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SSC CHSL 2023 PYQ — Question 64

SSC CHSL - 10 March 2023 - Shift 3 • Quantitative Aptitude • Q64

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Which of the following is the smallest among (14)13,(12)12,(16)16(14)^\frac{1}{3},(12)^\frac{1}{2},(16)^\frac{1}{6}&(25)112(25)^\frac{1}{12}?
 

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Correct answer: B

Explanation

The correct answer is option 2 i.e. (25)112(25)^\frac{1}{12}.

LCM of 2, 3, 6, 12 = 12

(14)1/3 = (14)12/3 = 144

(12)1/2 = (12)12/2 = 126

(25)1/12 = (25)12/12 = 25

(16)1/6 = (16)12/6 = 162 = 256

Hence, the smallest expression is 2511225^{\frac{1}{12}}.