Quantitative Aptitude - Arithmetic Ability Questions

Q:

ABC is an equilateral triangle of side 6 cm. If a circle of radius 1 cm is moving inside and along the sides of the triangle, then the locus of the centre of the circle is an equilateral triangle of side is

A) 5 cm B) (6 - 2√3) cm
C) 4 cm D) (3 + √3) cm
 
Answer & Explanation Answer: B) (6 - 2√3) cm

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Filed Under: Area
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Q:

If there are four lines in a plane, then what cannot be the number of points of intersection of these lines?

A) 0 B) 5
C) 4 D) 7
 
Answer & Explanation Answer: D) 7

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Filed Under: Volume and Surface Area
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Q:

In a cyclic quadrilateral ABCD , the side AB is extended to a point X. If ∠XBC = 82° and ∠ADB = 47° , then the value of ∠BDC is

A) 40° B) 35°
C) 30° D) 25°
 
Answer & Explanation Answer: B) 35°

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Q:

U, V and W together can make a chair in 20 minutes. U and V together can make it in 25 minutes. How much time will (in minutes) W alone take to make the chair?

 

A) 100   B) 90
C) 60 D) 120
 
Answer & Explanation Answer: A) 100  

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Filed Under: Time and Work
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Q:

Find 2 consecutive natural numbers, sum of whose squares is 25.

A) 2, 3 B) 3, 4
C) 4, 5 D) 1, 4
 
Answer & Explanation Answer: B) 3, 4

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Filed Under: Problems on Numbers
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Q:

A point P lying inside a triangle is equidistant from the vertices of the triangle. Then the triangle has P as its

A) Centroid B) Incentre
C) Orthocentre D) Circumcentre
 
Answer & Explanation Answer: D) Circumcentre

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Q:

The internal bisectors of ∠Q and ∠R of triangle PQR meet at O. If ∠P = 70°, then what is the measure of ∠QOR (in degrees)?

A) 110 B) 115
C) 125 D) 135
 
Answer & Explanation Answer: C) 125

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Q:

A, B and C can work together for Rs. 550/- A and B together are to do 7/11 of the work. The share of C should be?

A) Rs. 200 B) Rs. 300
C) Rs. 400 D) Rs. 450
 
Answer & Explanation Answer: A) Rs. 200

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