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Remainder when 5^(40) is divided by 11....

Remainder when `5^(40)` is divided by 11.

A

2

B

3

C

1

D

0

Text Solution

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The correct Answer is:
C
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PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
  1. The coefficient of x^n in the expansion (2x+3)^n-(2x+3)^(n-1)(5-2x)+(2...

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  2. The coefficient of x^(65) in the expansion of (1+x)^(131)(x^2-x+1)^(30...

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  3. Remainder when 5^(40) is divided by 11.

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  4. If (1+x-2x^2)^6=1+a1x+a2x^2+……+a(12)x^12 then

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  5. Number of values of r satisfying the equation ,^69C(3r-1) -^(69)C(r^2)...

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  6. In the expansion of (x+(a/x^2))^n, (ane0) if term independent of x doe...

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  7. If f(n)=sum(r=1)^n[r(n ^(n-1)C(r-1)-r^C(r-1))+(2r+1)^nCr]

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  8. The value of ,^nC0 + ^(n+1)C1 +^(n+2)C2+……+^(n+k)Ck is equal to

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  9. If the expansion of (x+(alpha/x))^n and (x+(beta/x^2))^n in powers of ...

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  10. The coefficient of the middle term in the expansion of (1+x)^(2n) is

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  11. If the term independent of x in the expansion of (sqrtx+(k/x^2))^10 is...

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  12. If n is a positive integer then in the trinomial expansion of (x^2+2x+...

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  13. Which of the following will not be true?

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  14. Consider following two infinite series in real r and 0 C=1+rcostheta...

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  15. Consider following two infinite series in real r and 0 C=1+rcostheta...

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  16. First three terms in the expansion of (x+a)^n are respectively 128, 22...

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  17. The sum of even terms in the expansion of (x+a)^n is

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  18. Match List - I with List-II

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  19. Match List-I with List-II

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  20. If the second term of the expansion [a^(1/13)+(a/sqrt(a^(-1))] is 14a^...

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