Question

In a survey of 25 students, it was found that 15 had taken Mathematics, 12 had taken Physics and 11 had taken Chemistry, 5 had taken Mathematics and Chemistry, 9 had taken Mathematics and Physics, 4 had taken Physics and Chemistry and 3 had taken all the three subjects.
Consider the following 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.
Which of the above statements is/are correct ?
A. 1 only
B. 2 only
C. Both 1 and 2
D. Neither 1 nor 2

Answer 1

Correct Answer - B

Statement 1 :
Students, who had taken only one subject
= 2+5+4=11
Students, who had taken only two subjects
=6+2+1=9
`1ne9`
Statement 2 :
Students who had taken atleast two subject
=1+2+6+3=12
Students who had taken all three subjects
`=4xx3=12`