Aptitude and Reasoning Questions

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:

Find the value of 'a' for which x+3x+a24 is a perfect square.

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

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Filed Under: Simplification
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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:

There is 40% increase in an amount in 8 years at simple interest. What will be the compound interest of Rs. 10000 after 3 years at the same rate?

A) Rs 1576.25 B) Rs 6305
C) Rs 7881.25 D) Rs 4728.75
 
Answer & Explanation Answer: A) Rs 1576.25

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Filed Under: Simple Interest
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Q:

A solid brass sphere of radius 2.1 dm is converted into a right circular cylindrical rod of length 7cm. The ratio of total surface areas of the rod to the sphere is

A) 3:1 B) 1:3
C) 7:3 D) 3:7
 
Answer & Explanation Answer: C) 7:3

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Filed Under: Volume and Surface Area
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Q:

The radii of two concentric circles are 68 cm and 22 cm. The area of the closed figure bounded by the boundaries of the circles is

A) 4140π sq.cm. B) 4110π sq.cm.
C) 4080π sq.cm. D) 4050π sq.cm.
 
Answer & Explanation Answer: A) 4140π sq.cm.

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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:

In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.

Statements:
I. All LED are bulb.
II. Some bulbs are not tube light.

Conclusions:
I. Some tube lights are LED.
II. All LED are tube lights.

A) Only conclusion (I) follows. B) Only conclusion (II) follows.
C) Neither conclusion (I) nor conclusion (II) follows. D) Both conclusions follow.
 
Answer & Explanation Answer: C) Neither conclusion (I) nor conclusion (II) follows.

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Filed Under: Statement and Conclusions
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