Quantitative Aptitude - Arithmetic Ability Questions

Q:

Two circles with centres P and Q touch each other externally. A straight line drawn through the point of contact intersects the circle with centre P at A and the circle with centre Q at B. Then, which of the following is true?

A) AP = BQ B) AP | BQ
C) AP || BQ D) AP = 1⁄2 BQ
 
Answer & Explanation Answer: C) AP || BQ

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Q:

The lengths of two parallel sides of a trapezium are 21 cm and 9 cm. If its height is 10 cm, then what is the area (in cm2) of the trapezium?

A) 35 B) 75
C) 150 D) 225
 
Answer & Explanation Answer: C) 150

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Q:

Which one of the following combination of measurements can form the sides of a triangle?

A) 9 cm, 6 cm, 2 cm B) 11 cm, 3 cm, 12 cm
C) 3 cm, 5 cm, 8 cm D) 5 cm, 7 cm, 13 cm
 
Answer & Explanation Answer: B) 11 cm, 3 cm, 12 cm

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Q:

If the measure of the interior angle of a regular polygon is 100 deg greater than the measure of its exterior angle then how many sides does it have?

 

A) 10 B) 12
C) 9 D) 15
 
Answer & Explanation Answer: C) 9

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Q:

The copper wire when bent in the form of a square encloses an area of 121 cub.cm. If the same wire is bent into the form of a circle, find the area of the circle.

A) 154 sq.cm B) 153 sq.cm
C) 155 sq.cm D) 150 sq.cm
 
Answer & Explanation Answer: A) 154 sq.cm

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Q:

If triangle ABC = triangle XYZ and angle BAC = 55 deg, then angle ZXY = ?

A) 67.5 deg B) 135 deg
C) 65 deg D) 55 deg
 
Answer & Explanation Answer: D) 55 deg

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Q:

The amount of extension in a spring is proportional to the weight hung on it. If the weight of 5 kgs produces an extension of 0.4 cm, what weight would produce an extension of 5cm?

A) 6.25kgs B) 62.5kgs
C) 4kgs D) 40kgs
 
Answer & Explanation Answer: B) 62.5kgs

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Q:

O is the center of the circle and two tangents are drawn from a point P to this circle at points A and B. If ∠AOP = 50°, then what is the value (in degrees) of ∠APB?

A) 60 B) 80
C) 90 D) 100
 
Answer & Explanation Answer: B) 80

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