MATHEMATICS (NDA/NA SOLVED PAPER 2022-I) (51 to 100)

Total Questions: 50

1. If the sum the first 9 terms of AP equal to sum of the first 11 terms, then what is the sum of the first 20 terms?

Correct Answer: (d) 0
Solution:

2. If the 5th term of an AP is 1/10 and its 10th term is 1/5, then what is the sum of first 50 terms?

Correct Answer: (b) 25.5
Solution:

3. What is (1110011)₂ ÷ (10111)₂ equal to?

Correct Answer: (a) (101)₂
Solution:

4. If x³ + y³ = (100010111)₂, and x + y =(1111)₂ then what is (x - y)² + xy equal to?

Correct Answer: (b) (1001)₂
Solution:

5. Consider the inequations 5x - 4y + 12 < 0, x + y < 2, x 0. Which one of the following points lies in the common region?

Correct Answer: (d) (-1,2)
Solution:Since, satisy all inequation so,(-1,2) lies in region

6. Consider the following statements in respect of the function y = [x], x ∈ (- 1, 1) where [.] is the greatest integer function:

1. Its derivative is 0 at x = 0.5
2. It is continuous at x = 0
Which of the above statements is/are correct?

Correct Answer: (a) 1 only
Solution:

7. What is the degree of the differential equation

Correct Answer: (d) 4
Solution:

8. A radioactive substance decays at a rate proportional to the amount of substance present. If half of the substance decays in 100 years, then what is the decay constant (proportionality constant)?

Correct Answer: (a)
Solution:

9. What is the domain of the function f(x) = √1 - (x - 1)²?

Correct Answer: (d) [0,2]
Solution:

10. The area of the region bounded by the parabola y²= 4kx, where k > 0 and its latus rectum is 24 square units. What is the value of k?

Correct Answer: (c) 3
Solution: