Mathematics (NDA/NA SOLVED PAPER 2023-I) (01 to 50)

Total Questions: 50

11. If 2 -i√3 where i = √-1 is a root of the equation x² + ax + b = 0, then what is the value of (a + b)?

Correct Answer: (d) 3
Solution:

12. Find value?

Correct Answer: (b) 2π/3
Solution:

13. If a,b,c are in AP, then what is

Correct Answer: (b) 0
Solution:

14. If logxa, ax and logbx are in G.P, then what is x equal to?

Correct Answer: (c)
Solution:

15. Find ?

Correct Answer: (a) a, b, c are in AP
Solution:

16. The first and the second terms of an AP are 5/2 and 23/12 respectively. If nᵗʰ terms is the largest negative term, what is the value of n?

Correct Answer: (b) 6
Solution:

17. For how many integral values of k, the equation x² - 4x + k = 0, where k is an integer, has real roots and both of them he in the interval (0, 5)?

Correct Answer: (b) 4
Solution:

18. In an AP, the first term is x and the sum of the first n terms is zero. What is the sum of next m terms?

Correct Answer: (b)
Solution:

19. Consider the following statements:

1. (25)! +1 is divisible by 26|
2. (6)! + 1 is divisible by 7
Which of the above statement is/are correct?

Correct Answer: (b) 2 only
Solution:

20. If z is a complex number such that (z - 1)/(z + 1) is purely imaginary, then what is |z| equal to?

Correct Answer: (c) 1
Solution: