Reasoning : Logical Reasoning & Analytical Ability

Q 221 / 325

UPSC CSE Prelims 2015

Each of A, B, C and D has ₹100. A pays ₹ 20 to B, who pays ₹10 to C, who gets ₹ 30 from D. In this context, which one of the following statements is not correct?

EXPLANATION

Correct Option (C)

The final amounts held by each individual are determined through a sequence of transactions:

  • Initially, A, B, C, and D each have ₹100.
  • A pays ₹20 to B: A has ₹80, B has ₹120. C and D remain at ₹100.
  • B pays ₹10 to C: B has ₹110, C has ₹110. A remains at ₹80, D at ₹100.
  • C gets ₹30 from D: C has ₹140, D has ₹70. A remains at ₹80, B at ₹110.

Thus, the final amounts are: A = ₹80, B = ₹110, C = ₹140, D = ₹70.

Evaluating Option (C): "C has more than what A and D have together."

  • C's amount: ₹140
  • Combined amount of A and D: ₹80 + ₹70 = ₹150

Since ₹140 is not greater than ₹150, the statement is incorrect. Therefore, Option (C) is the correct answer as the question asks for the statement that is not correct.

Incorrect Options:

Based on the final amounts (A = ₹80, B = ₹110, C = ₹140, D = ₹70):

Option (A): "C is the richest."

  • C has ₹140, which is the highest amount among A (₹80), B (₹110), and D (₹70). This statement is correct.

Option (B): "D is the poorest."

  • D has ₹70, which is the lowest amount among A (₹80), B (₹110), and C (₹140). This statement is correct.

Option (D): "B is richer than D."

  • B has ₹110, and D has ₹70. Since ₹110 is greater than ₹70, B is richer than D. This statement is correct.