CAT 2018 Ratio, Proportion and Variation Question (Medium)

Question

The number of boys in a school was 30 more than the number of girls. Subsequently, a few more girls joined the same school. Consequently, the ratio of boys and girls became 3 5. Find the minimum number of girls, who joined subsequently. Assume that there was at least 1 girl at the start.

Optima Learn · Accepted Answer

Let the initial number of girls be g, where g ge 1. Then initial boys g 30. Let x girls join subsequently, so final girls g x. Given final ratio g x 5 Cross-multiply 5 g 30 3 g x 5g 150 3g 3x 2g 150 3x So, x 3 To minimize x, we need the smallest positive integer g with g ge 1 that makes 2g 150 divis

CAT 2018 Ratio, Proportion and Variation — Previous Year Question

CAT 2018

Quantitative

Ratio, Proportion and Variation

Medium

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