CDS II 2023 Elementary Mathematics Previous Year Paper (03-Sep-2023)

Question 1

If a2 - bc = &alpha;, b2 - ac = &beta;, c2 - ab = &gamma;, then what is $\rm \frac{a \alpha+b \beta+c \gamma}{(a+b+c)(\alpha+\beta+\gamma)}$ equal to ?

Accepted Answer

1

Answer

a + b - c

Answer

a - b + c

Answer

-a + b + c

Question 2

If (x - 1)3 is a factor of x4 + &alpha;x3 +  &beta;x2 + &gamma;x - 1, then the other factor will be:

Accepted Answer

x + 1

Answer

x - 3

Answer

x + 2

Answer

x

Question 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?

Accepted Answer

0

Answer

5

Answer

2

Answer

1

Question 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?

Accepted Answer

4 days

Answer

8 days

Answer

5 days

Answer

3 days

Question 5

A person borrowed Rs. 10,000 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?

Accepted Answer

Rs. 927.27

Answer

Rs. 947.47

Answer

Rs. 967.67

Answer

Rs. 987.87

CDS II 2023 Elementary Mathematics Previous Year Paper (03-Sep-2023)

CDS 2026 Mock Test Series