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Very hard

How many numbers from 1 through 100 are divisible by 3 or by 5, but not by both?

Correct answer: B. 41

  • A. 37
  • B. 41
  • C. 47
  • D. 53

Explanation

There are 33 multiples of 3 and 20 multiples of 5. Six multiples of 15 belong to both groups, so exclude them from each group: 33 − 6 + 20 − 6 = 41.

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About Quantitative Reasoning

Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.

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