Question: Of the following expressions, which one has the smallest value?

(A) 2(3^2)/7^2
(B) 10(3^2)/7^3
(C) 5(3^3)/7^3
(D) 100(3^2)/7^4
(E) 25(3^3)/7^4

Correct Answer: B
Solution and Explanation:

Approach Solution 1:
Higher the denominator and Lower the numerators= lowest value
B= 90/343= 0.26

Approach Solution 2:
The result of B is 90/343 which is smaller than 1.
B is 90/343, since 90/245 > 90/343 because the denominator is smaller.
Choice B makes the right answer.

Approach Solution 3:

Convert to a common denominator
Compare numerators

Once every fraction has denominator of 7^4, numerators going to be:
(A) 98*3^3
(B) 70*3^2
(C) 105*3^2
(D) 100*3^2
(E) 75*3^2

Option B has the smallest numerator.

“Of the following expressions, which one has the smallest value?”- is a topic of the GMAT Quantitative reasoning section of GMAT. 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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