UPSC Prelims Questions

Q.8983Miscellaneous2017Easy

The figure drawn below gives the velocity graphs of two vehicles A and B. The straight line OKP represents the velocity of vehicle A at any instant, whereas the horizontal straight line CKD represents the velocity of vehicle B at any instant. In the figure, D is the point where perpendicular from P meets the horizontal line CKD such that PD= 1/2 LD : What is the ratio between the distances covered by vehicles A and B in the time interval OL?

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Q.8984Polity2017Medium

The mind of the makers of the Constitution of India is reflected in which of the following?

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Q.8985Art & Culture2017Medium

With reference to the difference between the culture of Rigvedic Aryans and Indus Valley people, which of the following statements is/are correct? 1. Rigvedic Aryans used the coat of mail and helmet in warfare whereas the people of Indus Valley Civilization did not leave any evidence of using them. 2. Rigvedic Aryans knew gold, silver and copper whereas Indus Valley people knew only copper and iron. 3. Rigvedic Aryans had domesticated the horse whereas there is no evidence of Indus Valley people having been aware of this animal. Select the correct answer using the code given below:

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Q.8986Science & Technology2017Medium

With reference to the religious history of India, consider the following statements: 1. Sautrantika and Sammitiya were the sects of Jainism. 2. Sarvastivadin held that the constituents of phenomena were not wholly momentary, but existed forever in a latent form. Which of the statements given above is/are correct?

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Q.8987Art & Culture2017Medium

The painting of bodhisattva padmapani is one of the most famous and oft-illustrated paintings at

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Q.8988Miscellaneous2016Easy

Let f(x) = [x], where [·] is the greatest integer function and g(x) = sin x be two real valued functions over R. Which of the following statements are correct ? 1. (fog)(x) = f(g(x)). 2.(gof)(x) = g(f(x)). 3.(fog)(x) = g(f(x)) only when x = 0. 4.(fog)(x) can take only three values. Select the correct answer using the code given below :

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Q.8989Miscellaneous2016Easy

Let f(x) = { (e^x – 1)/x, x > 0 0, x = 0 } be a real valued function. Which one of the following statements is correct ?

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Q.8990Miscellaneous2016Easy

Three candidates solve a question. Odds in favour of the correct answer are 5:2, 4:3 and 3:4 respectively for the three candidates. What is the probability that at least two of them solve the question correctly?

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Q.8991Miscellaneous2016Easy

Let f(x) = { (e^x – 1)/x, x > 0 0, x = 0 } be a real valued function. Which of the following statements is/are correct ? 1. f(x) is right continuous at x = 0. 2. f(x) is discontinuous at x = 1. Select the correct answer using the code given below :

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Q.8992Miscellaneous2016Easy

A student appears for tests I, II and III. The student is considered successful if he passes in tests I, II or I, III or all three. The probabilities of the student passing in tests I, II and III are m, n and 1/2 respectively. If the probability of the student to be successful is 1/2, then which one of the following is correct?

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Q.8993Miscellaneous2016Easy

Consider the parabola y = x² + 7x + 2 and the straight line y = 3x – 3. What are the coordinates of the point on the parabola which is closest to the straight line ?

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Q.8994Miscellaneous2016Easy

Consider the parabola y = x² + 7x + 2 and the straight line y = 3x – 3. What is the shortest distance from the above point on the parabola to the line ?

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Q.8995Miscellaneous2016Easy

Let f(x) = { –2, –3 ≤ x ≤ 0 –x – 2, 0 < x ≤ 3 } and g(x) = f(|x|) + |f(x)| Which of the following statements are correct ? 1.g(x) is continuous at x = 0. 2.g(x) is continuous at x = 2. 3.g(x) is continuous at x = –2. Select the correct answer using the code given below :

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Q.8996Miscellaneous2016Easy

Let f(x) = { –2, –3 ≤ x ≤ 0 –x – 2, 0 < x ≤ 3 } and g(x) = f(|x|) + |f(x)| What is the value of the differential coefficient of g(x) at x = –2 ?

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Q.8997Miscellaneous2016Easy

Let f(x) = { –2, –3 ≤ x ≤ 0 –x – 2, 0 < x ≤ 3 } and g(x) = f(|x|) + |f(x)| Which of the following statements is/are correct ? g(x) is differentiable at x = 0. g(x) is differentiable at x = 2. Select the correct answer using the code given below :

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Q.8998Miscellaneous2016Easy

Which one of the following statements is not correct?

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Q.8999Miscellaneous2016Easy

The setting time of cement is lowered by adding

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Q.9000Miscellaneous2016Easy

Two balls, A and B, are thrown simultaneously, A vertically upward with a speed of 20 m/s from the ground and B vertically downward from a height of 40 m with the same speed and along the same line of motion. At what points do the two balls collide by taking acceleration due to gravity as 9.8 m/s²?

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UPSC Prelims Questions

The mind of the makers of the Constitution of India is reflected in which of the following?

The painting of bodhisattva padmapani is one of the most famous and oft-illustrated paintings at

Let f(x) = { (e^x – 1)/x, x > 0 0, x = 0 } be a real valued function. Which one of the following statements is correct ?

Three candidates solve a question. Odds in favour of the correct answer are 5:2, 4:3 and 3:4 respectively for the three candidates. What is the probability that at least two of them solve the question correctly?

Let f(x) = { (e^x – 1)/x, x > 0 0, x = 0 } be a real valued function. Which of the following statements is/are correct ? 1. f(x) is right continuous at x = 0. 2. f(x) is discontinuous at x = 1. Select the correct answer using the code given below :

Consider the parabola y = x² + 7x + 2 and the straight line y = 3x – 3. What are the coordinates of the point on the parabola which is closest to the straight line ?

Consider the parabola y = x² + 7x + 2 and the straight line y = 3x – 3. What is the shortest distance from the above point on the parabola to the line ?

Let f(x) = { –2, –3 ≤ x ≤ 0 –x – 2, 0 < x ≤ 3 } and g(x) = f(|x|) + |f(x)| Which of the following statements are correct ? 1.g(x) is continuous at x = 0. 2.g(x) is continuous at x = 2. 3.g(x) is continuous at x = –2. Select the correct answer using the code given below :

Let f(x) = { –2, –3 ≤ x ≤ 0 –x – 2, 0 < x ≤ 3 } and g(x) = f(|x|) + |f(x)| What is the value of the differential coefficient of g(x) at x = –2 ?

Let f(x) = { –2, –3 ≤ x ≤ 0 –x – 2, 0 < x ≤ 3 } and g(x) = f(|x|) + |f(x)| Which of the following statements is/are correct ? g(x) is differentiable at x = 0. g(x) is differentiable at x = 2. Select the correct answer using the code given below :

Which one of the following statements is not correct?

The setting time of cement is lowered by adding

Two balls, A and B, are thrown simultaneously, A vertically upward with a speed of 20 m/s from the ground and B vertically downward from a height of 40 m with the same speed and along the same line of motion. At what points do the two balls collide by taking acceleration due to gravity as 9.8 m/s²?

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