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CAT 2018 Slot 2 — QA Question 21

LogarithmsEasy

If p3 = q4 = r5 = s6, then the value of logs(pqr) is equal to

Answer & solution

  • 47/10

  • B

    16/5

  • C

    24/5

  • D

    1

Solution

Given, p3 = q4 = r5 = s6 = k

⇒ p3 = k
⇒ p = k1/3

Similarly,
q = k1/4
r = k1/5
s = k1/6

pqr = k1/3 × k1/4 × k1/5 = k1/3 + 1/4 + 1/5 = k47/60

Now, logs(pqr) = logk1/6 k47/60 = 47/10

Hence, option (a).

CAT 2018 Slot 2 QA Q21: If p 3 = q 4 = r 5 = s 6 , then the value of log s (pqr) is equal to — Solution | TheCATExam