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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.

Consider the following statements:

1) The surface area of the sphere is √5 Times the curved surface area of the cone.

2) The surface area of the cube is equal to the curved surface area of the cylinder. Which of the above statements is/are correct?

 

A) 1 only B) 2 only
C) Both 1 and 2  D) Neither 1 nor 2
 
Answer & Explanation Answer: D) Neither 1 nor 2

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)
 
Thus neither 1 nor 2 are true
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Q:

A sentence has been given in Active/Passive Voice. Out of the four given alternatives, select the one which best expresses the same sentence in Passive/Active Voice.

The workers are building the house.

A) The house was being built by the workers. B) The house was built by the workers.
C) The house is built by the workers. D) The house is being built by the workers.
 
Answer & Explanation Answer: D) The house is being built by the workers.

Explanation:
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Q:

P, Q and R together can make a table in 40 minutes. P and Q together can make it in 60 minutes. How much time (in minutes) will R alone take to make the table?

A) 100 B) 120
C) 90 D) 150
 
Answer & Explanation Answer: B) 120

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Filed Under: Time and Work
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Q:

Lord Cornwallis is known for _____.

A) permanent revenue settlement of Bengal B) attacking the caste system
C) land revenue settlement of United States D) ryotwari settlement of Madras
 
Answer & Explanation Answer: A) permanent revenue settlement of Bengal

Explanation:
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Filed Under: Indian History
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Q:

Which of the following gas leaked in the Bhopal Gas tragedy in December 1984?

A) Methyl isocyanate B) Methyl isochlorate
C) Methyl Phosphate D) Methyl Isopropate
 
Answer & Explanation Answer: A) Methyl isocyanate

Explanation:
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Filed Under: Chemistry
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Q:

Select the odd number from the given alternatives.

A) 110 B) 140
C) 154 D) 198
 
Answer & Explanation Answer: B) 140

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Filed Under: Odd Man Out
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Q:

Which is the only one example of Mollusca Phylum?

A) Locust B) Butterfly
C) Scorpion D) Octopus
 
Answer & Explanation Answer: D) Octopus

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Filed Under: Biology
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Q:

In the following question, out of the four alternatives, choose the word which is opposite in meaning to the given word and click the button corresponding to it.
COURAGE

A) BRAVERY B) WEAKNESS
C) COWARDICE D) FEAR
 
Answer & Explanation Answer: C) COWARDICE

Explanation:
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Filed Under: English
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