Questions

α and β are the roots of the quadratic equation x2 – x – 1 = 0. What is the value of α8 + β8?

What is the altitude of an equilateral triangle whose side is 12 cm?

Kamarup is an ancient name of which region of India?

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.

That is why publicly invoking these symbols has to be an act of responsible citizenship and not self­____________ demagoguery, but the difference can be hard to _______________. The problem with emotive symbols is that _________________ they can multiply the force of arguments, they cannot replace the arguments__________________. All persuasion harnesses symbols but principled persuasion must also provide arguments that can be _____________ debated.

they cannot replace the arguments__________________.

In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select 'No Error'.

The first demonstration of the live (1)/ transmission of images were given by Georges Rignoux (2)/ and A. Fournier in Paris in 1909. (3)/ No error (4)

In the following question, 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.

The payment of dues have been _________ delayed , informed the executive to the client.

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

to kill someone by covering their nose and mouth so that they suffocate

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.

This is the arresting and dominant fact about modern social discussion; that the quarrel is __________ merely about the difficulties, but about the aim. We agree about the evil; it is about the good that we should tear each ____________ eyes out. We all admit that a lazy aristocracy is a bad thing. We should not by ________ means all admit that an active aristocracy would be a good thing. We all feel angry with an irreligious priesthood; but some of us would _______ mad with disgust at a really religious one. Everyone is indignant if our army is weak, _____________ the people who would be even more indignant if it were strong.

our army is weak, _____________ the people who