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CAT 2023 Slot 3 · Quant · Averages · easy

The average marks of 40 students in a class is 62. When 10 more students join the class, the average marks of all 50 students becomes 64. What is the…

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The average marks of 40 students in a class is 62. When 10 more students join the class, the average marks of all 50 students becomes 64. What is the average marks of the 10 new students?
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Answer: 72

Total marks of original 40 students = 40×62 = 2480. Total marks of all 50 students = 50×64 = 3200. Total marks of the 10 new students = 3200 − 2480 = 720, so their average = 720/10 = 72.
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