Quantitative Aptitude - Arithmetic Ability Questions

Q:

Which among the following is a mismatched pair of religion practiced and its holy book?

A) Islam : Quran B) Sikhism : Guru Granth Saheb
C) Jainism : Upanishad D) Christianity : Bible
 
Answer & Explanation Answer: C) Jainism : Upanishad

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Filed Under: Odd Man Out
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Q:

Find the greatest number among 213, 312, 1, 516

A) 213 B) 312
C) 1 D) 516
 
Answer & Explanation Answer: B) 312

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Filed Under: Problems on Numbers
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Q:

A circle and a square have same area. The ratio of the side of the square to the radius of the circle will be:

A) π:1 B) 1:π
C) π2:1 D) 1:π
 
Answer & Explanation Answer: A) π:1

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Q:

Volume of a cube is 512 cubic cm, find its total surface area? (Take π = 22/7)

A) 768 sq cms B) 192 sq cms
C) 384 sq cms D) 576 sq cms
 
Answer & Explanation Answer: C) 384 sq cms

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Filed Under: Volume and Surface Area
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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:

Among four students sitting in a row, average age of last three students is 20 years and the average age of first three students is 21 years. If the age of first student is 26 years, then what is the age (in years) of the last student?

A) 23 B) 37
C) 24 D) 29
 
Answer & Explanation Answer: A) 23

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Filed Under: Average
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Q:

Shivam is 10% less efficient than Vivek. If Vivek can make a helmet in 9 days, then in how many days Shivam can complete the same work?

 

A) 15 B) 12
C) 10 D) 8
 
Answer & Explanation Answer: C) 10

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Filed Under: Time and Work
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Q:

A basket contains 300 mangoes . 75 mangoes were distributed among some students . Find the percentage of mangoes left in the basket

A) 70% B) 72%
C) 76% D) 75%
 
Answer & Explanation Answer: D) 75%

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Filed Under: Percentage
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