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CAT | Factorials

CAT | Factorials









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Quiz Begins Here

Q #1
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CAT FACTORIAL BASE 6 BASE 8 MATH

A number n! is written in base 6 and base 8 notation. Its base 6 representation ends with 10 zeroes. Its base 8 representation ends with 7 zeroes. Find the smallest n that satisfies these conditions. Also find the number of values of n that will satisfy these conditions.
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Q #2
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CAT Factorial, factors

Given N is a positive integer less than 31, how many values can n take if (n + 1) is a factor of n!?
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Q #3
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CAT Factorials - basic

How many values can natural number n take, if n! is a multiple of 76, but not 79,?
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Q #4
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CAT Factorials - basic

How many values can natural number n take, if n! is a multiple of 220, but not 320?
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Q #5
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CAT Factorials - Trailing zeroes

How many trailing zeroes (zeroes at the end of the number) does 60! have?
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