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:

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:

How many states of India have sea-shore?

A) 7 B) 8
C) 9 D) 6
 
Answer & Explanation Answer: C) 9

Explanation:
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Filed Under: Indian Geography
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Q:

What is the slope of the line perpendicular to the line passing through the points (8,­2) and (3,­1)?

A) 5 B) 3/5
C) 5/3 D) 1/5
 
Answer & Explanation Answer: A) 5

Explanation:
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Filed Under: Simplification
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Q:

__________ is the number of individuals of the population who left the habitat and gone elsewhere during the time period under consideration.

A) Natality B) Mortality
C) Immigration D) Emigration
 
Answer & Explanation Answer: D) Emigration

Explanation:
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Filed Under: General Science
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Q:

Odisha's World famous Konark Sun Temple was built by

A) Krushadevray B) Ashoka
C) Chandragupta D) Narasimhadeva
 
Answer & Explanation Answer: D) Narasimhadeva

Explanation:
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Filed Under: Indian History
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Q:

In the following passage some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.


In Greek mythology, it is said that Lycurgus, the ruler of Sparta, ___________ a promise from his ____________, assuring him of the immutability of his laws till he returned from an _______________ journey. To make his laws immutable, Lycurgus _____________. Seven justices of the Indian Supreme Court on a historic day in 1973 christened themselves as modern­day Lycurguses, seeking to create, in India's constitutional context, an island of immutability, ___________ titled the "basic structure".

a promise from his ____________

A) nation B) society
C) subjects D) community
 
Answer & Explanation Answer: C) subjects

Explanation:
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Filed Under: English
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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.
Mother said to my sister, "Tell him sorry right now."

A) Mother said to my sister to tell him sorry right then. B) Mother said to my sister to tell him sorry right now.
C) Mother says to my sister to tell him sorry right then. D) Mother says to my sister to tell him sorry right now.
 
Answer & Explanation Answer: A) Mother said to my sister to tell him sorry right then.

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Filed Under: English
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