The Product of the Five Smallest Two-Digit Prime Numbers GMAT Problem Solving

Question: The product of the five smallest two-digit prime numbers is closest to which of the following powers of 10?

1. 10^9
2. 10^8
3. 10^7
4. 10^6
5. 10^5

‘The product of the five smallest two-digit prime numbers is closest to which of the following powers of 10?’ is the topic from GMAT quantitative reasoning section. It tests the candidate's ability to solve mathematical and quantitative problems, interpret graph data, and mathematical reasoning. The quantitative section of the GMAT exam consists of 31 questions. This topic from the GMAT Quant section has five options to answer from. The candidate has to choose the correct option from the given options. GMAT Problem-solving question type in GMAT Quantitative analyses candidates' logical and analytical reasoning skills. In this section, candidates indicate the best five answer choices.

Answer: D

Solution and Explanation 

This question can be solved by only one approach.

It is asked in the question to find out the product of the five smallest two-digit prime numbers is closest to which of the following powers of 10.
There are five options given of which only one is correct.
It should be noted that the question says find the product of five smallest two digit prime numbers.
The smallest two-digit prime number is 11.
After that comes 13, 17, 19, 23
Taking the product of these numbers we get,
11 * 13 * 17 * 19 * 23
This is nearly equal to 10 * 10 * 20 *20 * 20 = 8 * 105
This number is closest to the 6th power of ten.
Therefore the correct answer will be option D.

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