Bank Exams Questions

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, the sentence given with blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option.

The demand of self-esteem is that never stand _______ for what you have the power to earn

A) abetting B) begging
C) caging D) daring
 
Answer & Explanation Answer: B) begging

Explanation:
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Filed Under: English
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Q:

If PQ and PR be the two tangents to a circle with centre O such that ∠QPR = 120° then ∠POQ is

A) 90° B) 45°
C) 30° D) 60°
 
Answer & Explanation Answer: C) 30°

Explanation:
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Filed Under: Volume and Surface Area
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Q:

In the following question, a sentence has been given in Active/Passive voice. Out of four alternatives suggested, select the one, which best expressesthe same sentence in Passive/Active voice.

 

The cricket ball struck me on the head.

A) Struck me on the head the cricket ball  B) I was struck on the head by the cricket ball
C) I had been struck on the head by the cricket ball D) I am striked on the head by the cricket ball
 
Answer & Explanation Answer: B) I was struck on the head by the cricket ball

Explanation:
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Q:

Select the odd word/letters/number/number pair from the given alternatives.

A) America B) India
C) Bangladesh D) Pakistan
 
Answer & Explanation Answer: A) America

Explanation:
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Filed Under: Odd Man Out
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Q:

In the following question, a sentence has been given in Direct/Indirect speech. Out of the four alternatives suggested, select the one which best expresses the same sentence in Indirect/Direct speech.


The Principal said to us, "Today you will get your diplomas."

A) The Principal told us that on that day we would be getting our diplomas. B) The Principal told us this on that day we would be getting our diplomas.
C) The Principal told us that on this day we would be getting our diplomas. D) The Principal told us this on that day we will be getting our diplomas.
 
Answer & Explanation Answer: A) The Principal told us that on that day we would be getting our diplomas.

Explanation:
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Filed Under: English
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Q:

Find the value of p if ­-3x -­ 11, x + p and 5x + 7 are in arithmetic progression.

A) 9 B) 2
C) -9 D) -2
 
Answer & Explanation Answer: D) -2

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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
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