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SSC CHSL 2023 PYQ — Question 22

SSC CHSL Tier II - 02 Nov 2023 - Shift 1 • Quantitative Aptitude • Q22

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If 0.08×0.8×p3=0.008×0.8×q3\sqrt[3]{0.08\times0.8\times p}=0.008\times0.8\times \sqrt[3]{q}, then find the value ofpq\frac{p}{q}:

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Correct answer: D

Explanation

The correct answer is option 4. i.e. 84 × 10-9

GIven that

If 0.08×0.8×p3=0.008×0.8×q3\sqrt[3]{0.08\times0.8\times p}=0.008\times0.8\times \sqrt[3]{q},

⇒ 82/3 × 10-1 × p3 \sqrt[3]{p} = 82 × 10-4 × q3 \sqrt[3]{q}

⇒p/q3 \sqrt[3]{p/q} = 82-2/3 × 10-3 = 84/3 × 10-3

⇒ p/q = 84 × 10-9