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2^(60) when divided by 7 leaves the rema...

`2^(60)` when divided by 7 leaves the remainder

A

1

B

6

C

5

D

2

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The correct Answer is:
A
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HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. The value of sum(r=1)^(10)r(n C(r))/(n C(r-1)) =

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  2. 6^(n)-5 n when divided by 25 leaves the remainder

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  3. 2^(60) when divided by 7 leaves the remainder

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  4. If the middle term of ((1)/(x)+xsinx)^(10) is equal to 7(7)/(8) then v...

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  5. If A and B are coefficients of x^(n) in the expansion of (1+x)^(2n) an...

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  6. If the coefficients of 2nd, 3rd and 4th terms in the expansion of (1+x...

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  7. The coefficients of x^(n) in the expansion of (1+x)^(2n) and (1+x)^(2n...

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  8. The two successive terms in the expansion of (1+x)^(24) whose coeffici...

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  9. Given the integers rgt1,ngt2 and coefficients of (3r)th and (r+2)nd te...

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  10. The total number of terms in the expansion of (x+a)^(100)+(x-a)^(100) ...

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  11. The ratio of the coefficient of x^(15) to the term independent of x in...

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  12. The number of terms in the expansion of (a+b+c)^(n), where n in N is:

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  13. The coefficients of x^(p) and x^(q) (p and q are positive integers in ...

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  14. If (1 +x + x^(2))^(n) = a(0) + a(1) x + a(2) x^(2) + … + a(2n) x^(2n) ...

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  15. If the coefficients of x^(7) and x^(8) in (2+(x)/(3))^(n) are equal, t...

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  16. The total number of terms in the expansion of (x+a)^(51)-(x-a)^(51) af...

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  17. If x, y and r are positive integers , then : ""^xCr+""^rC(r-1)""^yC1+^...

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  18. C(0)-C(1)+C(2)-C(3)+ . . .+(-1)^(n)C(n) is equal to

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  19. If (1 +x + x^(2))^(n) = a(0) + a(1) x + a(2) x^(2) + … + a(2n) x^(2n) ...

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  20. If x^(r) occurs in the expansion of (x+(1)/(x))^(n), then is coefficie...

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