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  • NDA Exam Mathematics Study Material

Digitization help student to explore and study their academic courses online, as this gives them flexibility and scheduling their learning at their convenience. Kidsfront has prepared unique course material of Mathematics Relations and Functions for NDA Exam student. This free online Mathematics study material for NDA Exam will help students in learning and doing practice on Relations and Functions topic of NDA Exam Mathematics. The study material on Relations and Functions, help NDA Exam Mathematics students to learn every aspect of Relations and Functions and prepare themselves for exams by doing online test exercise for Relations and Functions, as their study progresses in class. Kidsfront provide unique pattern of learning Mathematics with free online comprehensive study material and loads of NDA Exam Mathematics Relations and Functions exercise prepared by the highly professionals team. Students can understand Relations and Functions concept easily and consolidate their learning by doing practice test on Relations and Functions regularly till they excel in Mathematics Relations and Functions.


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 :