# 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  ?

• (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