GUIDE OF TOP 20 NDA MATHS QUESTIONS WITH SOLUTION

NDA MATHS QUESTIONS WITH SOLUTION

Here are the best Top 20 NDA Maths questions with solution type which can help to improve your preparation. Answer Key is also attached in the end.

Question 1. The function f : A → B defined by f(x) = 4x + 7, x ∈ R is

(a) one-one
(b) Many-one
(c) Odd
(d) Even

Question 2. The smallest integer function f(x) = [x] is

(a) One-one
(b) Many-one
(c) Both (a) & (b)
(d) None of these

Question 3. The function f : R → R defined by f(x) = 3 – 4x is

(a) Onto
(b) Not onto
(c) None one-one
(d) None of these

Question 4. The number of bijective functions from set A to itself when A contains 106 elements is

(a) 106
(b) (106)²
(c) 106!
(d) 2¹⁰⁶

Question 5. If f(x) = (ax² + b)³, then the function g such that f(g(x)) = g(f(x)) is given by

(a) g(x)=(b−x1/3a)
(b) g(x)=1(ax2+b)3
(c) g(x)=(ax2+b)1/3
(d) g(x)=(x1/3−ba)1/2

NDA MATHS QUESTIONS WITH SOLUTION

Question 6. If f : R → R, g : R → R and h : R → R is such that f(x) = x², g(x) = tanx and h(x) = logx, then the value of [ho(gof)](x), if x = π√2 will be

(a) 0
(b) 1
(c) -1
(d) 10

Question 7. If f : R → R and g : R → R defined by f(x) = 2x + 3 and g(x) = x² + 7, then the value of x for which f(g(x)) = 25 is

(a) ±1
(b) ±2
(c) ±3
(d) ±4

Question 8. Let f : N → R : f(x) = (2x−1)2 and g : Q → R : g(x) = x + 2 be two functions. Then, (gof) (32) is

(a) 3
(b) 1
(c) 72
(d) None of these

Question 9. Let f(x)=x−1x+1, then f(f(x)) is

(a) 1x
(b) −1x
(c) 1x+1
(d) 1x−1

Question 10. If f(x) = 1−1x, then f(f(1x))

(a) 1x
(b) 11+x
(c) xx−1
(d) 1x−1

NDA MATHS QUESTIONS WITH SOLUTION

Question 11. If f : R → R, g : R → R and h : R → R are such that f(x) = x², g(x) = tan x and h(x) = log x, then the value of (go(foh)) (x), if x = 1 will be

(a) 0
(b) 1
(c) -1
(d) π

Question 12. If f(x) = 3x+25x−3 then (fof)(x) is

(a) x
(b) -x
(c) f(x)
(d) -f(x)

Question 13. If the binary operation * is defind on the set Q+ of all positive rational numbers by a * b = ab4. Then, 3∗(15∗12) is equal to

(a) 3160
(b) 5160
(c) 310
(d) 340

Question 14. The number of binary operations that can be defined on a set of 2 elements is

(a) 8
(b) 4
(c) 16
(d) 64

NDA MATHS QUESTIONS WITH SOLUTION

Question 15. Let * be a binary operation on Q, defined by a * b = 3ab5 is

(a) Commutative
(b) Associative
(c) Both (a) and (b)
(d) None of these

NDA MATHS QUESTIONS WITH SOLUTION

Question 16. Let * be a binary operation on set Q of rational numbers defined as a * b = ab5. Write the identity for *.

(a) 5
(b) 3
(c) 1
(d) 6

Question 17. For binary operation * defind on R – {1} such that a * b = ab+1 is

(a) not associative
(b) not commutative
(c) commutative
(d) both (a) and (b)

Question 18. The binary operation * defind on set R, given by a * b = a+b2 for all a,b ∈ R is

(a) commutative
(b) associative
(c) Both (a) and (b)
(d) None of these

Question 19. Let A = N × N and * be the binary operation on A defined by (a, b) * (c, d) = (a + c, b + d). Then * is

(a) commutative
(b) associative
(c) Both (a) and (b)
(d) None of these

Question 20. Find the identity element in the set I⁺ of all positive integers defined by a * b = a + b for all a, b ∈ I⁺.

(a) 1
(b) 2
(c) 3
(d) 0

NDA MATHS QUESTIONS WITH SOLUTION

TOP 20 NDA MATHS QUESTIONS WITH SOLUTION ANSWER KEY: –

NDA MATHS QUESTIONS WITH SOLUTION