# CAT 2021 Question Paper | Quant Slot 2

###### CAT Previous Year Paper | CAT Quant Questions | Question 2

CAT 2021 Quant was dominated by Arithmetic followed by Algebra. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 2 : If log2[3 + log3{4 + log4(x - 1)}] - 2 = 0 then 4x equals

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log2[3+log3{4+log4(x-1)}]- 2= 0
log2[3 + log3{4 + log4(x - 1)}] = 2
3 + log3{4 + log4(x - 1)} = 4 ( ∵ logaN = x ⇒ N = ax )
log3{4 + log4(x - 1)} = 1
4 + log4(x - 1) = 3
log4(x - 1) = -1
x - 1 = $$frac{1}{4}$ 4x = 5 The question is " If log2[3 + log3{4 + log4$x - 1)}] - 2 = 0 then 4x equals "

##### Hence, the answer is '5'

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