Multiple choice

The question given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? Mark answer- A certain amount of money is distributed among four persons A, B, C and D. The average amount each person got is Rs 10,000. How much did 'A' get? I. The sum of money A and B got together is Rs 35000. II. 'C got Rs 1000 less than what 'D' got.

  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 money = 4 × 10000 = 40000. Statement I: A + B = 35000 (insufficient alone). Statement II: C = D - 1000 (insufficient alone). Together: A + B + C + D = 40000 and C + D = 40000 - 35000 = 5000. From C = D - 1000 and C + D = 5000, we get C = 2000, D = 3000. But A + B = 35000 could be distributed in infinite ways (e.g., A=10000,B=25000 or A=15000,B=20000). Hence insufficient.