Mathematical Aptitude MCQ - Averages

Correct AnswerOption B
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First statement is not sufficient to answer the question because the speed of the second half of the distance is not given here but statement II can answer as information to calculate average speed = distance/time is given in the statement.
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Correct AnswerOption B
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Time taken by B to reach destination = 350/50 = 7 hours
If A has a head start of 1 hour then the distance travelled by A when B reaches the destination
= 40 × (7 + 1) = 320 km
Hence, A has to still travel 30 km while B has reached the destination.
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Correct AnswerOption D
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Distance travelled in 2 hours = 35 × 2 = 70 km
Distance travelled in next 3 1/2 hours = 60 × 3.5 = 210 km
Distance travelled in next 2 1/2 hours = 70 × 2.5 = 175 km
Total distance = 70 + 210 + 175 = 455 km
Average speed = Total distance/Total time taken = (70 + 210 + 175)/(2 + 3.5 + 2.5) = 455/8 = 56.87 kmph
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Correct AnswerOption A
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The present total age of husband and wife = 2 × (22 + 5) = 54 years
Total age of family (including child) = 54 + 3 = 57 years
Average age of family = 57/3 = 19 years
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Correct AnswerOption B
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Monthly saving = 3600/12 = Rs 300
Hence, monthly expenditure = income − saving = 1400 – 300 = Rs 1100
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