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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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Filed Under: Volume and Surface Area
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Q:

The question below consists of a set of labelled sentences. Out of the four options given, select the most logical order of the sentences to form a coherent paragraph.

P- When the game of life is finally over there is no second chance to correct our errors.
Q- Time is the greater equalizer of all mankind.
R- Time offers opportunity but demands a sense of regard.
S- It has taken away the best and the worst of us without regard of either.

A) QSRP B) RSQP
C) PQRS D) RSPQ
 
Answer & Explanation Answer: A) QSRP

Explanation:
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Filed Under: English
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Q:

The capital of the Mauryan Kingdom was located at___________

A) Pataliputra B) Vaishali
C) Lumbini D) Gaya
 
Answer & Explanation Answer: A) Pataliputra

Explanation:
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Filed Under: Indian History
Exam Prep: Bank Exams

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Q:

Given: 2x - 4 ≤ 2 - x/3 and 2(2x + 5) > 3x - 5, then x can take which of the following values?

A) -14 B) 3
C) 4 D) 14
 
Answer & Explanation Answer: A) -14

Explanation:
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Filed Under: Simplification
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Q:

In the following question, out of the four alternatives, select the word opposite in meaning to the word given.

Turgid

A) Bloated B) Humble
C) Puffy D) Tumescent
 
Answer & Explanation Answer: B) Humble

Explanation:
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Filed Under: English
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Q:

In the following question, out of the four alternatives, select the alternative which is the best substitute of the words/sentence.

Seeking to harm someone in return for a perceived injury

A) Affable B) Cordial
C) Vengeful D) Benign
 
Answer & Explanation Answer: C) Vengeful

Explanation:
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Filed Under: English
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Q:

Which one of the following substances is normally found in urine?

A) Blood proteins B) creatinine
C) red blood cells D) white blood cells
 
Answer & Explanation Answer: B) creatinine

Explanation:
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Filed Under: Biology
Exam Prep: Bank Exams

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Q:

In the following question, out of the four alternatives, select the alternative which is the best substitute of the words/sentence.

The area near or surrounding a particular place

A) Horizon B) Vicinity
C) Distant D) Removed
 
Answer & Explanation Answer: B) Vicinity

Explanation:
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Filed Under: English
Exam Prep: Bank Exams

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