UPSC Prelims 2018·CSAT·Quantitative Aptitude·Arithmetic

A lift has the capacity of 18 adults or 30 children. How many children can board the lift with 12 adults?

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Last updated 23 May 2026, 3:31 pm IST
  1. A6
  2. B10Correct
  3. C12
  4. D15

Explanation

The lift's capacity is 18 adults or 30 children. This means 18 adults are equivalent to 30 children in terms of capacity. 1. Establish the equivalence: 18 adults = 30 children Divide both sides by 6 to simplify the ratio: 3 adults = 5 children 2. Calculate the capacity used by 12 adults: We have 12 adults. To find their equivalent in children, we can use the ratio: Since 3 adults = 5 children, 1 adult = 5/3 children So, 12 adults = 12 * (5/3) children = 4 * 5 children = 20 children. This means 12 adults occupy the same capacity as 20 children. 3. Calculate the remaining capacity for children: The total capacity of the lift is 30 children. If 12 adults (equivalent to 20 children) are already in the lift, the remaining capacity for children is: 30 children (total capacity) - 20 children (capacity used by adults) = 10 children. Therefore, 10 children can board the lift with 12 adults. The final answer is B) 10.
Quantitative Aptitude: A lift has the capacity of 18 adults or 30 children. How many children can board the lift with 12 adults?

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