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Prelims

UPSC Prelims Questions

Practice UPSC Prelims MCQs by subject and year. Free questions with explanations for focused revision.

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Q.8983·Miscellaneous·2016·Easy

Emulsion is known as a

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Q.8984·Miscellaneous·2016·Easy

If one mixes up ashes with animal fat, the substance received in the crude form is called

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Q.8985·Miscellaneous·2016·Easy

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.8986·Miscellaneous·2016·Easy

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.8987·Miscellaneous·2016·Easy

What are the degree and order respectively of the differential equation satisfying e^(y'') - x^2 (y')^2 - y^2 = c e^x , (where c > 0, |x| < 1, |y| < 1)?

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Q.8988·Miscellaneous·2016·Easy

What is the curve which passes through the point (1,1) and whose slope is 2y/3x ?

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Q.8989·Miscellaneous·2016·Easy

If x dy = y dx + y^2 dy, y &gt; 0 and y(1) = 1, then what is y(-3) equal to?

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Q.8990·Miscellaneous·2016·Easy

Which one of the following differential equations represents the family of straight lines which are at unit distance from the origin?

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Q.8991·Miscellaneous·2016·Easy

A special dice with numbers 1, -1, 2, -2, 0 and 3 is thrown thrice. What is the probability that the sum of the numbers occurring on the upper face is zero?

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Q.8992·Miscellaneous·2016·Easy

There is 25% chance that it rains on any particular day. What is the probability that there is at least one rainy day within a period of 7 days?

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Q.8993·Miscellaneous·2016·Easy

A salesman has a 70% chance to sell a product to any customer. The behaviour of successive customers is independent. If two customers A and B enter, what is the probability that the salesman will sell the product to customer A or B?

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Q.8994·Miscellaneous·2016·Easy

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.8995·Miscellaneous·2016·Easy

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.8996·Miscellaneous·2016·Easy

Consider the following statements: 1.The mean and median are equal in symmetric distribution. 2.The range is the difference between the maximum value and the minimum value in the data. 3.The sum of the areas of the rectangles in the histogram is equal to the total area bounded by the frequency polygon and the horizontal axis. Which of the above statements are correct?

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Q.8997·Miscellaneous·2016·Easy

The scores of 15 students in an examination were recorded as: 10, 5, 8, 16, 18, 20, 8, 10, 16, 20, 18, 11, 16, 14 and 12. After calculating the mean, median and mode, an error is found. One of the values "20" is wrongly written as "16" instead of "20". Which of the following measures of central tendency will change?

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Q.8998·Miscellaneous·2016·Easy

For 10 observations on price (x) and supply (y), the following data was obtained: Σx = 130, Σy = 220, Σx^2 = 2288, Σy^2 = 5506 and Σxy = 3467. What is the line of regression of y on x?

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Q.8999·Miscellaneous·2016·Easy

In a study of two groups, the following results were obtained: Group A: Sample size = 20, Sample mean = 22, Sample standard deviation = 10 Group B: Sample size = 25, Sample mean = 12, Sample standard deviation = 12 Which of the following statements is correct?

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Q.9000·Miscellaneous·2016·Easy

Consider the following statements in respect of class intervals of grouped frequency distribution: 1.Class intervals need not be mutually exclusive. 2.Class intervals should be exhaustive. 3.Class intervals need not be of equal width. Which of the above statements are correct?

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