13 and
root 13 is 3.606

Like? Yes (1) | No (1)  

ranjithreddy   9 years AGO

squareroots of prime numbers

Like? Yes (1) | No (1)  

Jigyasa Kumar   9 years AGO

next no. will be sqrt(11)

Like? Yes (1) | No (1)  

abhilasha   9 years AGO

sqrt 11

Like? Yes (1) | No (1)  

apurva katyayni   9 years AGO

this is in the form sqrt2 , sqrt3, sqrt5, sqrt7, sqrt10

Like? Yes (1) | No (1)  

NARESH AVIRENU   9 years AGO

square root of prime numbers

i.e

sq rt of 2=1.414
sq rt of 3=1.732
sq rt of 5=2.236
sq rt of 7=2.646
sq rt of 11=3.317
sq rt of 13=3.606

Like? Yes (2) | No (2)  

sandeep kumar   9 years AGO

Are there compilers out there that will intelligently optimize code for multiple processors? You might say that code HAS to be written for multiple processors, but a lot of code isn't that could be.
Consider a simple little app like this, written in crappy pseudocode. I put line numbers so you can see the steps involved.
1. Initialize a variable "a"
2. Initialize a variable "b"
3. Initialize a variable "c"
4. Initialize a variable "d"
5. Store 10 into a
6. Store 15 into b
7. Store 20 into c
8. Store 25 into d
9. Add a and b and store it to C
10. Multiply D with C and store it to A
Now, what if a compiler optimized this code for multiple processors? You see, the problem with multithreading is dependency on previous operations. What if a code skimmed through and realized that, for example, variable A wasn't being used in lines 2,3, 4, 6, 7, or 8? An optimized code for two processors could look something like this:
1. Initialze "a" and "b"
2. Initialize "c" and "d"
3. Store 10 into "a" and 15 into "b"
4. Add "a" and "b" and store it into "c"
5. Multiply "d" with "c" and store it into "a"
The whole idea is based on data dependency on previous and future operations.
Let's take a more extreme example:
1. Initialize "a"
2. Initialize "b"
3. Initialize "c"
4. Initialize "d"
5. Initialize "e"
6. Initialize "f"
7. Initialize "g"
8. Initialize "h"
9. Store 1.414 into "a"
10. Store 1.732 into "b"
11. Store 2.236 into "c"
12. Store 2.646 into "d"
13. Store 3.317 into "e"
14. Store 3.606 into "f"
15. Store 4.123 into "g"
16. Store 4.359 into "h"
17. Add "e" and "f" and store it to "g"
18. Add "a" and "b" and store it to "c"
19. Multiply "d" and "c" and store it to "a"
20. Multiply "h" and "g" and store it to "e"
This can be rewritten for two threads:
1. Initialize "a" ; Initialize "b"
2. Initialize "c" ; Initialize "d"
3. Initialize "e" ; Initialize "f"
4. Initialize "g" ; Initialize "h"
5. Store 1.414 into "a" ; Store 1.732 into "b"
6. Store 2.236 into "c" ; Store 2.646 into "d"
7. Store 3.317 into "e" ; Store 3.606 into "f"
8. Store 4.123 into "g" ; Store 4.359 into "h"
9. Add "e" and "f" and store it to "g" ; Add "a" and "b" and store it to "c"
10. Multiply "d" and "c" and store it to "a" ; Multiply "h" and "g" and store it to "e"
What do you think?

Like? Yes (1) | No (4)  

16 Jan 2015 Shares

A man purchase 180 shares of a company @ 2492.50 per share and sell these @ 2675.00 per share. If brokarage is 40 paisa per 100 rupee with 20% addition tax on brokarage both time (at the time of purchase and also at the time of sell) then his profit will be

OPtion

1) 28492.64
2) 28676.98
3) 28385.28
4) 28712.62
5) 28699.00
6) 28667.30
7) 28712.12
8) 28699.18
9) 28677.16
10)28718.66

Solution

Cost of share = 2492.5 * 180 = 448650
Brokarage = 448650 * .4/100 * 1.2 = 2153.52
Total cost of purchase = 450803.52
Cost of share = 2675*180 = 481500
Brokarage with tax = 481500 * .4/100 * 1.2 = 2311.20
Total cost of sell = 479188.80
Profit = 479188.80 - 450803.52
= 28385.28
Option 3)

Correct Option: 3 Best Solution (18)

b.subbarao   10 years AGO

gross profit on transaction=2675*180-2492.5*180=32850 brokerage on trading=(2492.5*180+2675*180)*.4%=3720.6
tax on brokerage=3720.6*20%=744.12
net profit=32850-(3720.6+744.12)=28385.28

