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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
A bus starts from its depot filled to seating capacity. It stops at a point A where 1/6th of the passengers alight and 10 board the bus. At point B, 1/5th of the passengers alight and 3 board the bus. At point C which is the last stop, all the 55 passengers alight. The capacity of the bus is
Solution
Let the number of children = n
Total sweets = 405
Each child gets = \( \frac{405}{n} \) sweets
Given: Each child’s sweets = \( \tfrac{1}{5} \) of the number of children
⇒ \( \frac{405}{n} = \frac{n}{5} \)
Cross multiply:
\( 405 \times 5 = n^2 \)
⇒ \( n^2 = 2025 \)
⇒ \( n = \sqrt{2025} = 45 \)
✅ Final Answer: The number of children = 45
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