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CAT 2022 Averages — Previous Year Question

Year

CAT 2022

Section

Quantitative

Topic

Averages

Difficulty

Medium

Question

Slot-1

Given below are two statements:

Statement I : The set of numbers (7, 8, 9, a, b, 10, 8, 7) has an arithmetic mean of 9 and mode (most frequently occurring number) as 8. Then a × b = 120.

Statement II: Let a and b be two positive integers such that a + b + a × b = 84, then a + b = 20.

In the light of the above statements, choose the most appropriate answer from the options given below:

Both Statement I and Statement II are correct

Both Statement I and Statement II are incorrect

Statement I is correct but Statement II is incorrect

Statement I is incorrect but Statement II is correct

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