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In the expansion of (x^3-1/x^2)^n, n in ...

In the expansion of `(x^3-1/x^2)^n, n in N` if sum of the coefficients of `x^5` and `x^(10)` is 0 then `n` is

A

455

B

105

C

605

D

120

Text Solution

Verified by Experts

The correct Answer is:
D
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MCGROW HILL PUBLICATION-MATHEMATICAL INDUCTION AND BINOMIAL THEOREM-Questions from Previous Years. B-Architecture Entrance Examination Papers
  1. In the expansion of (x^3-1/x^2)^n, n in N if sum of the coefficients o...

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  2. If (1 + x) (1 + x + x^(2)) (1 + x + x^(2) + x^(3)) .... (1 + x + x^(2)...

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  3. If the 7th terms from the beginning and end in the expansion of ( root...

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  4. The remainder when 7^(128) is divided by 10 is

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  5. The value of the sum sum(j=0)^(8)1/((j+1)(j+2))(8/j) is

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  6. If x^(n)=a(0)+a(1)(1+x)+a(2)(1+x)^(2)+….+a(n)(1+x)^(n)=b(0)+b(1)(1-x)+...

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  7. If the third term in the expansion of (1/x+"""x"(log)(10 x))^5 is 1000...

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  8. If the sum of the coefficients in the expansion of (x +y)^(n) is 2048,...

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  9. If (1+x+x^(2))^(8)=a(0)+a(1)x+a(2)x^(2)+…a(16)x^(16) for all values of...

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  10. Coefficient of t^(24) in (1+t^(2))^(12)(1+t^(12))(1+t^(24)) is :

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  11. Sum of the last 30 coefficients of powers of x in the binomial expansi...

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  12. If in the expansion of (1+x)^m (1-x)^n, the coefficients of x and x^2 ...

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  13. For a positive integer n, if the mean of the binomial coefficients in...

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  14. If the digits at ten's and hundred's places in (11)^(2016) are x and y...

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  15. Let t(r) denote the rth term in the binomial expansion of (a + 1)^(50)...

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  16. Let (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)++….+C(n)x^(n) where C(r)=""^(n)C(r)...

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  17. For beta ne 0, if the coefficient of x^(3) in the binomial expansion o...

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  18. What is the sum of all the coefficients in the expansion of (1+x)^(n) ...

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  19. If r is the remainder obtained on dividing 98^(5) by 12, then the coef...

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  20. The coefficient of x^(5) in the expansion of (1-x)((x^(3)-6)/(2x^(2)))...

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