GATE 2011
March 13, 2025GATE 2010
March 13, 2025GATE 2011
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Question 56
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If Log (P) = (1/2) Log (Q) = (1/3) Log (R), then which of the following options is TRUE?
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P2 = Q3R2
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Q2 = PR
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Q2 = R3P
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R = P2Q2
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Question 56 Explanation:
logP = 1/2 logQ = 1/3 log (R) = k
∴ P = bk, Q = b2k, R = b3k
Now, Q2 = b4k = b3k bk = PR
∴ P = bk, Q = b2k, R = b3k
Now, Q2 = b4k = b3k bk = PR
Correct Answer: B
Question 56 Explanation:
logP = 1/2 logQ = 1/3 log (R) = k
∴ P = bk, Q = b2k, R = b3k
Now, Q2 = b4k = b3k bk = PR
∴ P = bk, Q = b2k, R = b3k
Now, Q2 = b4k = b3k bk = PR