If ( 1 , 3 ) , ( 2 , 5 ) and ( 3 , 3 ) are three elements of A × B and the total number of elements in A × B is 6 , then the remaining elements of A × B are

( 1 , 5 ) ; ( 2 , 3 ) ; ( 3 , 5 )

( 5 , 1 ) ; ( 3 , 2 ) ; ( 5 , 3 )

( 1 , 5 ) ; ( 2 , 3 ) ; ( 5 , 3 )

( 1 , 3 ) ; ( 2 , 5 ) ; ( 3 , 3 )

Let A and B be two sets such that A × B = { a , 1 , b , 3 , a , 3 , b , 1 , a , 2 , b , 2 } , then

A = { a , b } and B = { 1 , 2 , 3 }

A = { 1 , 2 , 3 } and B = { a , b }

A = { 1 , 2 , 3 } and B ⊂ { a , b }

A ⊂ { a , b } and B ⊂ { 1 , 2 , 3 }

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IMPORTANT

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In a battle $70 %$ of the combatants lost one eye, $80 %$ an ear, $75 %$ an arm, $85 %$ a leg, $x %$ lost all the four limbs. The minimum value of $x$ 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>Critical Thinking>Q 28

In a group of

20

adults, there are

8

males and

9

vegetarians. Find the number of female non-vegetarians, if the group contains

5

male vegetarians?

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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>Critical Thinking>Q 29

In a class of

120

students,

46

play chess,

30

play table tennis and

40

play carrom,

14

play chess and table tennis,

10

play table tennis and carrom,

8

play chess and carrom, and

30

students do not play any of these games. How many play chess, table tennis and carrom?

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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>Critical Thinking>Q 30

Let

A = \{(x, y) : y = e^{x}, x \in R\},

B = {(x, y) : y = e^{- x}, x \in R\}

Then

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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>Critical Thinking>Q 31

A survey shows that

63 %

of the Americans like cheese whereas

76 %

like apples. If

x %

of the Americans like both cheese and apples, then

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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>Critical Thinking>Q 32

X = \{8^{n} - 7 n - 1 : n \in N\}

and

Y = {49 (n - 1) : n \in N}

then

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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>Critical Thinking>Q 33

A = {a, b}, B = {c, d}, C = {d, e},

then

{(a, c), (a, d), (a, e), (b, c), (b, d), (b, e)} =

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>Critical Thinking>Q 34

(1, 3), (2, 5)

and

(3, 3)

are three elements of

A \times B

and the total number of elements in

A \times B

6,

then the remaining elements of

A \times B

are

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>Critical Thinking>Q 35

Let

A

and

B

be two sets such that

A \times B = {(a, 1), (b, 3), (a, 3), (b, 1), (a, 2), (b, 2)},

then

In a battle 70% of the combatants lost one eye, 80% an ear, 75% an arm, 85% a leg, x% lost all the four limbs. The minimum value of x is

Important Questions on Sets, Relations and Functions

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In a battle $70 %$ of the combatants lost one eye, $80 %$ an ear, $75 %$ an arm, $85 %$ a leg, $x %$ lost all the four limbs. The minimum value of $x$ is