Consider the following statements:1. The number of students who had ta...
Statement 1:Students, who had taken only one subject = 2 + 5 + 4= 11
Students, who had taken only two subjects
=6+2+1=9
1
9
Statement 2:Students who had taken atleast two subject = 1+2 + 6 + 3=12
Students who had taken all three subjects = 4x3 = 12
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Consider the following statements:1. The number of students who had ta...
Statement Analysis:
We are given two statements:
1. The number of students who had taken only one subject is equal to the number of students who had taken only two subjects.
2. The number of students who had taken at least two subjects is four times the number of students who had taken all the three subjects.
Analysis of Statement 1:
Let's assume the number of students who had taken only one subject is x.
Now, the number of students who had taken only two subjects will also be x, as given in the statement.
Therefore, the total number of students who had taken only one or two subjects is 2x.
Analysis of Statement 2:
Let's assume the number of students who had taken all three subjects is y.
According to the statement, the number of students who had taken at least two subjects is four times the number of students who had taken all three subjects.
So, the number of students who had taken at least two subjects will be 4y.
Conclusion:
From the given information, we have:
Number of students who had taken only one or two subjects = 2x
Number of students who had taken at least two subjects = 4y
We can see that the information provided in the two statements is not sufficient to determine any relationship between x and y. Therefore, neither statement alone can be considered correct.
Hence, the correct answer is option 'B' - 2 only.