NDA 2020 Mathematics Question Paper

There are 120 objective type questions in the paper.

4. If C(20, n + 2) = C(20, n - 2), then what is n equal to ?

  • (a) 18
  • (b) 25
  • (c) 10
  • (d) 12

6. The number (1101101 + 1011011)2, can be written in decimal system as

  • (a) (198)10
  • (b) (199)10
  • (c) (200)10
  • (d) (201)10

14. What is the number of ways in which the letters of the word 'ABLE' can be arranged so that the vowels occupy even places ?

  • (a) 2
  • (b) 4
  • (c) 6
  • (d) 8

15. What is the maximum number of points of intersection of 5 non-overlapping circles ?

  • (a) 10
  • (b) 15
  • (c) 20
  • (d) 25

18. If the number of elements belonging to neither X, nor Y, nor Z is equal to p, then what is the number of elements in the complement of X ?

  • (a) p + b + 60
  • (b) p + b + 40
  • (c) p+ a + 60
  • (d) p + a + 40

26. The value of ordinate of the graph of y = 2 + cos x lies in the interval

  • (a) [0, 1]
  • (b) [0, 3]
  • (c) [-1, 1]
  • (d) [1, 3]

27. What is the value of 8 cos 10°. cos 20°. cos 40° ?

  • (a) tan 10°
  • (b) cot 10°
  • (c) cosec 10°
  • (d) sec 10°

41. If A is a matrix of order 3 x 5 and B is a matrix of order 5 x 3, then the order of AB and BA will respectively be

  • (a) 3 x 3 and 3 x 3
  • (b) 3 x 5 and 5 x 3
  • (c) 3 x 3 and 5 x 5
  • (d) 5 x 3 and 3 x 5

47. Consider the proper subsets of [1, 2, 3, 4]. How many of these proper subsets are superset of the set [3] ?

  • (a) 5
  • (b) 6
  • (c) 7
  • (d) 8

52. The point (1, -1) is one of the vertices of a square. If 3x + 2y = 5 is the equation of one diagonal of the square, then what is the equation of the other diagonal ?

  • (a) 3x - 2y = 5
  • (b) 2x - 3y = 1
  • (c) 2x - 3y = 5
  • (d) 2x + 3y = -1


57. Let ABC be a triangle. If D(2, 5) and E(5,9) are are the mid-points of the sides AB and AC respectively, then what is the length of the side BC?

  • (a) 8
  • (b) 10
  • (c) 12
  • (d) 14

58. If the foot of the perpendicular drawn from the point (0, k) to the line 3x - 4y - 5 = 0 is (3, 1), then what is the value of k?

  • (a) 3
  • (b) 4
  • (c) 5
  • (d) 6