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MPSC State Service 2021 · CSAT · Question 51 of 73

The average age of persons A, B, C and D is 30 years. Determine the age of D. Data statements : I. The sum of ages of A and C is 60 years. II. D is 10 years younger than A. Select the correct option with respect to getting solution to stated problem.

Quantitative Aptitude

  1. AData provided in the statement I alone or statement II alone is sufficient.
  2. BData provided in the statement I and II together is sufficient.
  3. CData provided in the statement I alone is sufficient and statement II is not necessary.
  4. DData provided in the statement I and II is not sufficient.Correct

Answer: D. Data provided in the statement I and II is not sufficient.

Explanation

Average 30 means total 120. With A+C=60, B+D=60; D=A-10 alone can't fix D. Even together, D remains undetermined without more data; the key's answer is (d).

Source: MPSC Rajyaseva Prelims 2021 – CSAT Paper II (Set D), official paper

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