Questions

What is the simplified value of tan (θ/2) + cot (θ/2)?

A statement is given followed by three inferences numbered I, II, and III. Consider the statement to be true even if it is at variance with commonly known facts. You have to decide which of the inferences, if any, follow from the given statement.

Statement: 

Donald Trump began the week facing accusations of treason over his embrace of Vladimir Putin and ended it with a middle finger to his many critics by inviting the Russian autocrat to the White House.

Inferences:

I. America and Russia are not allies.
II. No prior American President has ever
embraced a Russian counterpart.
III. Russian President, Vladimir Putin,
has been a long-time US enemy.

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.

In the running

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.

For me the ______________ and the chill of those nights dissolved into those little flames of fire that for hours made us live in a wonderland, in a ___________ fair of fireflies, and made us _________ there’s nothing that can blow those divine lights ________. In my mind I can still hear the jingling sounds of ________ tiny bells that grandma used to ring during the puja.

those divine lights ________. In my mind I can

In the following question, out of the given four alternatives, select the alternative which best expresses the meaning of the Idiom/Phrase.

Be in the red

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.

Where is Panna National Park located?

Out of the four alternatives, choose the one which can be substituted for the given words/sentences and click the button corresponding to it.

A place where soldiers live