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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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  2. /Prelims Questions
Q.12781·Miscellaneous·2013·Easy

Four coins are tossed simultaneously. What is the probability of getting exactly 2 heads?

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Q.12782·Miscellaneous·2013·Easy

Variance is always independent of the change of

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Q.12783·Miscellaneous·2013·Easy

Marks obtained by 7 students in a subject are 30, 55, 75, 90, 50, 60, 39. The number of students securing marks less than the mean marks is

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Q.12784·Miscellaneous·2013·Easy

The average marks obtained by the students in a class are 48. If the average marks obtained by 25 boys are 40 and the average marks obtained by the girl students are 48, then what is the number of girl students in the class?

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Q.12785·Miscellaneous·2013·Easy

In how many ways can the letters of the word 'GLOOMY' be arranged so that the two O's should not be together?

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Q.12786·Miscellaneous·2013·Easy

Consider the following frequency distribution : If the total of the frequencies is 100 and mode is 25, then which one of the following is correct?

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Q.12787·Miscellaneous·2013·Easy

Which one of the following vectors is normal to the vector i^ + j^ + k^ ?

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Q.12788·Miscellaneous·2013·Easy

Consider the following statements : 1. Both variance and standard deviation are measures of variability in the population. 2. Standard deviation is the square of the variance. Which of the above statements is/are correct?

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Q.12789·Miscellaneous·2013·Easy

The binomial distribution has

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Q.12790·Miscellaneous·2013·Easy

The standard deviation of the observations 5, 5, 5, 5, 5 is

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Q.12791·Miscellaneous·2013·Easy

If two lines of regression are perpendicular, then the correlation coefficient r is

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Q.12792·Miscellaneous·2013·Easy

The marks obtained by 13 students in a test are 10, 3, 10, 12, 9, 7, 9, 6, 7, 10, 8, 6, 7. The median of this data is

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Q.12793·Miscellaneous·2013·Easy

What is the area of the triangle whose vertices are (0, 0, 0), (1, 2, 3) and (-3, -2, 1)?

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Q.12794·Miscellaneous·2013·Easy

What is the distance between the planes x - 2y + z - 1 = 0 and -3x + 6y - 3z + 2 = 0?

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Q.12795·Miscellaneous·2013·Easy

If a line makes 30° with the positive direction of x-axis, angle β with the positive direction of y-axis and angle γ with the positive direction of z-axis, then what is cos²β + cos²γ equal to?

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Q.12796·Miscellaneous·2013·Easy

Consider the following statements in respect of a function f(x): 1. f(x) is continuous at x = a iff limₓ→ₐ f(x) exists. 2. If f(x) is continuous at a point, then 1/f(x) is also continuous at that point. Which of the above statements is/are correct?

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Q.12797·Miscellaneous·2013·Easy

The derivative of |x| at x = 0

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Q.12798·Miscellaneous·2013·Easy

Consider the following statements: 1. limₓ→₀ (1/x) does not exist. 2. limₓ→₀ (sin x / x) exists. Which of the above statements is/are correct?

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