EASY
JEE Main
IMPORTANT
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If A and B are subsets of a set X, then what is A∩X-B∪B equal to?

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Important Questions on Set Theory and Relations

EASY
JEE Main
IMPORTANT
Mathematics Crash Course JEE Main>Chapter 26 - Set Theory and Relations>Level 1>Q 12
A={1,2,{3,4}}, number of proper subsets of A is
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JEE Main
IMPORTANT
Mathematics Crash Course JEE Main>Chapter 26 - Set Theory and Relations>Level 1>Q 13
If A=1, 2, 5, 6 and B=1, 2, 3, then what is A×B∩B×A equal to?
MEDIUM
JEE Main
IMPORTANT
Mathematics Crash Course JEE Main>Chapter 26 - Set Theory and Relations>Level 1>Q 14
Let R={x∣x∈N, x is a multiple of 3 and x≤100}, S={x∣x∈N, x is a multiple of 5 and x≤100}. What is the number of elements in R×S∩S×R?
EASY
JEE Main
IMPORTANT
Mathematics Crash Course JEE Main>Chapter 26 - Set Theory and Relations>Level 1>Q 15
Let A={1, 2, 3}. The total number of distinct relations, that can be defined over A is
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JEE Main
IMPORTANT
Mathematics Crash Course JEE Main>Chapter 26 - Set Theory and Relations>Level 1>Q 16
If R=x, y∣x, y∈Z, x2+y2≤4 is a relation in Z, then domain of R is
MEDIUM
JEE Main
IMPORTANT
Mathematics Crash Course JEE Main>Chapter 26 - Set Theory and Relations>Level 1>Q 17
If A=a, b, c and R=a, a, a, b, b, c, b, b, c, c, c, a is a binary relation on A, then which one of the following is correct?
MEDIUM
JEE Main
IMPORTANT
Mathematics Crash Course JEE Main>Chapter 26 - Set Theory and Relations>Level 1>Q 18
For real numbers x and y, define a relation R, xRy if and only if x-y+2 is an irrational number. Then, the relation R is
HARD
JEE Main
IMPORTANT
Mathematics Crash Course JEE Main>Chapter 26 - Set Theory and Relations>Level 1>Q 19
Let S denotes a set of all integers. Define a relation R on S as 'aRb' if ab≥0, where a, b∈S. Then, R is