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

Total Questions: 50

1. If both p and q belong to the set {1,2,3,4}, then how many equations of the form px² + qx + 1 = 0 will have real roots?

Correct Answer: (d) 6
Solution:

2. What is the value of 1 - 2 + 3 - 4 + 5 -.........+101?

Correct Answer: (a) 51
Solution:

3. If A B, and C are subsets of a given set, then which one of the following relations is not correct?

Correct Answer: (a) A ∪ (A ∩ B) = A ∪ B
Solution:

4. If the sum of first n terms of a series is (n + 12), then what is its third term?

Correct Answer: (a) 1
Solution:

5. What is the value of k for which the sum of the squares of the roots of 2x² - 2(K - 2)x - (K + 1) = 0 is minimum?

Correct Answer: (c) 3/2
Solution:

6. If the roots of the equation a(b - c)x² + b(c - a)x + c(a - b) = 0 are equal, then which one of the following is correct?

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

7. If |x² - 3x + 2| >x² - 3x + 2, then which one of the following is correct?

(a) x ≤ 1 or x ≥ 2
(b) 1 ≤ x ≤ 2
(c) 1< x < 2
(d) x is any real value except 3 and 4

Correct Answer: (c)
Solution:

8. A geometric progression (GP) consists of 200 terms. If the sum of odd terms of the GP is m, and the sum of even terms of the GP is n, then what is its common ratio?

Correct Answer: (b) n / m
Solution:

9. If a set A contains 3 elements and another set B contains 6 elements, then what is the minimum number of elements that (A ∪ B) can have?

Correct Answer: (b) 6
Solution:

10. What is the number of diagonals of an octagon?

Correct Answer: (d) 20
Solution: