Mathematics NDA/NA SOLVED PAPER 2019 (II) (01 to 50)

Total Questions: 50

21. If x = 1 + i , then what is the value of x⁶ + x⁴ + x² + 1?

Correct Answer: (c) - 6i - 3
Solution:

22. What is the value of:

Correct Answer: (b) √2 + 1
Solution:

23. If P (n, r) = 2520 and C (n, r) = 21, then what is the value of C(n + 1, r + 1)?

Correct Answer: (c) 28
Solution:

24. How many terms are there in the expansion of (1 + 2x + x²)⁵ + (1 + 4y + 4y²)⁵?

Correct Answer: (d) 22
Solution:

25. If the middle term in the expansion of (x² + 1/x)²ⁿ is 184756x¹⁰, then what is the value of n?

Correct Answer: (a) 10
Solution:

26. Find the value?

Correct Answer: (c) AB exists but BA does not exist
Solution:

27. If n! has 17 zeros, then what is the value of n?

Correct Answer: (b) 85
Solution:

We know that each interval of 5!is one zero.
i.e. 5! has one zero.
10! has two zeros.
∴ 85! has 17 zeros.
Hence, the value of n is 85.

28. Find the value?

Correct Answer: (c)
Solution:

29. Simplify the problem given below?

Correct Answer: (b) ±3
Solution:

30. What is C(47, 4) + C(51, 3) + C(50 , 3) + C(48 , 3) + (47, 3) equal to?

Correct Answer: (c) C(52, 4)
Solution: