Six people each shake hands with every other person exactly once. How many handshakes take place?
Correct answer: B. 15 handshakes
- A. 12 handshakes
- B. 15 handshakes
- C. 18 handshakes
- D. 30 handshakes
Explanation
Each of the 6 people can shake hands with 5 others, giving 30 counted hand contacts. Every handshake was counted twice, so 30 divided by 2 equals 15.
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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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