Like? Yes (7) | No (1)  

Ashwin Dinesh   10 years AGO

Simple calculation:
CP = 450803.52
SP = 479188.80
SP - CP = 28385.28

Like? Yes (4) | No   

A M ANKIT KALLURAYA   10 years AGO

cost price=180*2492.5=448650
selling price=180*2675=481500
brokerage+20% during purchasing=2153.52
brokerage+20% during selling=2311.20
total profit=481500-2153.52-2311.20-448650=28385.28

Like? Yes (4) | No (1)  

Abhik Das   10 years AGO

At the time of buy brokerage is (2492.5*0.4)=9.97 Rs/- & tax (9.97*0.2)=1.994 Rs/-
So he has to payment total(2492.5+9.97+1.994)=2504.464 Rs/- at the time of purchase
For selling purpose the total brokerage is(2675*0.4)=10.7 Rs/-and tax is(10.7*0.2)=2.14 Rs/-
So the total selling price becomes(2675-10.7-2.14)=2662.16 Rs/-
the profit is (2662.16-2504.464)*180=28385.28 Rs/-

Like? Yes (3) | No   

Jaspalsingh Parmar   10 years AGO

1 share purchase cost=2492.5 then 180 shares cost= 448650

since brokarage is 40 paisa per 100 rupee then for 2492.5 how much so,
=(0.4/100)*2492.5 = 9.97

20% addition tax on brokarage
=9.97+(0.2*9.97) = 11.964
for 180 shares, 180*11.964 = 2153.52--------------------(1st incentives)


1 share selling cost=2675 then 180 shares cost= 481500

since brokarage is 40 paisa per 100 rupee then for 2675 how much so,
=(0.4/100)*2675 = 10.7

20% addition tax on brokarage
=10.7 + (0.2*10.7) = 12.84
for 180 shares, 180*12.84 = 2311.2----------------------(2nd incentive)

so total profit =selling price - cost price-(additional incentives)=481500-448650-(2153.52+2311.2)
=28385.28
hence solved......jsp

Like? Yes (3) | No   

SREENIVASA RAO PALLAPU   10 years AGO

Purchased value of 180 shares = 448650/-
brokerage on this = 1794.6/-
tax on this brokerage = 358.92/-
Sold value of 180 shares = 481500/-
brokerage on this = 96300/- (40 paisa for every 100 of sold value)
Tax on this brokerage = 385.2/-
Profit = sold value - purchased value-(brokerage + tax)
=28385.28/-

Like? Yes (2) | No (1)  

Devendra Marghade   10 years AGO

Purchase Price=180*2492.50=448650
Purchase cost=448650*(0.4/100)+[448650*(0.4/100)](20/100)=2153.52

Total earnings from Selling= 180*2675=481500
Selling cost=481500*(0.4/100)+[481500*(0.4/100)](20/100)=2311.2

Actual Profit=Total earnings from Selling- [purchase price+purchase cost +selling cost]=481500-[448650+2153.52+2311.2]=28385.28

Like? Yes (2) | No (1)  

ABHINAV PUSHPAM   10 years AGO

Right answ

Like? Yes (1) | No   

sandeep kumar   10 years AGO

By cp and sp opration

Like? Yes (1) | No   

MRITUNJAY   10 years AGO

this is the answer

Like? Yes (1) | No   

arush gupta   10 years AGO

ans is 28385.28

Like? Yes (1) | No   

souraj sadhukhan   10 years AGO

ansr s 3

Like? Yes (1) | No   

guru   10 years AGO

Total investment =448650+1794.6+358.92=450803.52
Total income= 481500 - 1926 - 385.2= 28385.28
Profit = 479188.8 - 450803.52 = 28385.28

Like? Yes (1) | No   

RAKESH   10 years AGO

add brokarage with CP while subtract from SP

then, profit = SP - CP = 28385.28

Like? Yes (1) | No   

Mithun Kumar Kesari   10 years AGO

28385.5

Like? Yes (1) | No   

Surit Datta   10 years AGO

1 share purchase cost=2492.5 then 180 shares cost= 448650

since brokarage is 40 paisa per 100 rupee then for 2492.5 how much so,
=(0.4/100)*2492.5 = 9.97

20% addition tax on brokarage
=9.97+(0.2*9.97) = 11.964
for 180 shares, 180*11.964 = 2153.52--------------------(1st incentives)


1 share selling cost=2675 then 180 shares cost= 481500

since brokarage is 40 paisa per 100 rupee then for 2675 how much so,
=(0.4/100)*2675 = 10.7

20% addition tax on brokarage
=10.7 + (0.2*10.7) = 12.84
for 180 shares, 180*12.84 = 2311.2----------------------(2nd incentive)

so total profit =selling price - cost price-(additional incentives)=481500-448650-(2153.52+2311.2)
=28385.28
So option 3
That's it.

