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If ninN,"then "3^(2n+2)-8n-9 is divisibl...

If `ninN,"then "3^(2n+2)-8n-9` is divisible by

A

574

B

575

C

675

D

674

Text Solution

Verified by Experts

The correct Answer is:
D
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NEW JOYTHI PUBLICATION-BINOMIAL THEOREM-QUESTIONS FROM COMPETITIVE EXAMS
  1. Prove that ""^(10)C(2)+2xx^(10)C(3)+^(10)C(4)=^(12)C(4)

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  2. Let f (x) = [x] , where [x] denotes the greater integer less t...

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  3. If ninN,"then "3^(2n+2)-8n-9 is divisible by

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  4. Let T(n) denote the number of triangles which can be formed by using t...

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  5. The coefficient of the middle term in the expansion of (x + 2y)^(6) is

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  6. Let (1 + x)^(n) = 1 + a(1)x + a(2)x^(2) + ... + a(n)x^(n). If a(1),a(2...

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  7. If the sum of the coefficients in the expansion of (a^(2)x^(2) - 6ax +...

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  8. The sum of coefficients in the expansion of (x^(2) - 1/3)^(199) xx (x^...

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  9. If (1 + ax)^(n) = 1 + 6x + 27/2 x^(2) + ...... + a^(n)x^(n), then the ...

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  10. Which one of the following is true?

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  11. When 2^(1505) is divided by 9, the remainder is

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  12. The term independent of x in the expansion of (x + 1/x^())^(6) is

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  13. The sum of coefficitents in the expansion of (1 + 3x -3x^(2))^(1143) i...

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  14. The constant term in the expansion of [1 - (x - 2)^(2)]^(10 is equal t...

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  15. Let t(n) denote the n^(th) term in a binomial expansion. If t(6)/t(5) ...

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  16. The middle term in the expansion of (10/x + x/10)^(10) is

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  17. The coefficient of x^(49) in the product (x - 1) (x - 2) (x - 3) ........

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  18. The sum of the coefficients in the binomial expansion of (1/x + 2x)^(6...

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  19. The value of ""^(2)P(1) + ^(3)P(1) + ...... + ^(n)P(1) equal to

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  20. The positive integer just greater than (1 + .0001)^(10000) is

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