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

How many consecutive zeros are there at the end of the integer obtained in the product $1^2 \times 2^4 \times 3^6 \times 4^8 \times \ldots \times 25^{50}$?

A

50

B

55

C

100

D

200

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

On January 1st, 2023, a person saved ₹1. On January 2nd, 2023, he saved ₹2 more than that on the previous day. On January 3rd, 2023, he saved ₹2 more than that on the previous day and so on. At the end of which date was his total savings a perfect square as well a perfect cube?

A

7th January, 2023

B

8th January, 2023

C

9th January, 2023

D

Not possible

3
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

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

What percent of water must be mixed with honey so as to gain 20% by selling the mixture at the cost price of honey?

A

20%

B

10%

C

5%

D

4%

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