Quantitative Aptitude – Modern Maths – Set Theory – Each of 74 students in a class studies

Slot -1 – Quantitative Aptitude – Modern Maths – Set Theory – Each of 74 students in a class studies

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 the number of students studying H equals that studying E, then the number of students studying H is?

Answer : 52

Solution:
On the basis of given information , following venn-diagram can be made

Now as the number of students studying H equals that studying E, so remaining (74 – 10 – 20 = 44) students must be equally distributed to E and H . So number students studying H = 10+20+ 44/2 = 52

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