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?

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

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

Perseverance

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.

_____________ who argue in this way support their case by pointing to the lack of a general consensus of opinion which obtains in many parts of the field which the philosopher regards as his own; and also by ____________ out that, even within this field, there is a growing tendency ___________ the part of certain sciences to separate themselves from philosophy and _____________ independent. Thus the psychologist and the logician are sometimes very anxious to have it understood that they belong among the scientists and ___________ among the philosophers.

from philosophy and _____________ independent.

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 psychopath gets a ______________ sense of enjoyment from torturing animals.

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

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

Morbid