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SSC Selection Post 2022 PYQ — Question 74

SSC Selection Post - Graduation Level - 1 Aug 2022 - Shift 4 • Quantitative Aptitude • Q74

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If 2x = 3y = 6z , then is 1/x + 1/y - 1/z equal to :

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 0.

Let 2x = 3y = 6z = k

2 = k(1/x); 3 = k(1/y); and 6 = k(1/z)

So, k(1/z) = k(1/x) × k(1/y)

⇒ k(1/z) = k(1/x + 1/y)

⇒ 1/z = 1/x + 1/y

⇒ 1/x + 1/y - 1/z = 0