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If x varies inversely as y and x = 2 when y = 6, then the value of y when x = 3 is:

SSC · 2024 · Quantitative Aptitude
Question:
If x varies inversely as y and x = 2 when y = 6, then the value of y when x = 3 is:

Options

(1) 2
(2) 3
(3) 4
(4) 6
Answer: (3) 4

Explanation:
x × y = k. 2 × 6 = 12. When x = 3, 3 × y = 12, so y = 4.

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