Questions

If a+1a2 = 3, then the value of a18+ a12+a6 + 1 is

If cosec∅+sin∅cosec∅-sin∅=53 then the value of sin∅is equal to

Who is the author of the book titled 'Numbers Do Lie'?

A passage is given with 5 questions following it. Read the passage carefully and choose the best answer to each question out of the four alternatives.

The quest to find life outside the solar system got a big boost with the discovery of seven Earth-size extra-solar planets, or exoplanets, orbiting a dwarf star about 40 light years away. Unlike earlier discoveries of exoplanets, all seven planets could possibly have liquid water — a key to life as we know it on Earth — with three planets having the greatest chance. This is by far the largest collection of Earth-like planets in the habitable 'Goldilocks' zone of a star — neither too close nor too far from a star, which raises the possibility of liquid water being present on the surface. Only Earth has liquid water in the solar system. Since the dwarf star is much cooler than the Sun, the dimming of light each time a planet passes or transits before the star could be easily recorded from Earth unlike in cases when planets transit a Sun-like bright star. Since the initial discovery of three planets was made using the Chile-based Transiting Planets and Planetesimals Small Telescope, the exoplanet system is called TRAPPIST-1.

What is essential to have the possibility of life on a planet?

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

Over egg the pudding

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

A laughing stock

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 detective's ability to ________ makes it easy for him to scare suspects into confessing.

In the following question, a sentence has been given in Direct/Indirect speech. Out of the four alternatives suggested, select the one which best expresses the same sentence in Indirect/Direct speech.

"Ooh! what a dirty child!" said my aunt.