Exams

If a + b = 1, then a4 + b4 - a3 - b3 - 2a2b2 + ab is equal to

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.

Violence takes a heavy toll and affects public life ______. High or low, known or unknown, rich or poor, popular or unpopular, no one is safe or secure today. It
appears that one can harm anybody at any time and at ______. A mad and sad rat race is on to make money and ______ power at any cost and by any means. The
result is that no political party or group can now ______ into claim to total innocence in so far as ______ of violence against innocent person for personal or political
gains is concerned. Violent demonstrations, rallies, hartals have become the order of the day.

Violence takes a heavy toll and affects public life ______.

What is the value of tan 6° tan 36° tan 84° tan 54° tan 45°?

If x1x2x3 = 4(4 + x1 + x2 + x3 ), then what is the value of [1/(2 + x1 )] + [1/(2 + x2 )] + [1/(2 + x3 )]?

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.

The authorities will reward you for your hard work.

Who is known as the father of Green Revolution?

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'.

Visitors to the zoo(A)/are amused by the monkeys(B)/play in the cages.(C)/No error(D)

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.

To begin______, let us ask ___________ such an appellation, assuming it has only positive___________, was ever deserved in a city like Bengaluru. At the risk__________ earning the well-shaped wrath of fellow Bengalureans, let me explain that______ for a "peacefull" past apart, it would be difficult to assert that "Asia's Silicon Valley" had even a history of toleration of difference.

At the risk__________ earning the well-shaped wrath of fellow Bengalureans