JEE Main Quiz: Sets, Relation And Functions Set 2

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1. Two points X and Y in a plane are related if OX = OY, where o is a fixed point. This relation is:  

Explanation

OX = OY, which implies that OY = OX, now as OX = OY, then if,
OY = OZ, then OX = OZ, which proves that it is an equivalence relation.

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JEE Main Quiz: Sets, Relation And Functions Set 2 - Quiz

This JEE Main Quiz focuses on Sets, Relations, and Functions, exploring concepts like disjoint subsets, relations, mappings, and distinct functions. It assesses key mathematical skills relevant for engineering... see moreentrance exams, enhancing problem-solving abilities in set theory and function analysis. see less

2.

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3.

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4. 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?

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5.

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

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

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

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9.

Explanation

For any set x ∈ N, we have x/x, which implies that R is reflexive, but R is not symmetric, so that’s why x R y does not imply y R x.

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10. 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:  

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Two points X and Y in a plane are related if OX = OY, where o is a...
In a town of 10,000 families, it was found that 40% families buy...
A survey shows that 60% of Indians like football whereas 76% like...
Let X be a set containing 10 distinct elements, then the total number...
Let A = {a, b, c, d}. The total number of unordered pairs of disjoint...
Let A & B are two finite sets having x and y no of elements...
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