(Mathematics) NDA/NA Solved Paper 2017-I

Total Questions: 50

31. The equations

x + 2y + 3z = 1
2x + y + 3z = 2
5x + 5y + 9z = 4

Correct Answer: (a) have the unique solution
Solution:

32. Solve the following equation:

Correct Answer: (d)

33. What is the value of the determinant

Correct Answer: (c) x²y²z²
Solution:

34. Solve the following question:

Correct Answer: (d) x/y is one of the cube roots of-1
Solution:

35. Consider the set A ofall matrices of order 3 × 3 with entries 0 or 1 only. Let B be the subset of A consisting of all matrices whose determinant is 1. Let C be the subsetof A consisting of all matrices whose determinant is -1. Then which one of the following is correct?

Correct Answer: (b) B has as many elements as C
Solution:

36. Solve the following question:


Correct Answer: (a)
Solution:

37. What is the order of:-

Correct Answer: (b) 1x1
Solution:

38. Solve the following question:


Correct Answer: (a)
Solution:

39. If sin A = 3/5, where 450º<A<540º, then cos A/2 is equal to 

Correct Answer: (d) None ofthe above
Solution:

40. Solve the following question;

Correct Answer: (d) 4
Solution: