1
UPSC Civil Service Prelims Paper II 2024 (CSAT)
+2.5
-0.833

In the expression $5 * 4 * 3 * 2 * 1$, * is chosen from $+$, $-$, $\times$ each at most two times. What is the smallest non-negative value of the expression?

A

3

B

2

C

1

D

0

2
UPSC Civil Service Prelims Paper II 2024 (CSAT)
+2.5
-0.833

A father said to his son, "n years back I was as old as you are now. My present age is four times your age n years back". If the sum of the present ages of the father and the son is 130 years, what is the difference of their ages?

A

30 years

B

32 years

C

34 years

D

36 years

3
UPSC Civil Service Prelims Paper II 2024 (CSAT)
+2.5
-0.833

Let $p, q, r$ and $s$ be distinct positive integers. Let $p, q$ be odd and $r, s$ be even. Consider the following statements :

1. $(p - r) (qs)$ is even.

2. $(q - s) q^2 s$ is even.

3. $(q + r)^2 (p + s)$ is odd.

Which of the statements given above are correct?

A

1 and 2 only

B

2 and 3 only

C

1 and 3 only

D

1, 2 and 3

4
UPSC Civil Service Prelims Paper II 2024 (CSAT)
+2.5
-0.833

If the sum of the two-digit numbers AB and CD is the three-digit number 1CE, where the letters A, B, C, D, E denote distinct digits, then what is the value of A?

A

9

B

8

C

7

D

Cannot be determined due to insufficient data

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