Three numbers are formed by taking three successive powers of 4. The sum of these three numbers is 2

Sundar Kumar   10 years AGO

4^7+4^6+4^5= 21504
greatest power is 7
Answer option 8) 7

Like? Yes (13) | No (4)  

Aalvin   9 years AGO

(4^x)+(4^(x+1))+(4^(x+2))=21504
4^x(1+4+16)=21504
4^x=1024
x=5
greatest power raised=7

Like? Yes (2) | No   

Shashank   10 years AGO

4^x+4^(x+1)+4^(x+2)=21504
this form g.p. with r =4 and a= 4^x
use sum of g.p. formula
we get 4^5,4^6,4^7
7 is maximum power

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Ravi Bhalani   10 years AGO

4^5+4^6+4^7=21504

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Krupa Pareshkumar Shah   10 years AGO

4^5+4^6+4^7=21504

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akrati   10 years AGO

4^x+4^x+1+4^x+2=21504
4^7+4^6+4^5=21505

Like? Yes (1) | No   

vandana   10 years AGO

power of 4's=4,16,64,256,1024,4096,16384
16384 is 4^7.16384+4096+1024=21504
therefore highest power is 7

Like? Yes (3) | No (2)  

Jainisha Sankhavara   10 years AGO

Let first number be x.
Hence second and third numbers are 4x and 16x.
x+4x+16x = 21504
21x=21504
x=1024=4^5
the greatest power raised is the power of third number which is equal to 16x(4^5)= 4^7
Therefore ans is 7(option number 8).

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Arun Karthick   9 years AGO

we can perform successive division on the number 21504 only 7 times
So its obviously the power of 4 cant be more than 7.
the sum of 4^5 + 4^6 + 4^7

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Tark Patel   9 years AGO

(4^5)+(4^6)+(4^7)=21504
so greatest power is 7.

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Vibha   9 years AGO

4^n + 4^(n+1) +4^(n+2) =21504
4^n (1 + 4 + 16) = 21504
4^n(21) = 21504
4^n=1024
4^n =4^5
=> n = 5
=> greatest power = 7

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DHIRENDRA    9 years AGO

5^4 + 6^4 + 7^4= 1024 + 4096 + 16384 = 21504

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suraj jha   9 years AGO

4^7=16384.....(1)
4^6=4096......(2)
4^5=1024......(3)
adding (1),(2),(3) we get 21504.
so the greatest power raised=7

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paaredi muthyam reddy   9 years AGO

4^x+4^(x+1)+4^(x+2)=21504
solve it we get x=5
x+2=7

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Ramesh Sriram   9 years AGO

4^x+4^(x+1)+4^(x+2)=21504
solve it we get x=5
x+2=7

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T.Aravinth kumar   9 years AGO

4^5+4^6+4^7

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joyal   9 years AGO

4^7=16384
4^6=4096
4^5=1024
So 4^7+4^6+4^5=21504

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NAVNEET RAJ VAISH   9 years AGO

4^x+4.4^x+4.4.4^x=21504
(1+4+4.4)4^x=21504
21.4^x=21504
4^x=1024
4^x=4^5
x=5

and highest power will be 4.4.4^5
that is 7

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Udhaya kumar   9 years AGO

4^5+4^6+4^7 = 21504

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mansi garg   10 years AGO

4^5+4^6+4^7=21504
hence

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Devendra Marghade   10 years AGO

IThe three numbers formed by successive power of 4 as 4^a, 4^(a+1), 4^(a+2)
Given, [4^a+ 4^(a+1)+ 4^(a+2)]=21504
[4^a+(4^a)*(4^1)+(4^a)*(4^2)]=21504
4^a[1+4+16]=21504 ,4^a=1024, a=5
So greatest power of 4 raised=a+2=5+2=7

Like? Yes (1) | No (2)  

NITIN KUMAR GOYAL   10 years AGO

(4^x)+(4^(x+1))+(4^(x+2))=21504
x=5
so maximum power will be 5+2=7

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pawan kumar chhipa   10 years AGO

by hit and trial
ans is 8) 7

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Bhavna   10 years AGO

4^x+4^(x+1)+4^(x+2)=21504
x=5;
max power=x+2
=7

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Dipak Shaw   10 years AGO

4^5+4^6+4^7=21504

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kapil singh   10 years AGO

4^(x-1)+4^(x)+4^(x+1)=21504
4^x(1/4+1+4)=21504
x=6
hence greatest power = x+1 i.e 7

Like? Yes (1) | No (2)  

Saraswathy   10 years AGO

4^x + 4^(x+1) + 4^(x+2) = 21504
4^x + 4^x * 4 + 4^x * 16 = 21504
4^x(1+4+16) = 21504
4^x = 1024
4^x = 4^5
x=5
Max. power is (x+2) => 7

Ans : 7 (Option 8)

