CAT 2020 Inequalities Question (Hard)

Question

Let m and n be natural numbers such that n is even and 0.2 , , 0.5. Then m - 2n equals

Accepted Answer

Step 1 Analyze 0.2 20 0.5 quad Longrightarrow quad 4 m 10 Since is a natural number m in 5, 6, 7, 8, 9 --- Step 2 Analyze 0.2 11 0.5 quad Longrightarrow quad 2.2 n 5.5 Since is an even natural number n 4 --- Step 3 Analyze 0.2 m 0.5 quad Longrightarrow quad 0.2 m 0.5 Compute for possible values of i

CAT 2020

Quantitative

Inequalities

Hard

Let m and n be natural numbers such that n is even and 0.2 < $\frac{m}{20}$ , $\frac{n}{m}$ , $\frac{n}{11}$ < 0.5. Then m - 2n equals

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