SOLVED PAPER 2022 (CDS) (I) (Elementary Mathematics)

Total Questions: 100

21. 27⁵ + 3¹³ is divisible by

Correct Answer: (b) 10
Solution:

22. Let p = 2²ⁿ⁺²+ m and q = 2⁴ⁿ - m

(where n is an even natural number).
What should be the least value of m
such that p as well as q is divisible by 5?.

Correct Answer: (b) 1
Solution:

23. If squaring a positive real number x is same as adding 12, then what is x equal to?

Correct Answer: (c) 4
Solution:

24. Solved

Correct Answer: (d)
Solution:

25. Solved

Correct Answer: (d) ¹⁰⁄₂₉
Solution:

26. Solved

Correct Answer: (a) 2
Solution:

27. 8 men or 12 women can do a piece of work in 24 days. In how many days can the work be done by 8 men and 12 women?

Correct Answer: (a) 12 days
Solution:

28. A car takes p minutes to travel a distance of 350 km with an average speed of u km/h. Another car takes q minutes to travel the same distance with an average speed of v km/h. If u - v = 5 and q - p = 140 then what is the value of u?

Correct Answer: (b) 30
Solution:

29. How many minutes are there in x weeks and x days?

Correct Answer: (a) 11520 x
Solution:There are seven days in a week,
24 h in a day and 60 min in one hour.
Total minutes in x weeks and x days.
= (x × 7 × 24 × 60) + (x × 24  60)
= 24 × 60x[7 + 1] = 24 * 60 × 8x
= 11520x

30. The arithmetic mean and the geometric mean of two positive numbers p and q (p > q) are A and G, respectively. Which one of the following is correct?

Correct Answer: (a) A > G
Solution: