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Question

Logical Reasoning Question on Data Sufficiency

The question is followed by three statements. You have to study the question and all the three statements given and decide whether any information provided in the statements) is redundant and can be dispensed with while answering the question.
A person deposited two sums with a moneylender at 5%\% simple interest for 2 years and 3 years respectively. Find the two sums.
A. The two sums are equal.
B. Difference between the interests is Rs.250.
C. Had the sums been deposited at 5%\% compound interest, the difference would have been Rs.275.60.

A

A and either B or C

B

Only A

C

Only B

D

Any one of them

Answer

A and either B or C

Explanation

Solution

To determine the two sums, we analyze the statements:
Statement A: The two sums are equal, but specific values are not given.
Statement B: The difference in simple interest is Rs. 250, providing a relationship but not the actual sums.
Statement C: The difference in compound interest is Rs. 275.60, also giving a relationship without specific values.
Combinations:
Combination (1): A with either B or C provides enough information to determine the sums, as it combines equality with interest differences.
Combination (2): A alone is insufficient for specific values.
Combination (3): B alone also lacks specific sum values.
Combination (4): Any single statement does not yield enough information.
So, the correct option is (A) A and either B or C.