Exams


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
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Q:

David Warner plays cricket for which country?

A) England B) New Zealand
C) Australia D) Sri Lanka
 
Answer & Explanation Answer: C) Australia

Explanation:
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Filed Under: Sports
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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

Explanation:
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Filed Under: Odd Man Out
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Q:

Who is the author of Manimekalai?

A) Kovalan B) Sathanar
C) Ilango Adigal D) Timtakkatevar
 
Answer & Explanation Answer: B) Sathanar

Explanation:

One of the finest jewels of Tamil poetry, the epic poem Manimekalai was written by Sathanar in 2nd century A.D. It is unique for the deep spirituality and mysticism it unfolds against the historical and geographical background of South India and of adjacent Jaffna.

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Filed Under: Indian History
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Q:

If the areas of two similar triangle are in the ratio 5 : 7, then what is the ratio of the corresponding sides of these two triangles?

A) 5 : 7 B) 25 : 49
C) √5 : √7 D) 125 : 343
 
Answer & Explanation Answer: C) √5 : √7

Explanation:
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Filed Under: Volume and Surface Area
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Q:

The short run average cost curve is ____ shaped.

A) U B) V
C) X D) W
 
Answer & Explanation Answer: A) U

Explanation:
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Filed Under: Indian Economy
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Q:

The female sex organs in a flower is the __________.

A) Zoospores B) stamen
C) pistil D) Chlorophyceae
 
Answer & Explanation Answer: C) pistil

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Filed Under: Biology
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Q:

Heavy water is mostly used in which of the following?

A) In fire extinguisher B) In nuclear reactors
C) In washing cloth D) In both Nuclear reactors and Fire extinguisher
 
Answer & Explanation Answer: B) In nuclear reactors

Explanation:
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Filed Under: Physics
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