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CAT 2021 Averages — Previous Year Question

Year

CAT 2021

Section

Quantitative

Topic

Averages

Difficulty

Medium

Question

Slot-1

Given below are two statements Statement I: The set of numbers (5, 6, 7, p, 6, 7, 8, q) has an arithmetic mean of 6 and mode (most frequently occurring number) of 7. Then p × q = 16. Statement II: Let p and q be two positive integers such that p + q + p × q = 94. Then p + q = 20. In light of the above statements, choose the correct answer from the options given below

Both Statement I and Statement II are true

Both Statement I and Statement II are false

Statement I is true but Statement II is false

Statement I is false but Statement II is true

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