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The remainder when x=5^(5^(5^(......))) ...

The remainder when `x=5^(5^(5^(......)))` (23 times 5) is divided by 24 is

A

1

B

3

C

5

D

23

Text Solution

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The correct Answer is:
C
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PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
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  4. For integer n gt 1, the digit at units place in the number sum(r=0)^(1...

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  5. In the expansion of (1+x+x^2+x^3)^6, the coefficient of x^(14) is

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  6. The coefficient of x^(3l+2) in the expression (a+x)^l(b+x)^(l+1)(c+x)^...

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  8. The digit in the unit place in the number (19)^(2005)+(11)^(2005)-(9)^...

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  9. If n lt p lt 2n and p is prime and N = .^(2n)Cn, then

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  10. If absx lt 2/3 then the 4^(th) term in the expansion of (1+3/2x)^(1/2)...

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  11. The sum of rational in (sqrt2+root(3)(3)+root(6)(5))^10 is equal to

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  12. Let f(x)=a0+a1x+a2x^2+.....+anx^n+....and f(x)/(1-x)=b0+b1x+b2x^2+.......

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  13. If (1-x^2)^n=sum(r=0)^narx^r(1-x)^(2n-r), then ar is equal to

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  14. The largest term in the expansion of (3+2x)^50, where x=1/5, is

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  15. The sixth term in the expansion of {2^(log2root(5)(9^(x-1)+7))+1/2^(1/...

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  16. The value of sum(r=0)^(20)r(20-r)(^(20)Cr)^2 is equal to ?

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  17. The value of sum(r=1)^(n+1)(sum(k=1)^n^kC(r-1)) (where r, k, n in N) i...

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  18. sum(r=0)^(300)arx^r=(1+x+x^2+x^3)^(100). If a=sum(r=0)^(300)ar, then s...

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  19. Coefficient of x^50 in (1+x)^(1000)+2x(1+x)^(999)+3x^2(1+x)^(998)+.......

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  20. C0/2-C1/3+C2/4-C3/5+.... is equal to

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