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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
Read Solution (Total 7)
-
- the series is wrong....look the series again ....look at position of 78x^78+79x^79...and 3x^2-4x^3..
- 11 years agoHelpfull: Yes(26) No(2)
- 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 - 11 years agoHelpfull: Yes(22) No(2)
- 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
- 11 years agoHelpfull: Yes(19) No(21)
- when we take x=1....wont it be smthng divided by 0..dat is indifinite???
- 11 years agoHelpfull: Yes(6) No(3)
- 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 - 11 years agoHelpfull: Yes(3) No(8)
- which is the corect ans... and how is it comming?? plz help
- 11 years agoHelpfull: Yes(2) No(0)
- 41
substitute x=1 in d given equation we get
remainder as 41
- 11 years agoHelpfull: Yes(0) No(9)
TCS Other Question
Consider the function M(n) defined on positive integers by M(n)=minimum of the digits of n;
For example, M(71) = min (7, 1) = 1.
The sum M(1) + M(2) + ... + M(90) equals
option
a) 284
b) 313
c) 302
d) 285
e) 286
In a stock car race, the first five finishers in some order were a Ford, a Pontiac, a Chevrolet, a Buick, and a Dodge.
The Ford finished 16 seconds before the Chevrolet.
The Pontiac finished 15 seconds after the Buick.
The Dodge finished 17 seconds after the Buick.
The Chevrolet finished 11 seconds before the Pontiac.
In what order (from first to last) did the cars finish the race?
Ford, Buick, Chevrolet, Pontiac, Dodge
Buick, Pontiac, Ford, Chevrolet, Dodge
Buick, Dodge, Ford, Pontiac, Chevrolet
Buick, Ford, Dodge, Chevrolet, Pontiac