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NDA Exam Mathematics Study Material

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Relations and Functions

If (a, b) =(x, y), then

a) A = x and b = y.
b) A = y and b = x
c) A=0
d) None of the above

✔Answer

Correct Answer Is : A = x and b = y.

Solution Is :

If A = {4,5} and B = {6,8} then BXA is

a) {(6,4), (6,5), (8,4), (8,5)}
b) {(6,4), (6,5), (8,5)}
c) {5,6,7,8}
d) {4,5,8,6}

✔Answer

Correct Answer Is : {(6,4), (6,5), (8,4), (8,5)}

Solution Is :

Let A = {1, 2, 3, …, 30} and R be the relation “is half of” on A. Then the range of R is

a) {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}
b) {2,4,6,8,10,12,18,20,22,24,26,28,30}
c) {15}
d) None of the above

✔Answer

Correct Answer Is : {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

Solution Is :

If n(A)=3, n(B)=3 . What is the total number of relations from A to B?

a) 2^9
b) 2^0
c) 2^6
d) 2^1

✔Answer

Correct Answer Is : 2^9

Solution Is :

The two ordered pairs (a, b) and (c, d) are said to be equal if and only if ______

a) A = c and b = d.
b) A = b and c = d.
c) A*b=c*d
d) All of the above

✔Answer

Correct Answer Is : A = c and b = d.

Solution Is :

If X = {1, 2, 3, 4}, Y = {1, 2, 3,...., 20}, and f: X Y be the correspondence which assigns each element in X the value equal to its square, then the domain, co-domain and range of f is

a) Domain = {1, 2, 3, 4}, Range = {1, 4, 9, 16}, Co domain = {1, 2, 3, ..., 20}
b) Domain = {1, 2, 3, 4}, Range = {1, 4, 9, 16}, Co domain = {1, 2, 3, ..., 16}
c) Domain = {1, 4, 9, 16}, Range = {1, 2, 3, 4}, Co domain = {1, 2, 3, ..., 16}
d) Domain = {1, 2, ..., 20}, Range = {1, 2, 3, 4}, Co domain = {1, 2, 3, 4}

✔Answer

Correct Answer Is : Domain = {1, 2, 3, 4}, Range = {1, 4, 9, 16}, Co domain = {1, 2, 3, ..., 20}

Solution Is :

____________ is the set of all the inputs of the relation.

a) The domain
b) The relation
c) The codomain
d) The range

✔Answer

Correct Answer Is : The domain

Solution Is :

If (x+2,y-2)=(2,8) then x and y =

a) x = 10, y=10
b) x=0 ,y=10
c) x = 10, y = 0
d) x=3,y=10

✔Answer

Correct Answer Is : x=0 ,y=10

Solution Is :

If any of the sets A or B is infinite, then A × B is also an ______

a) Orders set
b) Infinite set
c) Empty set
d) None of the above

✔Answer

Correct Answer Is : Infinite set

Solution Is :

Let A = {1, 2, 3, …, 30} and R be the relation “is one-third of” on A. Then the range of R is

a) {0,3,6,9,12,15,18,21,24,27,30}
b) {3,6,9,12,15,18,21,24,27,30}
c) {3,6,9,12,15,18,21,24,27,30,33}
d) {3,6,9,12,15,21,24,27,30}

✔Answer

Correct Answer Is : {3,6,9,12,15,18,21,24,27,30}

Solution Is :

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NDA Exam Mathematics Study Material

Relations and Functions

If (a, b) =(x, y), then

Correct Answer Is : A = x and b = y.

Solution Is :

If A = {4,5} and B = {6,8} then BXA is

Correct Answer Is : {(6,4), (6,5), (8,4), (8,5)}

Solution Is :

Let A = {1, 2, 3, …, 30} and R be the relation “is half of” on A. Then the range of R is

Correct Answer Is : {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

Solution Is :

If n(A)=3, n(B)=3 . What is the total number of relations from A to B?

Correct Answer Is : 2^9

Solution Is :

The two ordered pairs (a, b) and (c, d) are said to be equal if and only if ______

Correct Answer Is : A = c and b = d.

Solution Is :

If X = {1, 2, 3, 4}, Y = {1, 2, 3,...., 20}, and f: X Y be the correspondence which assigns each element in X the value equal to its square, then the domain, co-domain and range of f is

Correct Answer Is : Domain = {1, 2, 3, 4}, Range = {1, 4, 9, 16}, Co domain = {1, 2, 3, ..., 20}

Solution Is :

____________ is the set of all the inputs of the relation.

Correct Answer Is : The domain

Solution Is :

If (x+2,y-2)=(2,8) then x and y =

Correct Answer Is : x=0 ,y=10

Solution Is :

If any of the sets A or B is infinite, then A × B is also an ______

Correct Answer Is : Infinite set

Solution Is :

Let A = {1, 2, 3, …, 30} and R be the relation “is one-third of” on A. Then the range of R is

Correct Answer Is : {3,6,9,12,15,18,21,24,27,30}

Solution Is :

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