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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Which of the following triangle has the maximum area when inscribed inside the circle of same radius?

A) Scalene B) Isosceles  
C) Equilateral D) Right angled
 
Answer & Explanation Answer: C) Equilateral

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Filed Under: Area
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Q:

To cover a certain distance with a speed of 60 km/hr, a train takes 15 hours. If it covers the same distance in 12 hours, what will be its speed?

A) 65 km/h B) 70 km/h
C) 75 km/h D) 80 km/h
 
Answer & Explanation Answer: C) 75 km/h

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Filed Under: Quantitative Aptitude - Arithmetic Ability
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Q:

A shopkeeper marks the price of an article at Rs. 320. Find the cost price if after allowing a discount of 10%, he still gains 20% on the cost price.

A) Rs. 240 B) Rs. 280
C) Rs. 300 D) Rs. 264
 
Answer & Explanation Answer: A) Rs. 240

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Filed Under: Profit and Loss
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Q:

A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder.

What is the ratio of the volume of the sphere to that of cone?

A) 6√3:1 B) 7 : 2
C) 3√3:1   D) 5√3:1
 
Answer & Explanation Answer: A) 6√3:1

Explanation:
The top view of the given assembly will look like the figure above
Outermost is the sphere. Inside that there is a cube and within that there is a cone and cylinder with same radius.
Here side of cube = a
Diameter of Sphere = body diagnol = √3 a
Radius of sphere = √3 a/2 =r1
Height of Cylinder = Height of cone = side of cube = a =h
Radius of cylinder = Radius of cone = side of cube/2 = a/2 =r2(as shown in the figure)
Volume of sphere/volume of cone = 43πr1313πr22h = 6√3:1
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Filed Under: Volume and Surface Area
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Q:

The distance between the tops of two building 38 metres and 58 metres high is 52 metres. What will be the distance (in metres) between two buildings?

A) 46 B) 42
C) 44 D) 48
 
Answer & Explanation Answer: D) 48

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Filed Under: Time and Distance
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Q:

Vinay professes to lose 4% on sugar and uses a weight of 620 gm instead of 1 kg. What is the total profit percentage?

 

A) 44.24   B) 34.14  
C) 35.41   D) 54.84
 
Answer & Explanation Answer: D) 54.84

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Filed Under: Profit and Loss
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Q:

The age of Dr. Pandey is four times the age of his son. After 10 years , the age of Dr. Pandey will be twice the age of his son . The present age of Dr. Pandey's son is

A) 4 years B) 5 years
C) 6 years D) 8 years
 
Answer & Explanation Answer: B) 5 years

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Filed Under: Problems on Ages
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Q:

A sum becomes Rs 1392 in 2 years and Rs 1488 in 3 years at simple interest. What is the rate (in percentage) of interest per annum?

A) 8 B) 10
C) 12 D) 8.5
 
Answer & Explanation Answer: A) 8

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Filed Under: Simple Interest
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