Like? Yes (1) | No (2)  

NAGENDRA P   9 years AGO

4^A+4^(A+1)+4^(A+2)=21504
4^A*(1+4+16)=21504
4^A=1024
A=5..
A+2=7..
SO OPTION (8) IS ANSWER

Like? Yes (1) | No (2)  

Anand Singh   9 years AGO

Let first successive number is x
so, Second successive number is x+1
and third successive number is x+2
According to question...
4^x+4^(x+1)+4^(x+2)=21504...
by solving above equation we get
x=5,
then greatest number is 7.ANS

Like? Yes (1) | No (2)  

saira fatma   9 years AGO

8)7 is the answer because 4^7=16384,4^6=4096,4^5=1024 on adding these no=16384+4096+1024 we get 21504

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ROMA SINGH   9 years AGO

4^x+4^(x+1)+4^(x+2)=21504
4^x(1+4+16)=21504
4^x(21)=21504
4^x=1024
x=5; x+1=6 x+2=7
ans= 7

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akshansh shrivastav   9 years AGO

4^5+4^6+4^7=21504

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sruthi   9 years AGO

8 is the answer

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RAKESH   10 years AGO

4^x + 4^(x+1)+ 4^(x+2)= 21504
=> 4^x(1+4+16)= 21504
=> 4^x = 1024
=> x=5
(x+2)=7

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akash Khandale   10 years AGO

check ooptin

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Gitanjali K   10 years AGO

4^7+4^6+4^5=16384+4096+1024=21504
so 7 is the greatest power of 4 and option (8) is the answer..

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Yogesh   10 years AGO

4^5+4^6+4^7=21504

4^7=16384
4^6=4096
4^5=1024

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Shashi nath jha   10 years AGO

4^5+4^6+4^7=21504

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Varunraj Reddy   10 years AGO

4^5+4^6+4^7=21504

So greatest power raised=7

Option 8)

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D.Gnaphika   10 years AGO

let X be the power raised and so three numbers can be 4^x,4^(x+1),4^(x+2) according to the condition sum of them is 21504 and the we get x=5 and greatest power raised would be x+2=5+2=7

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Bobby Nayak   10 years AGO

let the 1st power of 4 be x, then 2nd and 3rd will be x+1 and x+2 respectively.

4^x + 4^(x+1) + 4^(x+2) = 21504
4^x + (4^x)4 + (4^x)16 =21504
4^x(1+4+16) =21504
4^x(21)=21504
4^x= 21504/21
2^2x = 1024
2^2x= 2^10
2x=10 and x=5
thus the powers are 5, 6 and 7.

answer is option 8 i.e.,7

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pankaj kumar   10 years AGO

4^x + 4^(x-1) +4^(x-2) = 21504

4^(x-2) { 4^2+4+1} =21504

4^(x-2) = 21504/21 =1024

4^x = 4^7

so x=7

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Sumesh TS   10 years AGO

changed

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Dinesh thatti   10 years AGO

Three numbers are formed by taking three successive powers of 4

take 5,6,7 we get 4^5=1024
4^6=4096
4^7=16384
total=21504
The sum of these three numbers is 21504.

the greatest power raised is 4^7

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Rashmi bharti   10 years AGO

4^n(1+4+16)=21504
=>n=5

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Vishal Chugh   10 years AGO

Let the powers be n, n+1 and n+2.Now according to the question the equation formed will be:

4^n + 4^(n+1) + 4^(n+2) = 21504
Taking '4^n' common from the above equation we get:
4^n(1+4+16) = 21504
which gives
n = 5
Hence greatest power will be n + 2 = 7

Like? Yes (3) | No (5)  

vaibhav soni   10 years AGO

Given:
4^n + 4^(n+1) + 4^(n+2) = 21504
=> 4^n(1+4+16) = 21504
=> 4^n = 1024
=> 4^n = 4^5
=> n=5

so greatest power raised is = n+2 = 7

Like? Yes (1) | No (3)  

RAKHI RAMTEKE   10 years AGO

as,4^8 is greater than 21504 and by calculations 4^5+4^6+4^7=21504.......
so the greatest power here is 7....i.e option 8

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shree   10 years AGO

7 is the greatest power of 4.

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Dinesh Arora   10 years AGO

4^x + 4^x+1 +4^x+2 = 21504

4^x*4^0 + 4^x*4^1 + 4^x*4^2=21504
4^x(1+4+16)=21504
4^x*(21)=21504
4^x=1024
4^x=4^5
so x=5 and max successive is x+2 ie 5+2 = 7

Like? Yes (1) | No (3)  

Anupam Banerjee   9 years AGO

Let the successive nos are x, x+1, x+2;

So,4^x + 4^(x+1) + 4^(x+2) = 21504

solving this, x = 5;

So, the highest power is = 7;

Like? Yes (1) | No (3)