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Factorials, Trailing Zeros || Quantitative Aptitude || CAT 2021 || 9 April

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Question 1

With what least number should 36! be divided by so that the quotient is not an even number ?

Question 2

What is the greatest positive integer such that is a factor of ?

Question 3

If the highest power of 4 is 4 in x! and the highest power of 6 is 6 in y!, then for how many pairs of values of x and y, will will also be an integer?

Question 4

Find the number of zeros at the end in the given expression:

2 × 4 × 8 × 10 × 12 × 14 × 16 × --------- × 98.

Question 5

Find the number of zeroes at the expression

Question 6

Find the number of zeroes at the end of the expansion of 1098!

Question 7

Find the number of zeroes at the end of 10 + 100 + 1000 +............+ 100000000:

Question 8

Find the number of zeroes at the end of the product of 100! × 200!

Question 9

Find the number of zeroes at the end of the product 11! × 22! × 33! × 44! ……×1010!

Question 10

Find the number of zeroes at the end of the product

(3123- 3122- 3121) (2121- 2120-2119)

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Jul 14CAT & MBA