1
UPSC Civil Service Prelims Paper II 2023 (CSAT)
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Three of the five positive integers p, q, r, s, t are even and two of them are odd (not necessarily in order). Consider the following :

1. p + q + r - s - t is definitely even.

2. 2p + q + 2r - 2s + t is definitely odd.

Which of the above statements is/are correct?

A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2
2
UPSC Civil Service Prelims Paper II 2023 (CSAT)
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Consider the following in respect of prime number p and composite number c.

1. $\frac{\mathrm{p}+\mathrm{c}}{\mathrm{p}-\mathrm{c}}$ can be even.

2. 2p + c can be odd.

3. pc can be 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
3
UPSC Civil Service Prelims Paper II 2023 (CSAT)
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
A 3-digit number ABC, on multiplication with D gives 37DD where A, B, C and D are different non-zero digits. What is the value of A + B + C?
A
18
B
16
C
15
D
Cannot be determined due to insufficient data
4
UPSC Civil Service Prelims Paper II 2023 (CSAT)
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
For any choices of values of X, Y and Z, the 6-digit number of the form XYZXYZ is divisible by:
A
7 and 11 only
B
11 and 13 only
C
7 and 13 only
D
7, 11 and 13
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