Like? Yes (1) | No   

Paras Jain   10 years AGO

its 28385.28 Ans.

Like? Yes (1) | No   

Jay parmar   10 years AGO

option 3 is correct

Like? Yes (1) | No   

15 Jan 2015 Quadratic Equation

x (x^2+6x+18)(x+6) = 159919
then (x+4)^4 will be

OPtion

1) 390625
2) 194481
3) 160000
4) 104976
5) 50625
6) 20736
7) 14641
8) 10000
9) 6561
10)4096

Solution

x (x^2+6x+18)(x+6) = 159919
(x+3-3)(x^2+6x+18)(x+3+3) = 159919
[(x+3)^2 - 9] [(x+3)^2 + 9] = 159919
(x+3)^4 - 81 = 159919
(x+3)^4 = 160000
x+3 = 20
x = 17
(17+4)^4 = 21^4 = 194481

Option 2)

Correct Option: 2 Best Solution (36)

Supriya Mondal   10 years AGO

Given,
x (x^2+6x+18)(x+6) = 159919
solving this equation we get x=17
so, (x+4)=21
so,21^4=194481
so option 2)194481 is the right answer

Like? Yes (3) | No (1)  

Vinay Sipani    10 years AGO

Since it is a 4th degree equation,the root is closer to (159919)^1/4
i.e. x is closer to 20 and -20

Let f(x)=x(x^2+6x+18)(x+6)-159919
f(20),f(19) and f(18) are positive,greater than 0 and tend towards 0

Since the options are integers,x is an integer
=> x = 17

=>(x+4)^4 = 21^4 = 194481

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arush gupta   10 years AGO

ans is 2
expanding the equation we get
x^4 + 12x^3 + 54x^2 + 108x
(x^4 + 12x^3 + 54x^2 + 108x +81)-81
(x+3)^4=159919+81
x+3=20
x=17
(x+4)^4=(17+4)^4=(21)^4=194481 ans

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rajan jha   10 years AGO

reason;
x(x+6)=x^2+6x=y(say);
=>y(y+18)=159919;
after solving,y=-409 and +391;
y=-409,results in -ve descriminanat so only y=+391 is possible,for this
x=-23 and +17
so,(-23+4)=-19=>(-19)^4=130321
also (+17+4)=21=>(21)^4=194481

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souraj sadhukhan   10 years AGO

ansr is 194481 bcz only this one gvs a natural value of x if we put it in the equatn (x+4)^4

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sompon temtheerakij   10 years AGO

x (x^2+6x+18)(x+6) = 159919
x (x+6)(x^2+6x+18) = (17)(23)(409)
x = 17
(x+4)^4 = 194481

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Surit Datta   10 years AGO

By solving the above quadratic equation
we get x = 17
so after solving the following given equation
we get
(17+4)^4 = 194481
So option 2
That's it.

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Ajinkya Kulkarni   10 years AGO

194481
X=17

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Meenakshi   10 years AGO

solving equations using synthetic division method we get x=17
so,
(x+4)^4=21^4=194481

Like? Yes (1) | No   

Chandra chur anand   10 years AGO

159919 is divisible by 17
so it will be like 17*409*23 as x=17
so (17+4)^4=21^4=194481 ans...

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Mukul Abhijit Bhate   10 years AGO

value of x from 1st equation is 17
then (17+4)^4=194481

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Abhishek Porwal   10 years AGO

x(x^2+6x+18)(x+6)=409*23*17
On equating the above equation , we get
x=17.
Therefore ,
(17+4)^4=194481

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Niraj Agarwal   10 years AGO

The expression could be written as:
( x^2 + 6x + 18 ) ( x^2 + 6x) = 159919

Take (x^2 + 6x + 18) = X
Now, the equation reduces to : X ( X - 18 ) = 159919
which is a simple quadratic equation with roots as X = 409, -391
Putting these values of X in original equation we get two separate quadratic equations as;
x^2 + 6x - 391= 0 and x^2 + 6x + 409 = 0
Clearly second equation does not have any real roots therefore discard this. Solving first we get two real roots as
x = 17, -23
Using these values to compute (x + 4) ^ 4 we get the desired result as option 2.

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Abhisek nandi   10 years AGO

solving above equation we get
x=17
so
(17+4)^4=194481

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Paras Jain   10 years AGO

x=17 so (17+4)^4 = 194481Ans.

