A set consists of 5 consecutive integers starting from 3 . What is the percentage decrease in the average of the set when the greatest integer is remo - Quantitative Aptitude MCQ Competitive Exam 2026 | ExamTest.live

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A set consists of 5 consecutive integers starting from 3 . What is the percentage decrease in the average of the set when the greatest integer is removed from the set?

Solution & Step-by-step Explanation

The set of 5 consecutive integers starting from 3 is {3, 4, 5, 6, 7} . Initial Average = \frac{3 + 4 + 5 + 6 + 7}{5} = \frac{25}{5} = 5 When the greatest integer (7) is removed, the remaining set is {3, 4, 5, 6} . New Average = \frac{3 + 4 + 5 + 6}{4} = \frac{18}{4} = 4.5 Decrease in the average = 5 - 4.5 = 0.5 . Percentage Decrease = (\frac{Decrease}{Initial Average}) \times 100 = (\frac{0.5}{5}) \times 100 = 10%

Try it yourself before checking the explanation above.

A set consists of 5 consecutive integers starting from 3 . What is the percentage decrease in the average of the set when the greatest integer is removed from the set?

8.5%

10%

11%

12.5%

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