MAH MCA CET 2024
If 2 cats catch 2 mice in 2 minutes, how many cats are needed to catch 18 mice in 18 minutes?
Answer (Detailed Solution Below)View answer ▾Hide ▴
Answer: Option A — 2
Detailed Solution
2 cats catch 2 mice in 2 minutes, so 1 cat catches 1 mouse in 2 minutes.
In 18 minutes one cat catches mice.
Cats needed .
✓ Check
2 cats 9 mice each mice in 18 minutes. The new situation is the old one with both the mice and the time multiplied by 9, so the number of cats does not change.⚠ Common trap
The source key (C), 6 cats, is wrong: 6 cats would catch mice in 18 minutes, three times too many.Quick tip
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Time & Work — Preparation
This question tests your understanding of Time & Work, 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.
Time and work questions deal with how long one or more people, machines or pipes take to complete a task. The core idea is that if someone finishes a job in n days, they complete 1/n of the job each day. Questions involve people working together, joining or leaving partway, working on alternate days, efficiency comparisons, and wages shared in proportion to work done. Pipes and cisterns questions use the same logic and have their own page. The LCM method is the fastest approach for most questions. Take the total work as the LCM of the individual times, find each person's work per day, and the rest becomes simple division. This avoids messy fractions and makes problems with three or more workers much easier to handle. Practise the time and work questions below. Each solution shows the step-by-step working and the LCM shortcut where it helps.