GATE 2011 CS (CS1) – Question 10

General Aptitude · Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation · 2 marks · Multiple choice

A container holds ten litres of pure spirit. Remove one litre and replace it with water, then repeat this mixture-removal/replacement twice more. How much spirit remains?

7.58 litres
7.84 litres
7 litres
7.29 litres

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Show answer and explanation

Correct answer: (D) 7.29 litres

Explanation

Each well-mixed replacement retains 9/10 of the spirit present. After three operations the spirit volume is 10(9/10)³=7.29 litres, D. The removed later litres contain both spirit and water, so simple subtraction of three litres would be wrong.

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