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Mithun Kumar Kesari   10 years AGO

x=17
(x+4)^4 = 194481

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Jaspalsingh Parmar   10 years AGO

solving above equation we get
x=17
so (17+4)^4=194481
hence solved

Like? Yes (2) | No (2)  

b.subbarao   10 years AGO

x (x^2+6x+18)(x+6) = 159919,;x(x+6)(x^2+6x+18)=159919
(x^2+6x) (x^2+6x+18)=159919
let x^2+6x=p then p(p+18)=159919, p^2+18p-159919=0
p= -18+or - (sqrt324+4*159919)/2=391
x^2+6x=391 ----> -6+ or - sqrt (936+1564)/2= -23 or 17------ by taking positive value (x+4)^4=(17+4)^4=21^4=194481

Like? Yes (3) | No (3)  

Shreeom Singh   10 years AGO

only there are two root comes afer solving x=-23 and 17.
so after putting x=17
answer will be 194481

Like? Yes (3) | No (3)  

DurgaPrasad   10 years AGO

x((x+3)^2+3^2)((x+3)+3)) =159919......eqn(1)
take x+3=y
so x=y-3
by substituting in eqn 1
(y-3) (y^2+3^2) (y+3)=159919
(y^2+3^2) (y^2-3^2)=159919
y^4-3^4=159919
y^4=160000
y=20
x+3=20
x+4=21
(x+4)^4=194481

Like? Yes (2) | No (2)  

sandeep kumar   10 years AGO

x(x^2+6x+18)(x+6)=409*23*17
after equating
x=17.
(17+4)^4=194481

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Ankit Pandey   10 years AGO

as 17 is a factor of 159919
Hence x=17
now (x+4)^4= 21^4=194481

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A M ANKIT KALLURAYA   10 years AGO

solving the given equation we get the value of x as
x=17
so
(17+4)^4=194481

Like? Yes (1) | No (1)  

Udhaya kumar   10 years AGO

x(x^2+6x+18)(x+6)=409*23*17

after equating

x=17.

(17+4)^4=194481

Like? Yes (2) | No (2)  

K SRILEKHA   10 years AGO

(x+6)*(x^2+6x+18)*x = 159919
on solving this eqn we get
x=17,-23,-3+20i,-3-20i
put x=17 in (x+4)^4
then we get ans: 194481

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vishnuvardhan   10 years AGO

159919=17*409*23
x=17
21^4=194481

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Anshul Garg   10 years AGO

The above expression can be written as
((x+3)-3) ((x+3)^2 + 3^2) ((x+3)+3) = 159919
It gives
((x+3)^2 + 3^2)((x+3)^2 - 3^2) = 159919
i.e.
(x+3)^4 - 3^4 = 159919
So, (x+3)^4 = 16000
From above equation, x=17
And (x+4)^4 = 21^4 = 194481

Like? Yes (1) | No (1)  

vittal s   10 years AGO

17 * (17^2 + 6*17 +18) * (17+6) = 159919
therefore
(17+4)^4 is 194481

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aarti singh   10 years AGO

given equ is equal to
(x-3)^4-81=159919
x will be 17
x+4 will be 21
and 21^4 =194481

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RAKESH   10 years AGO

x (x^2+6x+18)(x+6) = 159919 = 17*23*409

=> x = 17, -23

(x+4)^4 = 21^4 = 194481

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jagan   10 years AGO

solving above equation we get
x=17
so
(17+4)^4=194481

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susanta   10 years AGO

if x=17 then full fill the 1st statement
so(17+4)^4=194481

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MRITUNJAY   10 years AGO

x(x^2+6x+18)(x+6)=409*23*17

after equating

x=17.

(17+4)^4=194481
option 2.

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Abhik Das   10 years AGO

1st expand the total term we get
(x^4+12*x^3+54*x^2+108*x)=159919
as it is to the power of 4th
so arrange the right hand side of the equation we get
(x^4+12*x^3+54*x^2+108*x)=160000-81
or, (x^4+12*x^3+54*x^2+108*x+81)=160000
or, (x+3)^4=20^4
or, x=17
so now (x+4)^4=21^4=194481

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guru   10 years AGO

On solving the given equation we get x=-23 or x=17.
Taking x=17 we get x+4=21
21^4=194481.
Taking x=-23 we get x+4=-19
(-19)^4=130321, but this is not one of the answers.
So the option 2 is correct.

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Gitanjali K   10 years AGO

(17+4)^4=194481

Like? Yes (1) | No (2)