Question Details

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?

Options

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

Show Answer

Correct Answer :

Option C

The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone

Solution :

The correct option is: The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.


Step-by-Step Explanation:


To find the time required to download a software, we need to know two main parameters:
1. The total size of the software file.
2. The transfer rate (download speed) of the connection.


The relationship between these variables is given by the formula:
Time=Total SizeTransfer Rate


Let's analyze the statements provided:


Analyzing Statement-I alone:
Statement-I gives the size of the software as 12 megabytes (MB). However, we do not know the transfer rate. Without the speed of the download, we cannot calculate the time required. Therefore, Statement-I alone is not sufficient to answer the question.


Analyzing Statement-II alone:
Statement-II gives the transfer rate as 2.4 kilobytes per second (KB/s). However, we do not know the total size of the software file. Without knowing the file size, we cannot calculate the time required. Therefore, Statement-II alone is not sufficient to answer the question.


Combining Statement-I and Statement-II together:
When we use both statements together, we have both the total size of the software (12 megabytes) and the transfer rate (2.4 kilobytes per second). Using these, we can calculate the exact time:
First, convert the software size from megabytes to kilobytes:
Since 1 megabyte (MB) = 1000 kilobytes (KB) or 1024 kilobytes (KB) depending on the standard definition (e.g., decimal vs. binary prefix), let us assume the standard metric conversion of 1 MB = 1000 KB:
Size=12×1000=12000 KB
Now, calculate the download time using the transfer rate of 2.4 KB/s:
Time=120002.4=5000 seconds
Since we can successfully determine the time required by combining the information from both statements, the question can be answered by using both statements together, but not by using either statement alone.

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