NIMCET 2026
The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is:
Answer (Detailed Solution Below)View answer ▾Hide ▴
Answer: Option B — 30
Detailed Solution
Make the second term equal: and
First : Second : Third ; total parts
One part , so the second number
Quick tip
Equalise the common term using LCM
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Ratio & Proportion — Preparation
This question tests your understanding of Ratio & Proportion, a key topic in the Quantitative Aptitude section. The detailed solution above uses a step-by-step approach to show the reasoning, and where available, a shortcut that helps you solve similar questions in under 90 seconds during the actual exam.
A ratio compares two quantities of the same kind, and a proportion states that two ratios are equal. This topic covers simplifying and combining ratios, dividing an amount in a given ratio, mean, third and fourth proportionals, and word problems on ages, incomes and expenditures, coins, and mixtures. The ratio method is one of the most useful tools in aptitude. Once quantities are written as multiples of a common factor (such as 3x and 5x), many lengthy problems reduce to a single equation. Ratio thinking also speeds up questions on partnership, time and work, speed and distance, and mixtures and alligation. Practise the ratio and proportion questions below. Each comes with a clear step-by-step solution showing how to set up the ratio and solve it quickly.