CAT 2018 Number System Question (Medium)

Question

The number of integers such that , and is perfectly divisible by either 3 or 4, is TITA

Accepted Answer

Step 1 We are given the inequality 0.25 0.25 4 2 -2 Rightarrow x -2 - Upper bound 2 x 200 Rightarrow x log_2 200 approx 7.64 So integer values of are x in -1, 0, 1, 2, 3, 4, 5, 6, 7 9 values total Step 2 We now need values of such that 2 x 2 is divisible by either 3 or 4. Check each - not integer sk

CAT 2018

Quantitative

Number System

Medium

The number of integers $x$ such that $0.25 < 2^x < 200$ , and $2^x + 2$ is perfectly divisible by either 3 or 4, is [TITA]

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