1
UPSC Civil Service Prelims Paper II 2025 (CSAT)
MCQ (Single Correct Answer)
+2.5
-0.883

Trust stands commonly defined as being vulnerable to others. Entrepreneurship implies trust in others and willingness to expose oneself to betrayal. Trust in expert systems is the essence of globalising behaviour; trust itself emerges as a supercommodity in the social market and defines the characteristics of goods and services in a global market. Trusting conduct also means holding others in good esteem, and an optimism that they are, or will be, competent in certain respects.

Let $p+q=10$, where $p, q$ are integers.

Value-I $=$ Maximum value of $\mathbf{p} \times \mathbf{q}$ when $\mathbf{p}, \mathbf{q}$ are positive integers.

Value-II $=$ Maximum value of $p \times q$ when $p \geq-6, q \geq-4$.

Which one of the following is correct?

A

Value-I < Value-II

B

Value-II < Value-I

C

Value-I = Value-II

D

Cannot be determined due to insufficient data

2
UPSC Civil Service Prelims Paper II 2025 (CSAT)
MCQ (Single Correct Answer)
+2.5
-0.883

Trust stands commonly defined as being vulnerable to others. Entrepreneurship implies trust in others and willingness to expose oneself to betrayal. Trust in expert systems is the essence of globalising behaviour; trust itself emerges as a supercommodity in the social market and defines the characteristics of goods and services in a global market. Trusting conduct also means holding others in good esteem, and an optimism that they are, or will be, competent in certain respects.

Consider a set of 11 numbers:

Value-I = Minimum value of the average of the numbers of the set when they are consecutive integers $\geq-5$.

Value-II = Minimum value of the product of the numbers of the set when they are consecutive non-negative integers.

Which one of the following is correct?

A

Value-I < Value-II

B

Value-II < Value-I

C

Value-I = Value-II

D

Cannot be determined due to insufficient data

3
UPSC Civil Service Prelims Paper II 2025 (CSAT)
MCQ (Single Correct Answer)
+2.5
-0.883

Trust stands commonly defined as being vulnerable to others. Entrepreneurship implies trust in others and willingness to expose oneself to betrayal. Trust in expert systems is the essence of globalising behaviour; trust itself emerges as a supercommodity in the social market and defines the characteristics of goods and services in a global market. Trusting conduct also means holding others in good esteem, and an optimism that they are, or will be, competent in certain respects.

The average of three numbers $p, q$ and $r$ is $k . p$ is as much more than the average as $q$ is less than the average. What is the value of $r$ ?

A

k

B

$\mathrm{k}-1$

C

$\mathrm{k}+1$

D

$\mathrm{k} / 2$

4
UPSC Civil Service Prelims Paper II 2025 (CSAT)
MCQ (Single Correct Answer)
+2.5
-0.883

Trust stands commonly defined as being vulnerable to others. Entrepreneurship implies trust in others and willingness to expose oneself to betrayal. Trust in expert systems is the essence of globalising behaviour; trust itself emerges as a supercommodity in the social market and defines the characteristics of goods and services in a global market. Trusting conduct also means holding others in good esteem, and an optimism that they are, or will be, competent in certain respects.

Let $x$ be a real number between 0 and 1 . Which of the following statements is/are correct?

I. $x^2>x^3$.

II. $x>\sqrt{x}$.

Select the correct answer using the code given below:

A

I only

B

II only

C

Both I and II

D

Neither I nor II