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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.3079·Miscellaneous·2022·Easy

Let A = | 0 sin²θ cos²θ | | cos²θ 0 sin²θ | | sin²θ cos²θ 0 | and A = P + Q where P is symmetric matrix and Q is skew-symmetric matrix. What is the minimum value of determinant of A ?

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Q.3080·Miscellaneous·2022·Easy

ABC is a triangular plot with AB = 16 m, BC = 10 m and CA = 10 m. A lamp post is situated at the middle point of the side AB. The lamp post subtends an angle 45° at the vertex B. What is the height of the lamp post ?

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Q.3081·Miscellaneous·2022·Easy

ABC is a triangular plot with AB = 16 m, BC = 10 m and CA = 10 m. A lamp post is situated at the middle point of the side AB. The lamp post subtends an angle 45° at the vertex B. What is AB/sinC equal to ?

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Q.3082·Miscellaneous·2022·Easy

ABC is a triangular plot with AB = 16 m, BC = 10 m and CA = 10 m. A lamp post is situated at the middle point of the side AB. The lamp post subtends an angle 45° at the vertex B. What is cosA + cosB + cosC equal to ?

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Q.3083·Miscellaneous·2022·Easy

There are two points P and Q due south of a leaning tower, which leans towards north. P is at a distance x and Q is at a distance y from the foot of the tower ( x > y ). The angles of elevation of the top of the tower from P and Q are 15° and 75° respectively. At what height is the top of the tower above the ground level?

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Q.3084·Miscellaneous·2022·Easy

Given below are idiom/phrase followed by four alternative meanings for each. Choose the most appropriate answer from among the options (a), (b), (c), and (d). A queer fish

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Q.3085·Miscellaneous·2022·Easy

Given below are idiom/phrase followed by four alternative meanings for each. Choose the most appropriate answer from among the options (a), (b), (c), and (d). Eat like a bird

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Q.3086·Miscellaneous·2022·Easy

Lock horns

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Q.3087·Miscellaneous·2022·Easy

Early bird

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Q.3088·Miscellaneous·2022·Easy

Be in the pink

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Q.3089·Miscellaneous·2022·Easy

Be in the running

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Q.3090·Miscellaneous·2022·Easy

A sea change

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Q.3091·Miscellaneous·2022·Easy

What is value of cot^2 15° + tan^2 15° ?

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Q.3092·Miscellaneous·2022·Easy

There are two points P and Q due south of a leaning tower, which leans towards north. P is at a distance x and Q is at a distance y from the foot of the tower (x > y). The angles of elevation of the top of the tower from P and Q are 15° and 75° respectively. What is the length of the tower?

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Q.3093·Miscellaneous·2022·Easy

A pearl of wisdom

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Q.3094·Miscellaneous·2022·Easy

Be in seventh heaven

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Q.3095·Miscellaneous·2022·Easy

Be in the red

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Q.3096·Miscellaneous·2022·Easy

In triangle ABC, a = 4, b = 3, c = 2. What is cos3C equal to?

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