1
UPSC Civil Service Prelims Paper II 2023 (CSAT)
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
D is a 3-digit number such that the ratio of the number to the sum of its digits is least. What is the difference between the digit at the hundred's place and the digit at the unit's place of D?
A
0
B
7
C
8
D
9
2
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
3
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
4
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
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