Latest TCS Aptitude Question SOLUTION: A^B means A raised to the power B. Let f(X)= 1+X,+X^2+.....X^6. The remainder when f(X^7 )is divided by f(X) is 1)7 2)0 3)6 4)none of these

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(#M40114797) TCS Numerical Ability question numerical Keep an EYE

A^B means A raised to the power B. Let f(X)= 1+X,+X^2+.....X^6. The remainder when f(X^7
)is divided by f(X) is

1)7 2)0 3)6 4)none of these

Asked In TCS Divya jain (9 years ago)

Unsolved Read Solution (8)

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Abhishek Kumar  (9 years ago)

Ans =7

f(x)=1+x+x^2+.....x^6
putting x=2
f(x)=127


f(2^7)=1+128+128^2+.....128^6

dividing by 127
f(128)=1/127+128/127+...128^6/127
= 1 +1 + 1.....+1
= 7

Is this solution Helpfull? Yes (17) | No (2)  

Surit Datta  (9 years ago)

to find remainder of a polynomial fn f(x)/g(x)
put x = 0,1 or any value

put x=0
f(x)=1
f(x^7)=1
f(x^7)/f(x)= 1/1 => remainder = 0

put x=1
f(x)=7
f(x^7)=7
f(x^7)/f(x)= 7/7 => remainder = 0

Is this solution Helpfull? Yes (7) | No (15)  

mounikacherala  (9 years ago)

none of these

Is this solution Helpfull? Yes (2) | No (3)  

shuvodeep roy  (9 years ago)

ans will be 1....NONE OF THESE...

Is this solution Helpfull? Yes | No (4)  

aman vikram singh  (9 years ago)

i think none of these because if u put f(x) in the f(x^7) it will never be zero...so none of these.

Is this solution Helpfull? Yes | No (3)  

jeyshri  (9 years ago)

ans is none of these..

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Deepali Tyagi  (8 years ago)

ans is 7 .
use the identity that x^n-a^n is always divisible by x-a

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AMIT  (8 years ago)

Answer: C
Explanation:
Given that + ....+ =
We will rewrite the above equation, ... +
We know that
( = . )
Now It is clear that is exactly divisible by f(x).
Also and is a factor of this expression. ( is always divisible by
Similarly, we write , ....
So remainder = 1 + 6 = 7

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