UPSC Prelims 2015·CSAT·Quantitative Aptitude·Arithmetic

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

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  1. AC is the richest
  2. BD is the poorest
  3. CC has more than what A and D have togetherCorrect
  4. DB is richer than D

Explanation

Let's track the money each person has after the transactions: Initial amounts: A = 100 B = 100 C = 100 D = 100 1. A pays Rs 20 to B: A = 100 - 20 = 80 B = 100 + 20 = 120 C = 100 D = 100 2. B pays Rs 10 to C: A = 80 B = 120 - 10 = 110 C = 100 + 10 = 110 D = 100 3. C gets Rs 30 from D: A = 80 B = 110 C = 110 + 30 = 140 D = 100 - 30 = 70 Final amounts: A = 80 B = 110 C = 140 D = 70 Now let's analyze each statement: A) C is the richest: C has 140, which is the highest amount. This statement is CORRECT. B) D is the poorest: D has 70, which is the lowest amount. This statement is CORRECT. C) C has more than what A and D have together: C has 140. A and D together have 80 + 70 = 150. 140 is NOT more than 150. This statement is NOT CORRECT. D) B is richer than D: B has 110, D has 70. 110 is greater than 70. This statement is CORRECT. The question asks for the statement that is NOT correct. Therefore, option C is the answer. The final answer is C
Quantitative Aptitude: Each of A, B, C and D has Rs 100. A pays Rs 20 to B, who pays Rs 10 to C, who gets Rs 30 from D. In this context, which

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