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SSC MTS 2024 PYQ — Question 11

SSC MTS - 08/10/2024 - (4:00 PM - 5:30 PM) • Quantitative Aptitude • Q11

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The average age of 11 players of a cricket team increases by 2 months when two of them, aged 20 years and 21 years, respectively, are replaced by two new players. Find the average age of the two new players (in years).

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Correct answer: B

Explanation

The correct answer is Option 2 i.e. 2151221\frac{5}{12}.

Increase in average = 2 months = 16\frac{1}{6} years

Total increase = 11×16=11611 × \frac{1}{6} = \frac{11}{6} years

Sum of removed players = 20 + 21 = 41

Sum of new players = 41+116=246+116=257641 + \frac{11}{6} = \frac{246 + 11}{6} = \frac{257}{6}

Average age of new players = 2576÷2=25712\frac{257}{6} ÷ 2 = \frac{257}{12} years

Final Answer = 25712\frac{257}{12} = 2151221\frac{5}{12} years