IPMAT Question Paper 2021 | IPM Indore Quantitative Ability

IPMAT 2021 Question Paper IPM Indore Quantitative Ability. Solve questions from IPMAT 2021 Question Paper from IPM Indore and check the solutions to get adequate practice. The best way to ace IPMAT is by solving IPMAT Question Paper. To solve other IPMAT Sample papers, go here: IPM Sample Paper

Question 12 : Suppose that log₂[log₃ (log₄a)] = log₃ [log₄ (log₂b)] = log₄ [log₂ (log₃c)] = 0 then the value of a + b + c is

1. 105
2. 71
3. 89
4. 37

Video Explanation

Explanatory Answer

log₂[log₃ (log₄a)] = log₃ [log₄ (log₂b)] = log₄ [log₂ (log₃c)] = 0
Let us take log₂[log₃ (log₄a)] = 0
log₃ (log₄a) = 2⁰ = 1 [ since log_nM = k ⇒ M = n^k]
log₃ (log₄a) = 1
log₄a = 3¹ = 3
log₄a = 3
a = 4³ = 64
Now let us take log₃ [log₄ (log₂b)] = 0
log₄ (log₂b)] = 1
log₂b = 4
b = 2⁴ = 16
Now let us take last part log₄ [log₂ (log₃c)] = 0
log₂ (log₃c) = 1
log₃c = 2
c = 3² = 9
Therefore the value of a + b + c = 64 + 16 + 9 = 89

The answer is '89'

Choice C is the correct answer.

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