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1. In a group of 5 men, no 2 men have the same age. The eldest man is 50 years old and the youngest is 30 years old. If X years is the average age of the men in the group, which of the following best indicates all and only possible values of X? (All ages are in whole numbers)

  • A. 30 < X < 50
  • B. 30 < X < 50
  • C. 30 < X < 50
  • D. 30 < X < 50

Answer: Option C

Explanation:

There can be 2 possible scenarios

Maximizing X

30,47,48,49,50

Thus, average will be 44.8

Minimizing X

30,31,32,33,50

Thus, average will be 35.2

Check the options, correct Answer must be (E) 35 < X < 45


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