CAT 2018 Question Paper Shift 1 Solved Paper

Question : 78 of 100

Marks: +1, -0

Each of 74 students in a class studies at least one of the three subjects H,E and P. Ten students study all three subjects, while twenty study H and E,but not P. Every student who studies P also studies H or E or both. If thenumber of students studying H equals that studying E, then the number ofstudents studying H is

Your Answer:

Validate

Solution:

Let the number of students who studying only H be h, only E be e, only H and P but not E be x, only E and P but not H be y

Given only

{P}=0

All three

=10 ;

Studying only

{H}

and

{E}

but

not {P}=20

Given number of students studying

{H}=

Number of students studying

{E}

= {h}+ {x}+20+10

= {e}+ {y}+20+10

{h}+ {x}= {e}+ {y}

total number of students

=74

Therefore,

{h}+ {x}+20+10+ {e}+ {y}=74

{h}+ {x}+ {e}+ {y}=44

{h}+ {x}+ {h}+ {x}=44

{h}+ {x}=22

Therefore, the number of students studying

{H}= {h}+ {x}+20+10=22+20+10=52

Go to Question:

Prev Question

Next Question