JEE Main Quiz: Sets, Relation And Functions Set 2

• A is Reflexive, symmetric and transitive.

• A is Reflexive, transitive but not symmetric

• A is Symmetric, Transitive but not reflexive

• A is neither transitive nor reflexive but symmetric

• – f(x)

• 3f(x)

• None of these

In a town of 10,000 families, it was found that 40% families buy newspaper A, 20% families buy newspaper B and 10% families buy newspaper C. 5% families buy A & B, 3% buy B & C and 4% buy c and A. If 2% of families buy all the newspaper, then how many families buy newspaper A only?

• 3300

• 4100

• 2600

• 3700

• A = B

• None of these

A survey shows that 60% of Indians like football whereas 76% like cricket. If X% of the Indians like both mangoes and apples, then:  

• 15 ≤ x ≤ 19

• 9 ≤ x ≤ 19

• 6 ≤ x ≤ 7

• 3 ≤ x ≤ 5

Let X be a set containing 10 distinct elements, then the total number of distinct functions from X to X is:  

• 100

Let A = {a, b, c, d}. The total number of unordered pairs of disjoint subsets of A is equal to:  

• An ellipse

• A pair of straight

• A hyperbola

• A parabola

• Reflexive but not symmetric

• Reflexive but not transitive

• Symmetric and transitive

• Equivalence relation

Let A & B are two finite sets having x and y no of elements respectively. Then the total no of mappings from A to B is:  

• Xy