If m Lies Between The Integers p and s On the Number Line Shown GMAT Problem Solving

Question: If m lies between the integers p and s on the number line shown, which of the following is a possible value for m?

1. √17
2. 4√4
3. 2.9
4. \(\frac{20}{4}\)
5. \(\frac{10}{3}\)

“If m lies between the integers p and s on the number line shown”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Official Guide 2020 Quantative Review”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.

Solution and Explanation:

Approach Solution 1:

This question can be solved by only one approach.

It is asked which of the following is a possible value for m, If m lies between the integers p and s on the number line shown,
There is only one approach to solve this question
Since p and s are integers, we can infer the following from the diagram:
p = 3
s = 4
This means
3 < m < 4
the only answer choice which is left in this range is option E.
\(\frac{10}{3}\)= 3.3
The answer is \(\frac{10}{3}\)

Correct Answer: E

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