Mathematics NDA/NA SOLVED PAPER 2018 (II) (01 to 50)

Total Questions: 50

21. The system of equations 2x + y - 3z = 5 , 3x - 2y + 2z = 5, and 5x - 3y - z = 16?

Correct Answer: (b) is consistent, with a unique solution
Solution:

22. Which one of the following is correct in respect of the cube roots of unity?

Correct Answer: (c) They form an equilateral triangle
Solution:

23. Find the answer of given question?

Correct Answer: (a) 0
Solution:

24. Let the coefficient of the middle term of the binomial expansion of (1 + x)²ⁿ be α and those of two middle terms of the binomial expansion of (1 + x)²ⁿ ⁻ ¹ be β and γ. Which one of the following relations is correct?

Correct Answer: (c) α = β + γ
Solution:

25. Answer the following question?

Correct Answer: (d) S is not a function
Solution:Given that,
By vertical line test. when we draw a vertical line, then line cuts the circle in two points. Hence, S is not a function.

26. Find the answer of given equation?

Correct Answer: (c) 1
Solution:

27. Suppose f(x) is such a quadratic expression that it is positive for all real x.

If g(x) = f(x) + f'(x) + f"(x), then for any real x

Correct Answer: (b)
Solution:

28. Consider the following in respect of matrices A, B and C of same order.

1. (A + B + C)' = A' +B' + C'
2. (AB)' = A' B'
3. (ABC)' = C' B' A'
Where A′ is the transpose of the matrix A.
Which of the above are correct?

Correct Answer: (c) 1 and 3
Solution:

29. The sum of the binary numbers (11011)₂ , (10110110)₂ and (10011x0y)₂ x y is the binary numbers (101101101)₂. What are the values of x and y?

Correct Answer: (b) x = 1, y = 0
Solution:

30. Let matrix B be the adjoint of a square matrix A, I be the identity matrix of same order as A. If k(≠ 0) is the determinant of the matrix A, then what is AB equal to?

Correct Answer: (b) kl
Solution: