Quantitative Aptitude - Arithmetic Ability Questions

Q:

The standard deviation of the set {10, 11, 12, 9, 8} is

A) 1 B) √2
C) 2 D) 2√2
 
Answer & Explanation Answer: B) √2

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Q:

An angle is thrice its complementary angle. What is the measure of the angle?

A) 22.5° B) 135°
C) 45° D) 67.5°
 
Answer & Explanation Answer: D) 67.5°

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Filed Under: Simplification
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Q:

The distance between the points (11,­5) and (k,0) is 13. Find k.

A) k = 1 or 23 B) k = ­-1 or 23
C) k = ­1 or ­-23 D) k = -1 or ­-23
 
Answer & Explanation Answer: B) k = ­-1 or 23

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Q:

In the given series, how many 8s are there that are not divisible by the number to its left but completely divisible by the number to its right.

563248889266588343

 

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

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Filed Under: Problems on Numbers
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Q:

The average weight of 3 men A, B and C is 84 Kg. Another man D joins the group and the average now becomes 80 Kg. If another man E whose weight is 3 Kg more than that of D, replaces A then the average weight of B, C, D and E becomes 79 Kg. What is the weight of A?

A) 70 Kg B) 72 Kg
C) 75 Kg D) 80 Kg
 
Answer & Explanation Answer: C) 75 Kg

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Filed Under: Average
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Q:

A car takes 5 hours to cover 100 kms distance at a particular speed whereas another car takes 3 hours to reach a particular distance at the same speed. Find the distance.

A) 40 km B) 60 km
C) 70 km D) 80 km
 
Answer & Explanation Answer: B) 60 km

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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 cube to that of the cylinder ?

A) 4 : 3 B) 21 : 16
C) 14 : 11 D) 45 : 32
 
Answer & Explanation Answer: C) 14 : 11

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)
VcubeVcylinder = a3πr22h = 14/11
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Filed Under: Volume and Surface Area
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Q:

­ A wooden bowl is in shape of a hollow hemisphere of internal radius 8 cm and thickness 1 cm. Find the total surface area of the bowl?

A) 964.85 sq cms B) 1125.14 sq cms
C) 1687.71 sq cms D) 281.29 sq cms
 
Answer & Explanation Answer: A) 964.85 sq cms

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Filed Under: Volume and Surface Area
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