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?

 

In the following question, out of the four alternatives, select the alternative which will improve the bracketed part of the sentence. In case no improvement is needed, select "no improvement".

You (will being surprised) to learn that some leading philosophers have supported immoral views.

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

A person or thing that is a perfect example of a particular quality or type

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

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.

The smoke rises and

A-chokes my apartment

B-gets trapped in the

C-tree-tops and

In the following question, out of the four alternatives, select the alternative which will improve the bracketed part of the sentence. In case no improvement is needed, select "no improvement".

I (had been) a unique case of slow learning.

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

Relating to or involved in crime

In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase.

Under the weather

In the following passage, some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.

People are now either exposed to the very best of their inner circle and the world, ________ to the worst — articles that look to shock, to provoke rage and put a lens on everything that is wrong _________ the world. Imperceptibly, it goes unsaid that often __________ pieces of ‘news’ fail to actually provide a constructive solution. The effect of such a disparity _________ to the same effect as news of TV and newspapers — a feeling that what we see does not ____________ our lives.

we see does not ____________ our lives.