Latest TCS Aptitude Question SOLUTION: When the polynomial 1-2x+3x^2-4x^3+..... -78x^78+79x^79 is divided by x-1, the remainder is option a) 39 b) -39 c) x+1 d) 41 e) 40

• Placement Papers
• /
• TCS

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

(#M40026338) TCS question Keep an EYE

When the polynomial 1-2x+3x^2-4x^3+..... -78x^78+79x^79 is divided by x-1, the remainder is
option
a) 39
b) -39
c) x+1
d) 41
e) 40

Asked In TCS (10 years ago)

Unsolved Read Solution (7)

Is this Puzzle helpful?   (5)   (4) Submit Your Solution

Read Solution (7) :

ashish kumar singh  (10 years ago)

the series is wrong....look the series again ....look at position of 78x^78+79x^79...and 3x^2-4x^3..

Is this solution Helpfull? Yes (26) | No (2)  

kirti  (10 years ago)

answer is c(x+1)
if we put x=-1, then series will be (1+2+....+79)/-2 that leaves remainder 0 and (x+1)=0

Is this solution Helpfull? Yes (22) | No (2)  

rohan chawla  (10 years ago)

answer is 40

for the remainder put x=1 in the polynomial and whatever the answer comes is the remainder
by putting 1 we get
1-2+3-4+5.....-78+79
here we have can arrange the series as
(1+3+5+....+79)-(2+4+6+...78)
both are in arithmetic progression with both having common difference as 2
solving we get answer as 40

Is this solution Helpfull? Yes (19) | No (21)  

abhishek mishra  (10 years ago)

when we take x=1....wont it be smthng divided by 0..dat is indifinite???

Is this solution Helpfull? Yes (6) | No (3)  

Aman Garg  (10 years ago)

Ans= -39
putting x=1 in above polynomial

-1+2(1)+[3(1)^2]-[4(1)^3].... [79(1)^79]
now when we take 2 terms at a time.. it will give -1 each.. ex. -1+2(1)=1 ; [3(1)^2]-[4(1)^3]= -1
so when we add all.. it will give -39

Is this solution Helpfull? Yes (3) | No (8)  

monalisa ghosh  (10 years ago)

which is the corect ans... and how is it comming?? plz help

Is this solution Helpfull? Yes (2) | No   

koduri tejaswini  (10 years ago)

41
substitute x=1 in d given equation we get
remainder as 41

Is this solution Helpfull? Yes | No (9)  

Please Login to Read Solution.