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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.8263·Miscellaneous·2017·Easy

In a triangle ABC, the medians AD and BE intersect at G. A line DF is drawn parallel to BE such that F is on AC. If AC = 9 cm, then what is CF equal to?

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Q.8264·Miscellaneous·2017·Easy

Consider the following statements: Statement I: The value of a random variable having the highest frequency is mode. Statement II: Mode is unique. Which one of the following is correct in respect of the above statements?

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Q.8265·Miscellaneous·2017·Easy

The pie diagrams on the monthly expenditure of two families A and B are drawn with radii of two circles taken in the ratio 16 : 9 to compare their expenditures. Which one of the following is the appropriate data used for the above-mentioned pie diagrams?

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Q.8266·Miscellaneous·2017·Easy

A man travelled 12 km at a speed of 4 km/hr and further 10 km at a speed of 5 km/hr. What was his average speed?

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Q.8267·Miscellaneous·2017·Easy

Frequency density of a class is computed by the ratio

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Q.8268·Miscellaneous·2017·Easy

What is the ratio of the total number of boys to the total number of girls?

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Q.8269·Miscellaneous·2017·Easy

What is the difference between the number of boys studying Mathematics and the number of girls studying Physics?

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Q.8270·Miscellaneous·2017·Easy

In which subjects is the difference between the number of boys and girls equal?

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Q.8271·Miscellaneous·2017·Easy

The number of girls studying Statistics is what percent (approximate) of the total number of students studying Chemistry?

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Q.8272·Miscellaneous·2017·Easy

A tent has been constructed which is in the form of a right circular cylinder surmounted by a right circular cone whose axis coincides with the axis of the cylinder. If the radius of the base of the cylinder is 50 m, the height of the cylinder is 10 m and the total height of the tent is 15 m, then what is the capacity of the tent in cubic metres?

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Q.8273·Miscellaneous·2017·Easy

From a solid cylinder whose height is 8 cm and of base radius 6 cm, a conical cavity of height 8 cm and of base radius 6 cm is formed by hollowing out. What is the inner surface area of the cavity?

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Q.8274·Miscellaneous·2017·Easy

A closed polygon has six sides and one of its angles is 30° greater than each of the other five equal angles. What is the value of one of the equal angles?

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Q.8275·Miscellaneous·2017·Easy

One-fifth of the area of a triangle ABC is cut off by a line DE drawn parallel to BC such that D is on AB and E is on AC. If BC = 10 cm, then what is DE equal to?

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Q.8276·Miscellaneous·2017·Easy

The radii of the frustum of a right circular cone are in the ratio 2 : 1. What is the ratio of the volume of the frustum of the cone to that of the whole cone?

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Q.8277·Miscellaneous·2017·Easy

A cylindrical vessel 60 cm in diameter is partially filled with water. A sphere 30 cm in diameter is gently dropped into the vessel and is completely immersed. To what further height will the water in the cylinder rise?

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Q.8278·Miscellaneous·2017·Easy

A cylinder of height 2x is circumscribed by a sphere of radius 2x such that the circular ends of the cylinder are two small circles on the sphere. What is the ratio of the curved surface area of the cylinder to the surface area of the sphere?

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Q.8279·Miscellaneous·2017·Easy

If PL, QM and RN are the altitudes of triangle PQR whose orthocentre is O, then Q is the orthocentre of the triangle

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Q.8280·Miscellaneous·2017·Easy

The distance between the centres of two circles having radii 9 cm and 4 cm is 13 cm. What is the length of the direct common tangent of these circles ?

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