Q. 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?
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
d) The Question cannot be answered even by using both the Statements together.
Correct answer: c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
Question from UPSC Prelims 2024 CSAT Paper
Explanation:
Statement I: The size of the software is 12 megabytes.
Statement II: The transfer rate is 2.4 kilobytes per second.
To calculate the download time, we need both the size of the software and the transfer rate. Let’s see if we can use this information:
1. Statement I alone is not sufficient because we don’t know the transfer rate.
2. Statement II alone is not sufficient because we don’t know the size of the software.
3. Using both statements together:
– Size: 12 megabytes = 12 * 1024 kilobytes = 12,288 kilobytes
– Transfer rate: 2.4 kilobytes per second
– Time required = Size / Transfer rate
= 12,288 / 2.4 = 5,120 seconds (or about 85 minutes and 20 seconds)
Therefore, we can answer the question about the download time only when we use both statements together. Neither statement alone is sufficient to answer the question.