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

Total Questions: 50

11. If x + log₁₅ (1 + 3ˣ) = x log₁₅ 5 + log₁₅ 12, where x is an integer, then what is x equal to?

Correct Answer: (c) 1
Solution:

12. How many four-digit numbers divisible by 10 can be formed using 1, 5, 0, 6, 7 without repetition of digits?

Correct Answer: (a) 24
Solution:

We have to form four digit numbers which are divisible by 10 and using 1, 5, 0, 6, 7. Since numbers must be divisible by 10, so unit place must be zero.
∴ Total number of such numbers = Permutations of three digits using 1, 5, 6, 7

13. Questions:- (13 to 14) Consider the information given below and answer the two items that follow:

In a class, 54 students are good in Hindi only, 63 students are good in Mathematics only and 41 students are good in English only.
There are 18 students who are good in both Hindi and Mathematics. 10 students are good in all three subjects.
What is the number of students who are good in either Hindi or Mathematics but not English?

Correct Answer: (c) 125
Solution:

14. What is the number of students who are good in Hindi and Mathematics but not in English?

Correct Answer: (d) 8
Solution:

15. Find the answer of given question?

Correct Answer: (c) 1
Solution:

16. The equation |1 - x| + x² = 5 has:

Correct Answer: (a) a rational root and an irrational root
Solution:

17. The binary number expression of the decimal number 31 is:

Correct Answer: (d) 11111
Solution:

18. Find the answer of given equation?

Correct Answer: (a) 0
Solution:

19. Find the answer of given equation?

Correct Answer: (a)
Solution:

20. The modulus-amplitude form of √3 + i, where i = √−1 is:

Correct Answer: (b)
Solution: