# 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?

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

## Other posts related to Quantitative Aptitude – Modern Maths

Permutation and Combination – Fundamental Principle of Counting
Permutation and Combination – Distribution of Objects
How to find Rank of a Word in Dictionary (With or Without Repetition)
Set Theory- Maximum and Minimum Values
How to solve questions based on At least n in Set Theory for CAT Exam?
Sequence and Series Problems and Concepts for CAT 2017 Exam Preparation
Basic Probability Concepts for CAT Preparation

## Online Coaching Course for CAT 2021 + Test Series

a) 1000+ Videos covering entire CAT syllabus
b) 2 Live Classes (online) every week for doubt clarification
c) Study Material & PDFs for practice and understanding
d) 10 Mock Tests in the latest pattern
e) Previous Year Questions solved on video