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

Three numbers x, y, z are selected from the set of the first seven natural numbers such that x > 2y > 3z. How many such distinct triplets (x, y, z) are possible?

A

One triplet

B

Two triplets

C

Three triplets

D

Four triplets

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

The total cost of 4 oranges, 6 mangoes and 8 apples is equal to twice the total cost of 1 orange, 2 mangoes and 5 apples.

Consider the following statements:

1. The total cost of 3 oranges, 5 mangoes and 9 apples is equal to the total cost of 4 oranges, 6 mangoes and 8 apples.

2. The total cost of one orange and one mango is equal to the cost of one apple.

Which of the statements given above 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 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

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

Let $p$ and $q$ be positive integers satisfying $p < q$ and $p + q = k$. What is the smallest value of $k$ that does not determine $p$ and $q$ uniquely?

A

3

B

4

C

5

D

6

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