8/12/2019 Chap;1 Sets

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Prepared by: Faizan Ahmed math.pgseducation.com

Chapter 1 SETS

1) If x L M then

A) x L or x M!) x L or x M") x L or x M#) x L or x M

Ans$er: #

%) Let A & 'a b c d( ! & 'b c d( then A ! &

A) 'b c d(!) 'a b c(") 'a b c d(#) 'a c d(

Ans$er: A

) If x !& * + ! then

A) x ! and x *!) x ! and x *") x ! and x *#) x ! and x *

Ans$er: !

,) Let A & -1 % , /..( ! & '% , 0 /.(

2he A! is

A) '1 % (!) '1 % , /..(") '% , 0 /..(#) '0 3 4(

Ans$er: !

) L M & LM then L is e5ua6 to

A) M!) L") #) M

Ans$er: A

0) 7hich of the fo66o$ing sets has on6y one subset.

A) '8 9(!) '8(") '(#) ' (

Ans$er: #

3) A ! thenA) A ! & A!) A !& A") A + ! & A#) A + ! & !

Ans$er: A

) If x L + M then

A) x L and x M!) x L and x M") x L and x M

#) x L and x MAns$er: !

4) 2ota6 number of subsets that can be formed from the se

'x y z( is

A) 1!) %") #)

Ans$er: #

1) If x L M then

A) x L and x M!) x L and x M") x L and x M#) x L and x M

Ans$er: A

11) Let A and ! be any none empty sets then

A-A!) is

A) ! A!) A") !#) A !

Ans$er: !

1%) Let A ! " be any sets. Let A ! & A " and

A ! & A " then ! set is e5ua6 to

A) A !!) A !") A#) "

Ans$er: #

1) If ; contains n e6ements then po$er set of ; P -s)

contains e6ements. 7hich areery e6ement of A !#) ?>ery e6ement of ! A

Ans$er: A

13) 2he comp6ement of set A re6ati>e to uni>ersa6 set * is the

set

A) 'x@x* and x A(!) 'x@x* and xA(") 'x@x* and x A(#) 'x@x* and x A(

Ans$er: #

1) If A ! & A then

A) A! & A!) A! & A") A! & !#) A! &

Ans$er: #

14) If ! + A & ! then

A) A! & !) A! & A") A! #) A! & !

Ans$er: A

%) 2he union of the sets A and ! is defined as

A) A ! & 'x@xA or x!(!) A ! & 'x@xA or x!(") A ! & 'x@xA or x!(#) A ! & 'x@xA or x!(

Ans$er: A

%1) If B C are any sets then B + C &

A) B + -BC)!) B -B + C)") B D -B C)#) B + -B C)

Ans$er: A

%%) If A and ! are any t$o sets and A ! are 2heir

comp6iments re6ati>e to the uni>ersa6 set * the -A!)&

A) A!!) A!") A!#) A!

Ans$er: "

%) #ifference bet$een t$o sets AE! is defined as

A) 'x@x A x !(!) 'x@x A x !(") 'x@x A x !(#) 'x@x A x !(

Ans$er: !

%,) For union Associati>e La$ is

A) -A!) " & A-!")!) -A!) " & A-!")") -A!) " & A-!")#) -A!) " & A -! ")

Ans$er: A

%) 2he set of odd numbers bet$een 1 and 4 is

A) '1 3(!) ' 3 4(") '1 3 4(#) ' 3(

Ans$er: #

%0) 2he set of rationa6 numbers bet$een and 4 is

A) Finite!) Infinite") ' 0 3 4(#) '0 3 (

Ans$er: !

%3) If x is a set ha>ing 0 e6ements then the numbers in P-x) is:

A) 0%!) 0") 0-%)#) %0

Ans$er: #

%) If ! A then Ais subset of

A) A!) !") !#) A !

Ans$er: "

%4) 2he set A -A !) &

A) A!) !") A !#) one of these

Ans$er: A) 2he set A -A !) &

A) !!) A") A !#) one of these

Ans$er: !

1) If A and ! are any t$o sets and A ! are their

comp6ements re6ati>e to the uni>ersa6 set * then

8/12/2019 Chap;1 Sets

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Prepared by: Faizan Ahmed math.pgseducation.com

-A !)&

A) A!!) A!") A!#) A !

Ans$er: A

%) If A * then Are6ati>e to * is e5ua6 to

A) A + !!) ! + A") * + A#) A + *

Ans$er: "

) 2he shaded area in the figure represents the set

A B

C A) A ? "!) A ? "") A ? "#) A ? "

Ans$er: A

,) 2he shaded area in the figure represents the set:

A B

A) A ?!) A ?") A + ?#) ? + A

Ans$er: !

) 2he shade area in the figure represents the set:

A

A) A ?!) A ?") A + ?#) ? + A

Ans$er: #

0) 2he shaded area in the figure represents the set:

A

A) A ?

!) A ?") A + ?#) ? + A

Ans$er: "

3) 7e66 defined co66ection of distinct ob=ects is ca66ed a

GGGGGGGGGG

A) a function!) a set") a rea6 number#)

noneAns$er: !

) A diagram $hich represents a set is ca66ed GGGGGGG

diagram.

A) Henns!) Argand") P6ane#) one

Ans$er: A

4) If a set A is the subset of ! J A K ! then A GGGGGGG

of !.

A) Proper subset!) Improper subset") one #) one

Ans$er: A

,) ?>ery set is the GGGGGGGG of itse6f.

A) proper subset!) improper subset") super set#) none

Ans$er: !

,1) 2he set of rea6 os. -points) be6onging to inter>a6-a b) is GGGGGGGGGG

A) finite set!) empty set") sing6eton set#) infinite set

Ans$er: #

,%) 2he po$er set of an empty set is GGGGGGGGG

A) nu66 set!) sing6eton set") super set#) none

Ans$er: !

,) @& GGGGGGGG

A) A!) A @") #)

Ans$er: "

8/12/2019 Chap;1 Sets

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Prepared by: Faizan Ahmed math.pgseducation.com

,,) 2$o set A J ! are ca66ed o>er6apping if A! &

GGGGGGGG

A) ABBA

!) BA

") ABBA

#) one

Ans$er: #

,) 7hich one is a6$ays true.A) BA

!) BBA

") AB

#) none

Ans$er: !

,0) If J 8 are t$o sets J n -) & 1 n -8) & %, n-*8)

& , then n- 8) & GGGGGGGG

A)

!) ,

") 0

#) %

?) 1

Ans$er: #