SOLVED PAPER 2023 (CDS) (II) (Elementary Mathematics)

Total Questions: 100

1. Find the value of this -

Correct Answer: (d) 1
Solution:

2. If (x - 1)³ is a factor of x⁴+ αx³+ βx² + ϒx - 1, then the other factor will be

Correct Answer: (a) x + 1
Solution:

3. A 2-digit number is such that the sum of the number and the number obtained by reversing the order of the digits of the number is 55. Further, the difference of the given number and the number obtained by reversing the order of the digits of the number is 45. What is the product of the digits?

Correct Answer: (d) 0
Solution:

4. If A and B can finish a work in 10 days, B and C can finish the same work in 12 days, C and A can finish the same work in 15 days, then in how many days can A, B and C together finish half of the work?

Correct Answer: (c) 4 days
Solution:

5. A person borrowed 10000 at 12% rate of interest per annum compounded quarterly for a period of 9 months. What is the interest paid by him to settle his account after 9 months?

Correct Answer: (a) ₹927.27
Solution:We have, P=₹10000,
R=12/4 = 3%, T=9monts

6. Find the value of this -

Correct Answer: (a) a = b
Solution:

7. Three persons A, B and C together can do a piece of work in 36 days. A and B together can do five times as much work as Calone; B and C together can do as much work as A alone. If A and C together can do n times as much work as B alone, then what is the value of n?

Correct Answer: (b) 2
Solution:

8. Find the value of this -

Correct Answer: (b)
Solution:

9. The sum of deviations of n numbers from 10 and 20 are a, b respectively. If b/a = - 4 then what is the mean of these n numbers?

Correct Answer: (a) 12
Solution:

10. If the median of observations 12, 1, 8, 54, 61, 28, 45, 35, 21, 17 is M, then what is the value of 2M + 5?

Correct Answer: (d) 54
Solution: