1
UPSC Civil Service Prelims Paper II 2024 (CSAT)
MCQ (Single Correct Answer)
+2.5
-0.833
$222^{333} + 333^{222}$ is divisible by which of the following numbers?
2
UPSC Civil Service Prelims Paper II 2024 (CSAT)
MCQ (Single Correct Answer)
+2.5
-0.833
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?
3
UPSC Civil Service Prelims Paper II 2024 (CSAT)
MCQ (Single Correct Answer)
+2.5
-0.833
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 $X$?
4
UPSC Civil Service Prelims Paper II 2024 (CSAT)
MCQ (Single Correct Answer)
+2.5
-0.833
$32^5 + 2^{27}$ is divisible by
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