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Question

Quantitative Aptitude Question on Logarithms

If p3 = q 4 = r5 = s6 , then the value of logs(pqr) is equal to

A

16/5

B

1

C

24/5

D

47/10

Answer

47/10

Explanation

Solution

The correct answer is (D):
Let p3 = q4 = r5 = s6 = k
p = k1/3, q = k1/4, r = k1/5, s = k1/6
pqr = k(20+15+12/60) = k47/60
logs(pqr) = logk1/6k47/60
= (47/60×6)logkK
= 47/10