CAT 2021 Inequalities Question (Medium)

Question

For all possible integers satisfying , the number of integer values of is

Accepted Answer

Here is the complete detailed solution with all steps included --- Step 1 Given inequality We are given 2.25 leq 2 2 n 2 leq 202 We need to find integer values of . --- Step 2 Simplify inequality Subtract 2 from all sides 0.25 leq 2 n 2 leq 200 --- Express in terms of 2 n 2 4 cdot 2 n So inequality

CAT 2021

Quantitative

Inequalities

Medium

For all possible integers $n$ satisfying $2.25 \leq 2 + 2^{\,n+2} \leq 202$ , the number of integer values of $3 + 3^{\,n+1}$ is

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