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UPSC Prelims 2024CSATLogical ReasoningData Sufficiency

Q60. A Question is given followed by two Statements I and
II. Consider the Questions and the Statements. Question : What is the time required to download the software? Statement-I : The size of the software is 12 megabytes. Statement-II : The transfer rate is 2.4 kilobytes per second.

Which one of the following is correct in respect of the above Question and the Statements?

A. The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone
B. The Question can be answered by using either Statement alone
C. The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone✓ Correct
D. The Question cannot be answered even by using both the Statements together

Detailed Solution

✓ Correct Answer: Option C

To calculate the time required to download software, we need two pieces of information: the total size of the software and the rate at which it can be transferred. - **Statement I alone**: Provides only the size of the software (12 megabytes).

Without knowing the transfer rate, we cannot determine the time. Thus, Statement I alone is insufficient. - **Statement II alone**: Provides only the transfer rate (2.4 kilobytes per second).

Without knowing the size of the software, we cannot determine the time. Thus, Statement II alone is insufficient. - **Combining both statements**: We have the software size (12 megabytes) and the transfer rate (2.4 kilobytes per second).

To calculate the time, we need to convert units to be consistent. Assuming 1 megabyte = 1000 kilobytes (a common simplification in CSAT, though technically 1024 KB): Software size = 12 MB = 12 * 1000 KB = 12000 KB.

Transfer rate = 2.4 KB/s. Time = Total Size / Transfer Rate = 12000 KB / 2.4 KB/s = 5000 seconds. Since a unique time can be calculated using both statements together, but not individually, option (C) is correct. This question tests data sufficiency in a practical context.

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