Quantitative Aptitude - Arithmetic Ability Questions

Q:

Simple interest on a certain sum of money for 3 years at 14% per annum is half the compound interest on Rs. 10000 for 2 years at 10% per annum. The sum placed on simple interest is

A) Rs 5000 B) Rs 1250
C) Rs 2000 D) Rs 2500
 
Answer & Explanation Answer: D) Rs 2500

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Filed Under: Simple Interest
Exam Prep: Bank Exams

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Q:

A thief is stopped by a policeman from a distance of 200 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed
of the thief as 8 km/hr and that of police man as 10 km/hr. How far the thief would have run, before he is over ­taken?

A) 640 metres B) 800 metres
C) 960 metres D) 480 metres
 
Answer & Explanation Answer: B) 800 metres

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Filed Under: Time and Distance
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 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
Exam Prep: Bank Exams

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Q:

AB is a chord of the circle and its center is “O”. ON is perpendicular to AB. If the length of AB=20 cm, ON-(2√11) cm, find the radius (in cm) of the circle.

A) 10 B) 12
C) 13 D) 15
 
Answer & Explanation Answer: B) 12

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

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Q:

Two circles touch externally. The sum of their areas is 130π sq.cm and the distance between their centers is 14 cm. The radius of the bigger circle is

A) 22 cm B) 11 cm
C) 33 cm D) 44 cm
 
Answer & Explanation Answer: B) 11 cm

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

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Q:

If a-1a=1, then a2 + 1a2 ?

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

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

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

A) CD B) PR
C) ST D) WX
 
Answer & Explanation Answer: B) PR

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by a Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

 

A) (2, 22, 222) B) (3, 33, 333)
C) (1, 11, 111) D) (4, 44, 4444)
 
Answer & Explanation Answer: D) (4, 44, 4444)

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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