# Sets, Set Theory - Practice Questions

A collection of questions that typically appear on Sets, Set Theory, Union and Intersection of 2 or 3 sets.

**Question 1:** In a class of 120 students numbered 1 to 120, all even numbered students opt for Physics, whose numbers are divisible by 5 opt for Chemistry and those whose numbers are divisible by 7 opt for Math. How many opt for none of the three subjects?

Answer and Explanations »

**Question 2:** Of the 200 candidates who were interviewed for a position at a call center, 100 had a two-wheeler, 70 had a credit card and 140 had a mobile phone. 40 of them had both, a two-wheeler and a credit card, 30 had both, a credit card and a mobile phone and 60 had both, a two wheeler and mobile phone and 10 had all three. How many candidates had none of the three?

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**Question 3:** The schedule of G first year students was inspected. It was found that M were taking a Mathematics course, L were taking a Language course and B were taking both a Mathematics course and a Language course. Which of the following expression gives the percentage of the students whose schedule was inspected who were taking neither a mathematics course nor a language course?

**TANCET 2008:** Answer and Explanations »

## CAT, XAT, TANCET Practice Questions and Answers : Listed Topicwise