Latest TCS Aptitude Question SOLUTION: In this question 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: a) 7 b) 0 c) 6 d) none of these

• Placement Papers
• /
• TCS
• /
• Numerical Ability
• /
• Algebra

TCS Question Papers: TCS Interview Experience(90) TCS Company Profile

(#M40111668) TCS Numerical Ability question Keep an EYE

In this question 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:
a) 7
b) 0
c) 6
d) none of these

Asked In TCS Rishita (9 years ago)

Unsolved Read Solution (9)

Is this Puzzle helpful?   (17)   (6) Submit Your Solution Algebra

Read Solution (9) :

Satya B  (9 years ago)

ans d none of these

f(x^7)= 1+ x^7 + (x^7)^2 + .... + (x^7)^6
= 1+x^7 + x^14 + .... + x^4 = 1+x^7 * (1+x+x^2 + ... +x^6)
= 1+ x^7 f(x)
f(x^7)/f(x) = (1+ f(x)*x^7 ) / f(x)
the remainder is 1

Is this solution Helpfull? Yes (21) | No (21)  

Abhishek Sharma  (9 years ago)

There is a pattern.
if , f(x) = 1+x+x^2+.....+x^(n).
for x > 1,
then the remainder when f(x^(n+1)) is divided by f(x) is (n+1).
so , here remainder is 7.

Is this solution Helpfull? Yes (12) | No (5)  

Sitanshu  (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 (8) | No (6)  

vinay  (9 years ago)

remainder is 0.
at x=1
f(x^7)/f(x)=1

Is this solution Helpfull? Yes (4) | No (5)  

Ayushi Agarwal  (9 years ago)

ans d none of these

f(x^7)= 1+ x^7 + (x^7)^2 + .... + (x^7)^6
= 1+x^7 + x^14 + .... + x^4 = 1+x^7 * (1+x+x^2 + ... +x^6)
= 1+ x^7 f(x)
f(x^7)/f(x) = (1+ f(x)*x^7 ) / f(x)
the remainder is 1

Is this solution Helpfull? Yes (1) | No (11)  

anubhuti kumari  (9 years ago)

remainder for f(x^1) is 1
and for f(x^2) is 2
than similarly,
for f(x^7) is 7
hence 7 is the answer

Is this solution Helpfull? Yes (1) | No (2)  

bikas chandra  (9 years ago)

d..
let x=1..
then f(x)=7..
and
f(x^7)=8..thus we get,,
f(x^7)/f(x)=8/7=1
thus option is d

Is this solution Helpfull? Yes | No (2)  

sourav dolui  (9 years ago)

ans d none of these

f(x^7)= 1+ x^7 + (x^7)^2 + .... + (x^7)^6
= 1+x^7 + x^14 + .... + x^4 = 1+x^7 * (1+x+x^2 + ... +x^6)
= 1+ x^7 f(x)
f(x^7)/f(x) = (1+ f(x)*x^7 ) / f(x)
the remainder is 1
Read more at http://www.m4maths.com/placement-puzzles.php?ISSOLVED=&page=6&LPP=10&SOURCE=tcs&MYPUZZLE=&UID=&TOPIC=&SUB_TOPIC=#csdouGSWAaSU6C5k.99

Is this solution Helpfull? Yes | No   

srija  (9 years ago)

plzzzzzzzzzzzzzzz

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.