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CAT 2000 — QA Question 11

Prime and Composite NumbersEasy

Let S be the set of prime numbers greater than or equal to 2 and less than 100. Multiply all elements of S. With how many consecutive zeros will the product end?

Answer & solution

  • 1

  • B

    4

  • C

    5

  • D

    10

Solution

There is only one even prime number and one prime number ending with 5 (i.e 5 itself) in set S.

When all elements of set S are multiplied, there will be only 1 zero at the end of the product.

Hence, option (a).

CAT 2000 QA Q11: Let S be the set of prime numbers greater than or equal to 2 and less than 100. Multiply all elements of S. Wi — Solution | TheCATExam