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:

In the following question, four words are given out of which one word is correctly spelt. Select the correctly spelt word.

A) jukstapose	B) jaxtapuse
C) juxtapose	D) jaxtapose

Answer & Explanation Answer: C) juxtapose

Explanation:

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Q:

In the following question, a sentence / a part of sentence is underlined. Below are given alternatives to the underlined part which may improve the sentence. Choose the correct alternative. In case no improvement is required, choose "No Improvement" option.

One night they sank through the shiny water, and for the first time since he has known them, began to quickly swim.

A) he had known them, began to swim quickly.	B) he have known them, begin to quickly swim
C) he knew them, began to swim quickly	D) No improvement

Answer & Explanation Answer: A) he had known them, began to swim quickly.

Explanation:

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Q:

In the following question, a sentence has been given in Active/Passive voice. Out of the four alternatives suggested, select the one which best expresses the same sentence in Passive/Active voice.

I gaze at the stars from my balcony.

A) Gazing at the stars has been done by me from the balcony.	B) The stars are being gazed at by me from the balcony.
C) The stars are gazed at from the balcony by me.	D) From my balcony I have gazed at the stars.

Answer & Explanation Answer: C) The stars are gazed at from the balcony by me.

Explanation:

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Q:

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

Plebiscite

A) Referendum	B) Tyranny
C) Despotism	D) Monarchy

Answer & Explanation Answer: A) Referendum

Explanation:

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Q:

In each of the questions, four alternatives are given for the Idiom/Phrase. Choose the alternative which best expresses the meaning of the Idiom/Phrase and click the button corresponding to it.

To play fast and loose

A) To be narrow minded	B) To play a good game
C) To act in an unreliable way	D) To defeat a person

Answer & Explanation Answer: C) To act in an unreliable way

Explanation:

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Q:

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

A) Accord	B) Damage
C) Complex	D) Withdraw

Answer & Explanation Answer: D) Withdraw

Explanation:

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Q:

In the following questions, one part of the sentence may have an error. Find out which part of the sentence has an error and click the button corresponding to it. If the sentence is free from error, click the "No error" option.

Her knowledge in English (A) / gives her great advantage (B) / over me. (C) / No Error (D)

A) A	B) B
C) C	D) D

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