# CAT 2018 Question Paper | Quants Slot 1

###### CAT Previous Year Paper | CAT Logarithms Questions | Question 27

This is an Easy-Medium level difficulty question from Logarithms that appeared in CAT 2018 Question Paper. Logarithm is one of the topics where you can score easily and this question is an example of that. Solve these types of questions to master your CAT Preparation Online and the CAT Exam.

Question 27 :If log2(5 + log3a) = 3 and log5(4a + 12 + log2b) = 3, then a + b is equal to

1. 32
2. 59
3. 67
4. 40

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##### Method of solving this CAT Question from Logarithms

We know that if logqp = r then p = qr
Given log2(5 + log3a) = 3
5 + log3a = 23
log3a = 3
a = 33 = 27
Similarly, 4a + 12 + log2b = 53
4a + log2b = 113
log2b = 5
b = 25 = 32
a + b = 27 + 32 = 59

The question is "If log2(5 + log3a) = 3 and log5(4a + 12 + log2b) = 3, then a + b is equal to"

##### Hence, the answer is 59

Choice B is the correct answer.

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