CAT 2019 Question Paper | Quants Slot 1

CAT Questions

Once in a while in CAT 2019, there were questions that really looked scary. This is one such question which has a couple of algebraic concepts rolled into it. Try taking time out to solve these kind of questions as  part of your CAT Preparation. Practicing more such questions from CAT previous year paper will be most helpful to master such tough questions

Question 24 : If m and n are integers such that (\\sqrt{2}))¹⁹ 3⁴ 4² 9^m 8ⁿ = 3ⁿ 16^m (∜64) then m is

1. -16
2. -24
3. -12
4. -20

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Video Explanation

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Explanatory Answer

This question can be solved by comparing powers of 2 and 3
= (∜64)
=
.= .
. =
Comparing the powers in both sides,
3n + 12 = 4m
4 + 2m = n
Substituting the value of n we get,
3 (4 + 2m) + 12 = 4m
12 + 6m + 12 = 4m
24 = -2m
m = -12

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The question is "If m and n are integers such that (\\sqrt{2}))¹⁹ 3⁴ 4² 9^m 8ⁿ = 3ⁿ 16^m (∜64) then m is "

Hence, the answer is -12

Choice C is the correct answer.

 

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