Six consecutive integers are given. The sum of the first three is 27.What is the sum of the last three?
Correct answer: D. 36
- A. 29
- B. 30
- C. 32
- D. 36
Explanation
Using the number sequence formula a number sequence can be written down for the six consecutive integers; N being the first integer N,N+1,N+2,N+3,N+4,N+5 If the sum of the first three integers = 27 I.e N+N+1+N+2 = 27 3N+3 = 27 3N = 27-3 = 24 N = 24/3 = 8 N = 8 For the sum of last three integers, the formula is; N+3+N+4+N+5 N = 8 i.e. 8 + 3 + 8 + 4 + 8 + 5 = 36
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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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