CAT 2018 Question Paper Shift 1 Solved Paper

Question : 81 of 100

Marks: +1, -0

\log_2(5 + \log_3 a)

= 3 and

\log_5(4a + 12 + \log_2 b)

= 3, then a + b is equal to Options

Solution:

5+\log _{3} a=2^{3}=8 ⇒ a=27

Similarly,

4 a+12+\log _{2} b=5^{3}=125

Since

a=27,4(27)+12+\log _{2} b=125 ⇒ b=32

a+b=59

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