1
UPSC Civil Service Prelims Paper II 2024 (CSAT)
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

$222^{333} + 333^{222}$ is divisible by which of the following numbers?

A

2 and 3 but not 37

B

3 and 37 but not 2

C

2 and 37 but not 3

D

2, 3 and 37

2
UPSC Civil Service Prelims Paper II 2024 (CSAT)
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Consider the following statements in respect of the sum $S = x + y + z$, where $x, y$ and $z$ are distinct prime numbers each less than 10:

1. The unit digit of $S$ can be 0.

2. The unit digit of $S$ can be 9.

3. The unit digit of $S$ can be 5.

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 2024 (CSAT)
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Let $X$ be a two-digit number and $Y$ be another two-digit number formed by interchanging the digits of $X$. If $(X + Y)$ is the greatest two-digit number, then what is the number of possible values of $X$?

A

2

B

4

C

6

D

8

4
UPSC Civil Service Prelims Paper II 2024 (CSAT)
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

$32^5 + 2^{27}$ is divisible by

A

3

B

7

C

10

D

11

UPSC Civil Service Subjects
Comprehension
Data Interpretation and Sufficiency
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