NDA 2020 Mathematics Question Paper
NDA QuestionsThere 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