Quantitative Aptitude - Arithmetic Ability Questions

Q:

If the diameter of a hemisphere is 21 cm, then what is the volume (in cub.cm) of hemisphere?

A) 2810 B) 1250.5
C) 1725.25 D) 2425.5
 
Answer & Explanation Answer: D) 2425.5

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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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
Exam Prep: Bank Exams

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Q:

A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is

A) 220030 B) 22030
C) 1220 D) 1250
 
Answer & Explanation Answer: A) 220030

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

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Q:

If the sum of squares of three consecutive natural number is 2702. Then, what will be the middle number?

 

A) 29 B) 30
C) 31 D) 32
 
Answer & Explanation Answer: B) 30

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

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Q:

P does half as much work as Q in 1/3 of the time. If together they take 15 days to complete a work, how many days will P take to do it alone?

 

A) 18   B) 25  
C) 24   D) 21
 
Answer & Explanation Answer: B) 25  

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

Deepinder lent Rs 8200 to Jairaj for 16 years and Rs 4900 to Karna for 15 years on simple interest at the same rate of interest and received Rs 19446.5 in all from both of them as interest. The rate of interest per annum is:

A) 10 percent B) 10.5 percent
C) 9.5 percent D) 11 percent
 
Answer & Explanation Answer: C) 9.5 percent

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Filed Under: Simple Interest
Exam Prep: Bank Exams

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Q:

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

A) Car B) Cycle
C) Tyre D) Truck
 
Answer & Explanation Answer: C) Tyre

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

The length of the diagonal and the breadth of a rectangle is 13 cm and 5 cm respectively. Calculate its area (in cm²).

 

A) 60 B) 120
C) 37 D) 74
 
Answer & Explanation Answer: A) 60

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Filed Under: Area
Exam Prep: Bank Exams

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