Quantitative Aptitude - Arithmetic Ability Questions

Q:

Δ XYZ is right angled at Y. If m∠Z = 60°, what is the length of YZ (in cm), if ZX = 3√3 cm?

A) 3√3/2 B) 3√3
C) 9 D) 6
 
Answer & Explanation Answer: A) 3√3/2

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Q:

In a triangle ABC, the length of in-radius and circum-radius is 2 units and 6 units respectively. Find the distance (in units) between the in-centre and circum-centre.

 

A) √3 B) 2√3
C) 3√3 D) 4√3
 
Answer & Explanation Answer: B) 2√3

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Q:

Which of the following quadratic equations has real roots?

A) 4x2 - 3x + 6 = 0 B) 2x2 + 7x + 6 = 0
C) x2 - 2x + 4 = 0 D) 3x2 - 4x + 3 = 0
 
Answer & Explanation Answer: B) 2x2 + 7x + 6 = 0

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Q:

In the following question, select the odd word from the given alternatives.

A) Odometer B) Thermometer
C) Degree D) Barometer
 
Answer & Explanation Answer: C) Degree

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Q:

A train is moving with uniform speed crosses two tunnels of lengths 270 metres and 450 metres in 12 seconds and 15 seconds respectively. What is the speed (in km/hr) of the train?

 

A) 144 B) 169
C) 196 D) 216
 
Answer & Explanation Answer: D) 216

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Q:

The radius of a hemisphere is 7 cm, find its volume?

A) 718.67 cubic cm B) 1437.34 cubic cm
C) 239.56 cubic cm D) 359.34 cubic cm
 
Answer & Explanation Answer: A) 718.67 cubic cm

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Q:

If r sinθ=3 and r cosθ=1, then the values of r and θ are: (0°θ90°)

A) r=1, θ=30° B) r=1⁄2, θ=30°
C) r=3 , θ=30° D) r=2, θ=60°
 
Answer & Explanation Answer: D) r=2, θ=60°

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Q:

If cosθ = x2-y2x2+y2, then the value of cotθ is

A) 2xyx2-y2 B) 2xyx2+y2
C) x2+y22xy D) x2-y22xy
 
Answer & Explanation Answer: D) x2-y22xy

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