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

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IMPORTANT

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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

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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 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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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

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 16

Three sets

A, B, C

are such that

A = B \cap C

and

B = C \cap A,

then

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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 17

If

A, B, C

be three sets such that

A \cup B = A \cup C

and

A \cap B = A \cap C,

then

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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 18

For any two sets

A

and

B

if

A \cap X = B \cap X = ϕ

and

A \cup X = B \cup X

for some set

X,

then

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 19

If

n (A) = 3, n (B) = 6

and

A \subseteq B,

then the number of elements in

(A \cup B)

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 20

If

n (A) = 8

and

n (A \cap B) = 2,

then

n [{(A \cap B)}^{'} \cap A]

is equal to

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 21

If

A = \{x ∣ x

is a root of

x^{2} - 1 = 0},

B = \{x ∣ x

is a root of

x^{2} - 2 x + 1 = 0},

then