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UPSC CSE 2024 · PYQ · Data Sufficiency / Quantitative · easy

A Question is given followed by two Statements I and II. Consider the Question 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?

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

Explanation

To compute download time we need both the file size and the transfer rate. Statement I alone gives only size (12 MB) — without a rate, time cannot be computed. Statement II alone gives only rate (2.4 KB/s) — without a size, time cannot be computed. Together: time = size / rate = (12 × 1024 KB) / 2.4 KB/s ≈ 5120 seconds. Hence both statements together are necessary and sufficient, but neither alone suffices. The answer is (c).
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