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The number of non-empty subsets of the set ${1, 2, 3, 4}$ is

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Important Questions on Sets, Relations and Functions

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Competitive Thinking>Q 8

If the set

A

contains

5

elements, then the number of elements in the power set

P (A)

is equal to

EASY

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Competitive Thinking>Q 9

A = {x : x

is a multiple of

4}

and

B = {x : x

is a multiple of

6}

, then

A \cap B

consists of all multiples of

EASY

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Competitive Thinking>Q 10

The number of elements in the set

\{(a, b) : 2 a^{2} + 3 b^{2} = 35, a, b \in Z\},

where

Z

is the set of all integers, is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Competitive Thinking>Q 11

S

is a set with

10

elements and

A = \{(x, y) : x, y \in S, x \neq y\},

then the number of elements in

A

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Competitive Thinking>Q 12

The total number of subsets of the set

{1, 2, \dots, 10}

which do not contain the element

6

MEDIUM

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Competitive Thinking>Q 13

Two finite sets have

m

and

n

elements. The total number of subsets of the first set is

56

more than the total number of subsets of the second set. The values of

m

and

n

are

HARD

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Competitive Thinking>Q 14

Suppose

A_{1}, A_{2}, A_{3}, \dots \dots . ., A_{30}

are thirty sets, each having

5

elements and

B_{1}, B_{2}, \dots \dots, B_{n}

are

n

sets, each with

3

elements. Let

\cup_{i = 1}^{30} A_{i} = \cup_{j = 1}^{n} B_{j} = S

and each element of

S

belong to exactly

10

of the

A_{i}

and exactly

9

of the

B_{j}

. Then

n

is equal to

EASY

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Competitive Thinking>Q 15

For any two sets

A - (A - B)

equals

The number of non-empty subsets of the set {1,2,3,4} is

Important Questions on Sets, Relations and Functions

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The number of non-empty subsets of the set ${1, 2, 3, 4}$ is