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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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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Q:

In the following questions, 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. Organization are institutions in which members compete for status and _____. They _____ for the resources of the organization, for example, _____ to expand their own departments, for _____ advancement and for power to _____ the activities of others.

for power to _____ the activities of others.

A) affect B) control
C) curb D) pursue
 
Answer & Explanation Answer: B) control

Explanation:
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Q:

In the following questions, 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.

Organization are institutions in which members compete for status and _____. They _____ for the resources of the organization, for example, _____ to expand their own departments, for _____ advancement and for power to _____ the activities of others.

their own departments, for _____ advancement and

A) career B) financial
C) regional D) technological
 
Answer & Explanation Answer: A) career

Explanation:
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Q:

In the following questions, 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.

Organization are institutions in which members compete for status and _____. They _____ for the resources of the organization, for example, _____ to expand their own departments, for _____ advancement and for power to _____ the activities of others.

of the organization, for example, _____ to expand

A) finance  B) infrastructure
C) resources D) source
 
Answer & Explanation Answer: A) finance 

Explanation:
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Q:

In the following questions, 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.

Organization are institutions in which members compete for status and _____. They _____ for the resources of the organization, for example, _____ to expand their own departments, for _____ advancement and for power to _____ the activities of others.

They _____ for the resources

A) compete B) expand
C) rely D) run
 
Answer & Explanation Answer: A) compete

Explanation:
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Q:

In the following questions, 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.

Organization are institutions in which members compete for status and _____. They _____ for the resources of the organization, for example, _____ to expand their own departments, for _____ advancement and for power to _____ the activities of others.

Organization are institutions in which members compete for status and _____.

A) growth B) money
C) power D) success
 
Answer & Explanation Answer: C) power

Explanation:
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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.
Gopal's mother reminded him to take his wallet.

A) “Are you going to take your wallet or not?” said Gopal to his mother. B) “Don't forget to take your wallet, Gopal” said his mother.
C) Gopal's mother said, “Remember your wallet, Gopal? D) “Here is your wallet Gopal” said his mother.
 
Answer & Explanation Answer: B) “Don't forget to take your wallet, Gopal” said his mother.

Explanation:
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