Mathematics NDA/NA SOLVED PAPER 2017 (II) (101 to 120)

Total Questions: 20

1. A committee of two persons is selected from two men and two women. The probability that the committee will have exactly one woman is:

Correct Answer: (b) 2/3
Solution:

2. Let a die be loaded in such a way that even faces are twice likely to occur as the odd faces. What is the probability that a prime number will show up when the die is tossed?

Correct Answer: (c) 4/9
Solution:

3. Let the sample space consist of nonnegative integers up to 50, X denote the numbers which are multiples of 3 and Y denote the odd numbers. Which of the following is/are correct?

1. P (X) = 8/25
2. P (Y) = 1/2
Select the correct answer using the code given below.

Correct Answer: (d) Neither 1 nor 2
Solution:

4. Simplify the equation?

Correct Answer: (a) 1/6
Solution:

5. Consider the following statements :

1. Coefficient of variation depends on the unit of measurement of the variable.
2. Range is a measure of dispersion.
3. Mean deviation is least when measured about median.
Which of the above statements are correct?

Correct Answer: (a) 1 and 2 only
Solution:

Only statements 2 and 3 are correct

6. Given that the arithmetic mean and standard deviation of a sample of 15 observations are 24 and 0 respectively. Then which one of the following is the arithmetic mean of the smallest five observations in the data?

Correct Answer: (d) 24
Solution:

7. Which one of the following can be considered as appropriate pair of values of regression coefficient of y on x and regression coefficient of x on y?

Correct Answer: (a) (1, 1)
Solution:

8. Simplify the question?

Correct Answer: (c) 1/8
Solution:

9. In a binomial distribution, the mean is 2/3 and the variance is 5/9. What is the probability that X = 2?

Correct Answer: (c) 25/216
Solution:

10. The probability that a ship safely reaches a port is 1/3. The probability that out of 5 ships, at least 4 ships would arrive safely is:

Correct Answer: (c) 11/243
Solution: