Multiple choice

A sum of money is distributed among four persons A, B, C and D. The average amount they get is Rs 6000. What is the amount 'C gets? I. 'A' and 'C' together get Rs 14000. II. 'B' gets Rs 3000 less then what 'C' gets.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statement together is sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total amount = 4 × 6000 = 24000. Statement I: A + C = 14000, which alone doesn't give C's value. Statement II: B = C - 3000, which alone doesn't give C. Combining: A + B + C + D = 24000, A + C = 14000, B = C - 3000. Substituting: 14000 + (C - 3000) + C + D = 24000, giving 2C + D = 13000. This has multiple solutions - if D = 0 then C = 6500, if D = 1000 then C = 6000. The value of C is not uniquely determined.

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