Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 1 - Set Theory and Real Number System>Exercises>Q 4

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IMPORTANT

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Two finite sets have $m$ and $n (m > n)$ elements. The number of subsets of the first set is $112$ more than that of the second set. The value of $m n$ is

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Important Questions on Set Theory and Real Number System

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JEE Main/Advance

IMPORTANT

Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 1 - Set Theory and Real Number System>Exercises>Q 5

Let

A

and

B

be two non-empty subsets of a set

X

such that

A

is not a subset of

B

. Then

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IMPORTANT

Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 1 - Set Theory and Real Number System>Exercises>Q 6

If

a N = \{a x : x \in N\}

, then the set

4 N \cap 6 N

is

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Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 1 - Set Theory and Real Number System>Exercises>Q 7

The set

{(A \cap B^{'})}^{'} \cup (B \cap C)

is equal to

EASY

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IMPORTANT

Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 1 - Set Theory and Real Number System>Exercises>Q 8

For sets

A

and

B

,

{(A \cup B)}^{'} \cup (A^{'} \cap B)

equals

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Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 1 - Set Theory and Real Number System>Exercises>Q 9

Let

U

be the universal set and

A \cup B \cup C = U

. Then,

{\{(A - B) \cup (B - C) \cup (C - A)\}}^{'}

is equal to

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Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 1 - Set Theory and Real Number System>Exercises>Q 10

The shaded region in the given figure is

Question Image

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Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 1 - Set Theory and Real Number System>Exercises>Q 11

Which is the simplified representation of

(A^{'} \cap B^{'} \cap C) \cup (B \cap C) \cup (A \cap C)

, where

A, B & C

are subsets of set

X

?

EASY

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IMPORTANT

Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 1 - Set Theory and Real Number System>Exercises>Q 12

In statistical survey of

1003

families of Kolkata, it was found that

63

families have neither a radio nor a TV,

794

families have a radio and

187

has TV. The number of families in that group having both a radio and a TV is