Questions

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

Sultry

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

P, Q, R, S and T are standing in a line. P is taller than S but shorter than Q. T is shorter than S but taller than R. Who is the second tallest of them all?

If k is the largest possible real number such that p4+q4=(p2+kpq+q2)(p2-kpq+q2),then the value of k is

If a3-b3 = 56 and a-b = 2, then what is the value of a2+b2 ?

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.

India has already made _________________ concessions to enable a consensus and successful outcome at Paris. Now it must ensure that it is not caught in a relentless ________________ process where each concession becomes an argument for making the next one. The post-Paris negotiations will determine more ____________ the shape of the climate change architecture for the next several decades. We _______________ ensure that India’s vital interests are safeguarded and the principle ____________ equity and equitable burden-sharing is reflected across this architecture.

Now it must ensure that it is not caught in a relentless ________________ process

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.

The chasm ______________ the needs of the people who struggle ______________ survival, action and inaction by representatives, and lack of remedial justice has compromised representative democracy _________________. Defections from one party to another indicate _______________ of the basic obligations of representatives, even ___________ their own people starve.

lack of remedial justice has compromised representative democracy _________________.

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

to teach a person to accept a set of beliefs uncritically