The average of 8 numbers is 7.5. If one of them is deleted, the average of the remaining 7 numbers becomes 8.5. What is the deleted number?
Correct answer: D. 0.5
- A. 0.2
- B. 0.3
- C. 0.4
- D. 0.5
Explanation
If the eight numbers are a, b, c, d, e, f, g, h. Following equation can be formed (a+b+c+d+e+f+g+h)/8= 7.5 ---- (1) If h is deleted, the equation becomes (a+b+c+d+e+f+g)/7=8.5 (a+b+c+d+e+f+g)= 8.5×7= 59.5 Putting this value in equation (1) ((a+b+c+d+e+f+g) +h)/8= 7.5 (59.5+h)/8=7.5 59.5+h=7.5×8 59.5+h=60 h=60-59.5 h=0.5
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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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