UPSC Prelims Questions

Q.1963Miscellaneous2023Easy

In this question each item consists of a sentence with an underlined word followed by four words. Select the option that is opposite in meaning to the underlined word and mark your response in your Answer Sheet accordingly. The experience of Covid Pandemic was excruciating for much of the population.

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Q.1964Miscellaneous2023Easy

In this question each item consists of a sentence with an underlined word followed by four words. Select the option that is opposite in meaning to the underlined word and mark your response in your Answer Sheet accordingly. His ostentatious behaviour surprised everyone.

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Q.1965Miscellaneous2023Easy

People by and large are concerned with and pursue self-interest. They are unlikely to be motivated under a prudent and sustainable fashion. They are unlikely to be motivated under the following conditions: if their resources are limited, or if the degradation of any particular portion affects them very little; or if they have vast, or that degradation of any particular portion affects them very little; or if they have vast, or that degradation of any particular portion affects them very little; or if they have open before them possibilities of substitution as any one resource element is depleted, or if their control over the resource base is tenuous, so that others may, at any time, deplete a resource they value, even if they use it in a restrained fashion. Indeed, exhaustive use is highly likely when any one of these three conditions obtains. It is only when people perceive their resource catchments as limited, and their control over the resource base as not readily feasible, and when they are motivated by the necessity of maintaining the resource base in a locality, retaining control over their resource base are most likely to fulfill three prerequisites for sustainable resource use; and therefore to behave in ways conducive to the conservation of biodiversity within their localities. People rooted in a locality

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Q.1966Miscellaneous2023Easy

Match List I with List II and select the correct answer using the code given below the Lists : List I (Chemical process) List II (Reaction) A. Electrolysis of water 1. Double displacement reaction B. Burning of coal 2. Combination reaction C. Iron nail immersed in copper sulphate solution 3. Decomposition reaction D. Addition of barium chloride solution to aluminium sulphate solution 4. Displacement reaction

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Q.1967Miscellaneous2023Easy

In this question each item consists of a sentence with an underlined word followed by four words. Select the option that is opposite in meaning to the underlined word and mark your response in your Answer Sheet accordingly. A trip to the hills was refreshing .

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Q.1968Miscellaneous2023Easy

Let f(x) = x + 6, for x ≤ 1 f(x) = px + q, for 1 < x < 2 f(x) = 5x, for x ≥ 2 If f(x) is continuous, what is the value of p?

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Q.1969Miscellaneous2023Easy

Let f(x) = x + 6, for x ≤ 1 f(x) = px + q, for 1 < x < 2 f(x) = 5x, for x ≥ 2 If f(x) is continuous, what is the value of q?

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Q.1970Miscellaneous2023Easy

Consider the following statements: 1.f(x) = ln x is increasing in (0, ∞) 2.g(x) = e^x + e^(1/x) is decreasing in (0, ∞) Which of the above is/are correct?

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Q.1971Miscellaneous2023Easy

What is the number of common roots of equation-I and equation-II?

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Q.1972Miscellaneous2023Easy

For what value of m < 0 is the area bounded by the lines y = x, y = mx, and x = 2 equal to 3?

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Q.1973Miscellaneous2023Easy

Let f(x) = |ln x|, x ≠ 1. What is the derivative of f(x) at x = 2?

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Q.1974Miscellaneous2023Easy

Let f(x) = [ ax(x + 1) + b, x < 1 [ x − 1, 1 ≤ x ≤ 2 If the function f(x) is differentiable at x = 1, then what is the value of (a + b) ?

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Q.1975Miscellaneous2023Easy

A function is defined by f(x) = | x + 1 2 3 | | 2 x + 4 6 | | 3 6 x + 9 | The function attains local minimum value at :

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Q.1976Miscellaneous2023Easy

A parabola passes through (1, 2) and satisfies the differential equation dy/dx = 2y/x, x > 0, y > 0. What is the directrix of the parabola ?

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Q.1977Miscellaneous2023Easy

A parabola passes through (1, 2) and satisfies the differential equation dy/dx = 2y/x, x > 0, y > 0. What is the length of latus rectum of the parabola ?

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Q.1978Miscellaneous2023Easy

Let f(x) = [ (x − 3)/|x − 3| + a, x < 3 a − b, x = 3 [ (x − 3)/|x − 3| + b, x > 3 f(x) be continuous at x = 3. What is the value of a ?

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Q.1979Miscellaneous2023Easy

Consider the following statements: 1. The relation f defined by f(x) = { x³, 0 ≤ x ≤ 2 4x, 2 ≤ x ≤ 8 } is a function. 2. The relation g defined by g(x) = { x², 0 ≤ x ≤ 4 3x, 4 ≤ x ≤ 8 } is a function. Which of the statements given above is/are correct?

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Q.1980Miscellaneous2023Easy

Consider the following statements: 1. A = (A ∪ B) ∪ (A – B) 2. A ∪ (B – A) = (A ∪ B) 3. B = (A ∪ B) – (A – B) Which of the statements given above are correct?

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UPSC Prelims Questions

In this question each item consists of a sentence with an underlined word followed by four words. Select the option that is opposite in meaning to the underlined word and mark your response in your Answer Sheet accordingly. His ostentatious behaviour surprised everyone.

In this question each item consists of a sentence with an underlined word followed by four words. Select the option that is opposite in meaning to the underlined word and mark your response in your Answer Sheet accordingly. A trip to the hills was refreshing .

Let f(x) = x + 6, for x ≤ 1 f(x) = px + q, for 1 < x < 2 f(x) = 5x, for x ≥ 2 If f(x) is continuous, what is the value of p?

Let f(x) = x + 6, for x ≤ 1 f(x) = px + q, for 1 < x < 2 f(x) = 5x, for x ≥ 2 If f(x) is continuous, what is the value of q?

Consider the following statements: 1.f(x) = ln x is increasing in (0, ∞) 2.g(x) = e^x + e^(1/x) is decreasing in (0, ∞) Which of the above is/are correct?

What is the number of common roots of equation-I and equation-II?

For what value of m < 0 is the area bounded by the lines y = x, y = mx, and x = 2 equal to 3?

Let f(x) = |ln x|, x ≠ 1. What is the derivative of f(x) at x = 2?

Let f(x) = [ ax(x + 1) + b, x < 1 [ x − 1, 1 ≤ x ≤ 2 If the function f(x) is differentiable at x = 1, then what is the value of (a + b) ?

A function is defined by f(x) = | x + 1 2 3 | | 2 x + 4 6 | | 3 6 x + 9 | The function attains local minimum value at :

A parabola passes through (1, 2) and satisfies the differential equation dy/dx = 2y/x, x > 0, y > 0. What is the directrix of the parabola ?

A parabola passes through (1, 2) and satisfies the differential equation dy/dx = 2y/x, x > 0, y > 0. What is the length of latus rectum of the parabola ?

Let f(x) = [ (x − 3)/|x − 3| + a, x < 3 a − b, x = 3 [ (x − 3)/|x − 3| + b, x > 3 f(x) be continuous at x = 3. What is the value of a ?

Consider the following statements: 1. The relation f defined by f(x) = { x³, 0 ≤ x ≤ 2 4x, 2 ≤ x ≤ 8 } is a function. 2. The relation g defined by g(x) = { x², 0 ≤ x ≤ 4 3x, 4 ≤ x ≤ 8 } is a function. Which of the statements given above is/are correct?

Consider the following statements: 1. A = (A ∪ B) ∪ (A – B) 2. A ∪ (B – A) = (A ∪ B) 3. B = (A ∪ B) – (A – B) Which of the statements given above are correct?

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