1
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
2
UPSC Civil Service Prelims Paper II 2023 (CSAT)
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
Let x be a positive integer such that 7x + 96 is divisible by x. How many values of x are possible?
A
10
B
11
C
12
D
Infinitely many
3
UPSC Civil Service Prelims Paper II 2023 (CSAT)
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
A number N is formed by writing 9 for 99 times. What is the remainder if N is divided by 13?
A
11
B
9
C
7
D
1
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