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If 100! divisible by 3^n then find the m...

If 100! divisible by 3^n then find the maximum value of n.

A

4

B

9

C

16

D

10

Text Solution

Verified by Experts

The correct Answer is:
B
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ARIHANT SSC-FUNDAMENTALS -LEVEL 1
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  2. If F = a.(|b|).c.(|d|).e.(|f|).g(|h|).i.(|j|) and G = a.b.c. d.e.f.g.h...

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  3. If 100! divisible by 3^n then find the maximum value of n.

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  4. If a fraction is divided by its reciprocal and then multiplied by itse...

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  5. Mr. A starts a business with an investment of Rs. 28,000. Mr. B joins ...

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  6. If (11)^a = (19)^b = (209)^c then the correct relation is :

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  7. The remainder when (2^(54) - 1) is divided by 9 is :

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  8. A number 1 < N < 100 is such that it is a perfect square and perfect c...

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  9. The product of the digits of a three digit number which is a perfect s...

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  10. A natural number N is such that N = a^2 = b^4 = c^8 , where a, b, c ar...

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  11. The possible value of |x| + |x - 1| = 2 is :

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  12. If (pqr)^2 = (ijk pqr), where i,j,k,p,q,r in W, are pqr and ijkpqr are...

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  13. 3^(6n) + 4^(6n) is necessarily divisible by 25 when :

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  14. The number of zeros at the end of 100!, is

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  15. the greatest power of 3, when 41 ! Is expressed in prime factors :

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  16. A two digit number is such that it is the product of the two distinct ...

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  17. The value of the expression 7777 + 7777 xx 7777 xx (5 div 77) xx (1...

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  18. The sum and difference of a number with its reciprocal are 113/56 and ...

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  19. If 4 is added to the numerator of a fraction, it becomes 1/3 and if 3 ...

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  20. In an opera house, there are 7777 chairs to be placed, but the organis...

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