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For all natural number of n, 2^(2n).3^(2...

For all natural number of n, `2^(2n).3^(2n)-1-35n` is divisible by

A

`(35)^(3)`

B

`(35)^(2)`

C

`(35)^(4)`

D

`(35)^(5)`

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AAKASH INSTITUTE ENGLISH-BINOMIAL THEOREM-Assignment (section-A)
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  2. (1.003)^(4) is nearby equal to

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  3. The nubmber of non - zeroes terns in the expansion of (1+sqrt(5))^(6)+...

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  4. The number of non -zeroes terms in the expansion of (sqrt(7)+1)^(75)-(...

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  5. The number of terms in the expansion if (a+b+c)^(12) is

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  6. Two consecutive terms in the expansion of (3+2x)^74 have equal coeffic...

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  7. If the coefficients of rth, (r+ 1)th and (r + 2)th terms in the expa...

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  8. Cofficient of x^(3)y^(10)z^(5) in expansion of (xy+yz+zx)^(6) is

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  9. The ratio of coefficients x^(3) and x^(4) in the expansion of (1+x)^(1...

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  10. Given the integers r gt 1, n gt 2 and coefficients of (3r) th and (r+2...

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  11. Find the coefficient of x^5 in the expansion of (1+x^2)^5(1+x)^4.

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  12. If (r+1)^(th) term in the expasnion of (a^(3)/3-2/a^(2))^(10) contains...

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  13. Find n and x in the expansion of (1 + x)^n, if the fifth term is four ...

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  14. Cofficients of x^(6)y^(3) in the expansion of (x+y)^(9) is

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  15. The number of terms in the expansion of (4x^(2) + 9y^(2) + 12xy)^(6) ...

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  16. The middle term in the expansioin of (2x-1/3x)^(10) is

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  17. The coefficient of the term independent of x in the expansion of (a x+...

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  18. Find the middle term in the expansion of (x- 1/(2x))^12

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  19. The value of .^(13)C(7)+.^(13)C(8)+.^(13)C(9)+.^(13)C(10)+.^(13)C(11)+...

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  20. For all natural number of n, 2^(2n).3^(2n)-1-35n is divisible by

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