Set , Relation and Function | NDA PYQ | NDA Practice Question | NDA maths Previous year question | Part 2

Set, Relation and Function

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Question no. 16

In a class of 55 students , the number of students studying different subjects are 23 in Mathematics, 24 in physics, 19 in chemistry , 12 in mathematics and physics , 9 in mathematics and chemistry , 7 in physics and chemistry and 4 in all the three subjects. The number of students who have taken exactly one subject is

looks_one 6

looks_two 9

looks_3 7

looks_4 All of these

Option 1. 0

very soon 16

Question no. 17

If A,B and C are any three sets , then A ✕( B ⋃ C )

looks_one(A ✕ B) ⋃ (A ✕ C)

looks_two (A ⋃ B) ✕ (A ⋃C)

looks_3 (A ✕B) ⋂ (A ✕C)

looks_4None of these

Option 1 is correct answer

ver soon 2

Question no. 18

If A, B and C are any three sets , then A - (B ⋃ C) is equal to

looks_one (A-B) ⋃ (A-C)

looks_two(A-B) ⋂ (A-C)

looks_3 (A-B) ⋃ C

looks_4 (A-B) ⋂ C

Option 4 is correct answer

very soon 3

Question no. 19

If A,B and C are non empty sets , then (A-B) ⋃ (B-A) equals

looks_one (A ⋃ B) - B

looks_two A - (A ⋂ B)

looks_3 (A ⋃ B) - (A ⋂ B)

looks_4 (A ⋂ B) ⋃ (A ⋃ B)

Option 2 is correct answer

very soon 4

Question no. 20

If P, Q and R are subsets of a set A , then R ✕ (P' ⋃ Q')' =

looks_one (R ✕ P) ⋂ (R ✕ Q)

looks_two (R ✕ Q) ⋂ (R ✕ P)

looks_3 (R ✕ P) ⋃ (R ✕ Q)

looks_4 None of these

Option 3 is correct answer

very soon

Question no. 21

In rule method the null set is represented by

looks_one {}

looks_two ϕ

looks_3 {x : x = x}

looks_4 {x : x ≠ x }

Option 2 is correct answer

very soon 6

Question no. 22

A = {x : x ≠ x } represents

looks_one {0}

looks_two {ϕ}

looks_3 {1}

looks_4 {x}

Option 2 is correct answer

very soon

Question no. 23

If Q = , then

looks_one 0 ∊ Q

looks_two 1 ∊ Q

looks_3 2 ∊ Q

looks_4 2/3 ∊ Q

Option 3 is correct answer

very soon

Question no. 24

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

looks_one 15

looks_two 16

looks_3 14

looks_4 17

Option 2 is correct answer

very soon 9

Question no. 25

The smallest set A such that A ⋃ {1,2} = {1,2,3,5,9} is

looks_one {2,3,5}

looks_two {3,5,9}

looks_3 {1,2,5,9}

looks_4 None of these

Option 1 is correct answer

very soon 10

Question no. 26

If A ⊂ B = B , then

looks_one A ⊂ B

looks_two A ⊂ B

looks_3 A = ϕ

looks_4 B = ϕ

Option 2 is correct answer

very soon 11

Question no. 12

Let A = {a,b,c} , B={b,c,d} , C = {a,b,d,e} then A ⋂ (B ⋃ C) is

looks_one {a,b,c}

looks_two{b,c,d}

looks_3{a,b,c,d}

looks_4{e}

Option 4 is correct answer

very soon 12

Question no. 28

Let A and B be two sets. Then

looks_one A ⋃ B A ⋂ B

looks_two A ⋂ B A ⋃ B

looks_3 A ⋂ B AB

looks_4 None of these

Option 2 is correct answer

very son 13

Question no. 29

If A, B, C be three sets such that A ⋃ B = A ⋃ C and A ⋂ B = A ⋂ C , then

looks_one A = B

looks_two B = C

looks_3 A = C

looks_4 A = B = C

Option 4 is correct answer

very soon14

Question no. 30

If A and B are two sets , then A ⋃ B = A ⋂ B , then

looks_one A ⊆ B

looks_two B ⊆ A

looks_3 A = B

looks_4None of these

Option 1 is correct answer

very soon15

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