Question: The number of prime numbers divisible by 2 plus the number of prime numbers divisible by 3 is

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4

Correct Answer: C
Solution and Explanation:
Approach Solution 1:
To find:

• The sum of the number of prime numbers divisible by 2 and the number of prime numbers divisible by 3.

As per the definition of prime number, a prime number is only divisible by 1 and the number itself.

• Hence, the prime number divisible by 2 is 2 itself.
• Similarly, the prime number divisible by 3 is 3 itself.

Approach Solution 2:
A prime number is divisible only by itself and 1(which is not prime).
Hence 2 divides 2 and 3 divides 3.
thus 1+1 = 2

Approach Solution 3:
In order to find a prime number bigger than 40 is by using the general formula n2+n + 41, where n is any one of the natural numbers 0, 1, 2,..., 39. The prime number that may be divided by two, then, is two. Only three, a prime number, may be divided by three. Therefore, option C is the appropriate response.

“The number of prime numbers divisible by 2 plus the number of prime”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book "The Official Guide for GMAT Review".To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. GMAT Quant practice papers improve the mathematical knowledge of the candidates as it represents multiple sorts of quantitative problems.

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