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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.7399·Miscellaneous·2018·Easy

The sides of a triangle are 5 cm, 6 cm and 7 cm. The area of the triangle is approximately

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Q.7400·Miscellaneous·2018·Easy

Let S be the parallelogram obtained by joining the mid-points of the parallelogram T. Consider the following statements: 1. The ratio of area of T to that of S is 2 : 1. 2. The perimeter of S is half of the sum of diagonals of T. Which of the above statements is/are correct?

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Q.7401·Miscellaneous·2018·Easy

Walls (excluding roofs and floors) of 5 identical rooms having length, breadth and height 6 m, 4 m and 2.5 m respectively are to be painted. Out of five rooms, two rooms have one square window each having a side of 2.5 m. Paints are available only in cans of 1 litre; and 1 litre of paint can be used for painting 20 square metres. The number of cans required for painting is

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Q.7402·Miscellaneous·2018·Easy

A circle is inscribed in an equilateral triangle of side of length l. The area of any square inscribed in the circle is

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Q.7403·Miscellaneous·2018·Easy

Consider the following statements : 1. cos θ + sec θ can never be equal to 1·5. 2. sec² θ + cosec² θ can never be less than 4. Which of the statements given above is/are correct?

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Q.7404·Miscellaneous·2018·Easy

Consider the following statements : 1. cos² θ = 1 – (p² + q²) / (2pq), where p, q are non-zero real numbers, is possible only when p = q. 2. tan² θ = (4pq / (p + q)²) – 1, where p, q are non-zero real numbers, is possible only when p = q. Which of the statements given above is/are correct?

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Q.7405·Miscellaneous·2018·Easy

Consider the following statements : 1. If (cos θ / (1 – sin θ)) + (cos θ / (1 + sin θ)) = 4, where 0 < θ < 90°, then θ = 60°. 2. If 3 tan θ + cot θ = 5 cosec θ, where 0 < θ < 90°, then θ = 60°. Which of the statements given above is/are correct?

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Q.7406·Miscellaneous·2018·Easy

On the top of a hemispherical dome of radius r, there stands a flag of height h. From a point on the ground, the elevation of the top of the flag is 30°. After moving a distance d towards the dome, when the flag is just visible, the elevation is 45°. The ratio of h to r is equal to

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Q.7407·Miscellaneous·2018·Easy

Consider the following statements : Statement I : Median can be computed even when the end intervals of a frequency distribution are open. Statement II : Median is a positional average. Which one of the following is correct in respect of the above statements?

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Q.7408·Miscellaneous·2018·Easy

An equilateral triangle, a square and a circle have equal perimeter. If T, S and C denote the area of the triangle, area of the square and area of the circle respectively, then which one of the following is correct?

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Q.7409·Miscellaneous·2018·Easy

P: must offer convincing solutions Q: The government and job markets R: to the crises in the rural economy S: that are causing social ferment

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Q.7410·Miscellaneous·2018·Easy

If the diagonal of a cube is of length l, then the total surface area of the cube is

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Q.7411·Miscellaneous·2018·Easy

Two cones have their heights in the ratio 1 : 3. If the radii of their bases are in the ratio 3 : 1, then the ratio of their volumes will be

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Q.7412·Miscellaneous·2018·Easy

Her rebuttal that she was not involved in the case was considered by the court.

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Q.7413·Miscellaneous·2018·Easy

The visible portion of the electromagnetic spectrum is

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Q.7414·Miscellaneous·2018·Easy

Which one of the following agents does not contribute to propagation of plants through seed dispersal ?

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Q.7415·Miscellaneous·2018·Easy

If the xylem of a plant is mechanically blocked, which of the following functions of the plant will be affected?

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Q.7416·Miscellaneous·2018·Easy

In which one of the following physiological processes, excess water escapes in the form of droplets from a plant?

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