Quantitative Aptitude - Arithmetic Ability Questions

Q:

In triangle PQR, A is the point of intersection of all the altitudes and B is the point of intersection of all the angle bisectors of the triangle. If ∠PBR =105°, then what is the value of ∠PAR (in degrees)?

A) 60 B) 100
C) 105 D) 115
 
Answer & Explanation Answer: A) 60

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Q:

A solid brass sphere of radius 2.1 dm is converted into a right circular cylindrical rod of length 7cm. The ratio of total surface areas of the rod to the sphere is

A) 3:1 B) 1:3
C) 7:3 D) 3:7
 
Answer & Explanation Answer: C) 7:3

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Filed Under: Volume and Surface Area
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Q:

If cot 60° + cosec 60° = x, then the value of x is

A) (1-2√2)/√2 B) (√3-4)/2√3
C) 1 D) √3
 
Answer & Explanation Answer: D) √3

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Filed Under: Simplification
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Q:

Reflection of the point (4,-5) in the y-axis is

A) (4,5) B) (-4,-5)
C) (4,-5) D) (-4,5)
 
Answer & Explanation Answer: B) (-4,-5)

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Q:

Which single discount will be equal to two successive discounts of 12% and 5%?

A) 17% B) 8.5%
C) 16.4% D) 15.2%
 
Answer & Explanation Answer: C) 16.4%

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Filed Under: Percentage
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Q:

The point at which the perpendicular bisectors of the sides of a triangle intersect is known as _____________________

A) circum-centre B) orthocenter
C) centroid D) in-center
 
Answer & Explanation Answer: A) circum-centre

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Filed Under: Area
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Q:

tan2Asin2A is equal to

A) tan2A - sin2A B) tan2A + sin2A
C) cot2A - sin2A D) cot2A + sin2A
 
Answer & Explanation Answer: A) tan2A - sin2A

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Q:

In an acute-angled triangle ABC is Sin(B+A+C)=32 and tan(C+A-B)=1, then C is equal to

A) 37.5° B) 67.5°
C) 52.5° D) 72.5°
 
Answer & Explanation Answer: C) 52.5°

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