Instructions

Data Sufficiency: In each of the following Questions you find a question followed by two statements labelled (I) and (II). You have to decide whether these statements answer the given questions. Mark your option as

Question 184

What is the total number of divisors of the positive integer n?
I) n is product of distinct numbers.
II) n is the cube of a prime number.

Solution

Statement 1 does not give us any idea of how many distinct numbers and what their powers are which will help us arrive at the number of factors of number n.

However, if statement 2 is true, then $$n=x^3$$ where x is a prime number, then number of factors of n = 3+1 = 4
Hence, statement 2 alone is sufficient.

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What is the total number of divisors of the positive integer n?I) n is product of distinct numbers.II) n is the cube of a prime number.

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What is the total number of divisors of the positive integer n?
I) n is product of distinct numbers.
II) n is the cube of a prime number.