What is the Sum of the Distinct Prime Numbers Between 50 and 60? GMAT Problem Solving

Question: What is the sum of the distinct prime numbers between 50 and 60?

1. 104
2. 108
3. 110
4. 112
5. 116

Correct Answer: D

Solution and Explanation:
​Approach Solution 1:

It has asked to find out the sum of prime numbers between 50 and 60.
Between 50 and 60, we can find only two prime numbers.
53 and 59, since all even integers are divisible by 2, and 51 is divisible by 17, 57 is divisible by 19, and so on.

So, 53 + 59 = 112.

Approach Solution 2:

It has asked to find out the sum of prime numbers between 50 and 60.

50 - divisible by 2
51 - divisible by 3
52 - divisible by 2
53 - prime number
54 - divisible by 2
55 - divisible by 5
56 - divisible by 2
57 - divisible by 19
58 - divisible by 2
59 - prime number
60 - divisible by 2

There are only two prime numbers
Sum = 53 + 59 = 112

Approach Solution 3:
There are only 2 prime numbers between 50 and 60.
53 and 59 as 51 is divisible by 17 and 57 is divisible by 19 and all then even integers are divisible by 2.
So, 53+59=112
 

“What is the sum of the distinct prime numbers between 50 and 60?" - is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been borrowed from the book “GMAT Official Guide Quantitative Review”.To understand GMAT Problem Solving questions, applicants must possess fundamental qualitative skills. Quant tests a candidate's aptitude in reasoning and mathematics. The GMAT Quantitative test's problem-solving phase consists of a question and a list of possible responses. By using mathematics to answer the question, the candidate must select the appropriate response. The problem-solving section of the GMAT Quant topic is made up of very complicated math problems that must be solved by using the right math facts.

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