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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 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
Exam Prep: Bank Exams

0 1525
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
Exam Prep: Bank Exams

0 1525
Q:

In which year Bhutan adopted its Constitution?

A) 2004 B) 2006
C) 2008 D) 2010
 
Answer & Explanation Answer: C) 2008

Explanation:
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Filed Under: General Awareness
Exam Prep: Bank Exams

0 1525
Q:

Name the author of the book "Pakistan the Gathering Storm".

A) Parvez Musharraf B) Benazir Bhutto
C) Chetan Bhagat D) Javier Moro
 
Answer & Explanation Answer: B) Benazir Bhutto

Explanation:
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Filed Under: Books and Authors
Exam Prep: Bank Exams

0 1525
Q:

In the following question, select the odd word pair from the given alternatives.

A) Mass – Balance B) Temperature – Thermometer
C) Scale – Length D) Pressure – Barometer
 
Answer & Explanation Answer: C) Scale – Length

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams

0 1525
Q:

The sum of two numbers is 25 and sum of their square is 313. Calculate the numbers.

A) 15, 10 B) 18, 7
C) 11, 14 D) 12, 13
 
Answer & Explanation Answer: D) 12, 13

Explanation:
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Filed Under: Problems on Numbers
Exam Prep: Bank Exams , CAT

1 1525
Q:

What is the average of all the one digit, two digit and three digit natural numbers?

A) 300 B) 500
C) 1000 D) 1250
 
Answer & Explanation Answer: B) 500

Explanation:
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Filed Under: Average
Exam Prep: Bank Exams

1 1525
Q:

Molecular clocks are based on the idea that _____.

A) On average neutral mutations arise at a constant rate B) Directional selection occurs at a constant rate
C) Mutations occur once every generation D) Molecules resonate at a certain frequency that can be measured
 
Answer & Explanation Answer: C) Mutations occur once every generation

Explanation:
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Filed Under: Biology
Exam Prep: Bank Exams

1 1525