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In a survey of 25 students, it was found that 15 had taker 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.
onsider 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?
Options:
onsider 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?
Solution:
2671 Upvotes
Verified Answer
The correct answer is:
2 only
Statement 1:
Students, who had taken only one subject $=2+5+4=11$
Students, who had taken only two subjects $=6+2+1=9$
$1 \neq 9$
State me nt $2:$
Students who had taken atleast two subject $=1+2+6+3=12$
Students who had taken all three subjects
$4 \times 3=12$
Students, who had taken only one subject $=2+5+4=11$
Students, who had taken only two subjects $=6+2+1=9$
$1 \neq 9$
State me nt $2:$
Students who had taken atleast two subject $=1+2+6+3=12$
Students who had taken all three subjects
$4 \times 3=12$
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