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The remainder when 9^(49)+7^(49) is divi...

The remainder when `9^(49)+7^(49)` is divide by 64 is __________

A

24

B

8

C

16

D

38

Text Solution

Verified by Experts

The correct Answer is:
C
(i) `(8+1)^(49)+(8-1)^(49)`
(ii) Use the binomial expansion `(x+y)^(n)+(x-y)^(n)` and simplify
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PEARSON IIT JEE FOUNDATION-MATHEMATICAL INDUCTION AND BIONOMIAL THEOREM-LEVEL 2
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  2. The remainder when 9^(49)+7^(49) is divide by 64 is

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  3. If p(n)=(n-2)(n-1)n(n+1)n(n+2), then greatest number which divides p(n...

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  4. If a,b and n are natural numbers then a^(2n-1)+b^(2n-1) is divisible b...

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  5. Find the coefficient of the independent term in the expansion of (x^(1...

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  6. Find the term which has the exponent of x as 8 in the expansion of (x...

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  7. The greatest number which divides 25^(n)-24n-1 for all n in N is

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  8. If three consective coefficient in the expansion of (1+x)^(n), where n...

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  9. Find the value of k for which the term independent of x in (x^(2)+(k)/...

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  10. Find the coefficient of x^(7) in the expansion of (7x+(2)/(x^(2)))^(13...

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  11. The value of (sqrt(5)+2)^(6)+(sqrt(5)-2)^(6) is

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  12. The ratio of the coefficients of x(4) to that of the term independent ...

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  13. sum(r=2)^(16) ""^(16)C(r)=

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  14. Number of non-zero terms in the exapansion of (5sqrt(5)x+sqrt(7))^(6)+...

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  15. Find the value of (98)^(4) by using the binomial theorem.

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  16. If the number of terms in the expansion (2x+y)^(n)-(2x-y)^(n) is, 8 th...

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  17. If the expansion (2x^(5)+(1)/(3x^(4)))^(n) contains a term independen...

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  18. Find the sum of the coefficients in the expansion of (5x^6-4/(x^9))^(1...

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  19. 49^(n)+16n-1 is an divisible by (n in N)

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  20. Find the coefficient of x^(11) in the expansion of (1+2x+x^(2))^(6)

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