Your Answer : (Not Answered)

Correct Answer : B

There are 48 such numbers.

A number is divisible by 3 when its digit sum is. The five digits sum to 1 + 3 + 4 + 6 + 7 = 21. Choosing four of them means leaving one out, and the remaining sum, 21 minus that digit, is divisible by 3 only if the omitted digit is itself divisible by 3, that is 3 or 6.

So the usable digit sets are {1, 4, 6, 7} and {1, 3, 4, 7}. Each can be arranged in 4! = 24 ways, giving 2 × 24 = 48. 24 counts only one of the two sets, and 72 or 12 do not follow from the count.

Your Answer : (Not Answered)

Correct Answer : C

Pipe C alone fills the tank in 2 2/3 hours. In 3 hours A and B together fill \[3\left(\frac{1}{8} + \frac{1}{10}\right)\] \[= \frac{27}{40}\] of the tank, leaving 13/40. A and C together fill this in 39 minutes, which is 13/20 hour, so their combined rate is \[\frac{13/40}{13/20} = \frac{1}{2}\] tank per hour. Then C's rate is \[\frac{1}{2} - \frac{1}{8} = \frac{3}{8}\] and C alone takes 8/3 = 2 2/3 hours. The options 3, 3 1/2 and 4 1/2 give rates of 1/3, 2/7 and 2/9 for C, which do not fit.

Your Answer : (Not Answered)

Correct Answer : B

\[ d = \sqrt{x^{2} + y^{2}} = \sqrt{16 + 9} = \sqrt{25} = 5 \]

The sign of the coordinate disappears in the squaring.

Your Answer : (Not Answered)

Correct Answer : A

Correct answer: 2,4,1,5,3

The words run in order of the stages of manufacture: Plant → Cotton → Yarn → Cloth → Saree.

Your Answer : (Not Answered)

Correct Answer : A

Correct answer: Both A and R are true and R is the correct explanation of A.

Iron expands when heated, so rails laid tight in cool weather would buckle on a hot day. The gap left between lengths gives the metal room to expand, which is exactly why it is there. Both are true and R explains A.

Your Answer : (Not Answered)

Correct Answer : A

Correct answer: 150

Read in threes, the numbers 50, 100, 200 double each time, and the group that follows opens with 150 - the product of the two numbers that come after it, since \( 3 \times 50 = 150 \).

Your Answer : (Not Answered)

Correct Answer : B

Correct answer: Rice

The relation is pest : the crop it attacks. The bollworm bores into the bolls of cotton; the gundhi bug sucks the milky grain of rice in the ear, leaving it shrivelled and giving the crop its characteristic smell.

Your Answer : (Not Answered)

Correct Answer : A

Correct answer: Players

The question asks what is always present, not what usually is. A game must be played, so there must be players. Spectators, a referee and a decisive result are all optional.

Your Answer : (Not Answered)

Correct Answer : C

Correct answer: Sister

His brother’s father is the man’s own father, and the only son of my grandfather is the woman’s own father. Sharing a father, the two are siblings, so the woman is his sister.

Your Answer : (Not Answered)

Correct Answer : D

The statements that are not true are (A), (B) and (D).

(A) is false: a compound has properties different from its constituents, as water differs from hydrogen and oxygen. (B) is false: compounds also react with elements or other compounds to form new compounds. (D) is false: compounds can be separated into their elements only by chemical methods, not physical ones.

(C) is true, since every compound has a fixed composition by mass (the law of constant proportions), so any option including (C) is wrong.

Your Answer : (Not Answered)

Correct Answer : B

The United States led the boycott of the 1980 Moscow Olympics, in protest at the Soviet invasion of Afghanistan.

Sixty-five countries stayed away. The Soviet Union and its allies retaliated by boycotting the Los Angeles Games in 1984.

Your Answer : (Not Answered)

Correct Answer : A

Sir Humphry Davy discovered sodium.

He isolated it in 1807 by passing a current through molten caustic soda, and potassium by the same means days earlier. Electrolysis gave him six new elements within two years.

Your Answer : (Not Answered)

Correct Answer : B

It is Marina Beach.

Marina at Chennai runs about 13 km along the Coromandel coast, the longest urban beach in India and the second longest in the world.

Your Answer : (Not Answered)

Correct Answer : A

Superstar India: From Incredible to Unstoppable was written by Shobhaa Dé, published in 2008.

It appeared in the sixtieth year of independence and considers what the country had become and what its new confidence rested on.

Your Answer : (Not Answered)

Correct Answer : B

The National Gallery of Modern Art is at New Delhi.

It opened in 1954 in Jaipur House near India Gate and holds the national collection of modern Indian art, from the Bengal School to the Progressives. It has branches at Mumbai and Bengaluru.

Your Answer : (Not Answered)

Correct Answer : B

The Bagh Caves are not in Maharashtra.

They are in Dhar district of Madhya Pradesh, and hold Buddhist murals of the fifth and sixth centuries comparable with Ajanta's. Bhaja, Bedsa and Ellora are all in Maharashtra.

Your Answer : (Not Answered)

Correct Answer : C

1, 2 and 3 are correct.

The Saraswati Samman is annual, its jury has been headed by a retired Chief Justice of India, and it is confined to Indian citizens. It is not restricted to any one language: any of the languages of the Eighth Schedule is eligible.

Your Answer : (Not Answered)

Correct Answer : D

Correct answer: Fills the pores and cracks of rock and soil beneath the surface

Groundwater occupies the pore spaces and fractures of rock and sediment below ground. Rain that neither runs off nor evaporates infiltrates downward until it reaches the water table, below which the ground is saturated. It is much the largest accessible store of fresh water - far greater than all rivers and lakes together - and supplies most of India’s irrigation and drinking water. It moves very slowly, often metres per year, so an aquifer may hold water that fell as rain centuries ago. That slowness is why over-extraction is so serious: pumping faster than recharge lowers the water table, dries wells, causes land subsidence and, near coasts, draws salt water in. Northwestern India has among the fastest rates of groundwater depletion measured anywhere. Where the water table meets the surface, a spring flows; wetlands and perennial rivers in the dry season are fed the same way.

Your Answer : (Not Answered)

Correct Answer : A

Correct answer: Two thirds of the members present and voting

Under Article 249, the Rajya Sabha may resolve, by a majority of not less than two thirds of the members present and voting, that it is necessary in the national interest for Parliament to legislate on a specified matter in the State List. Such a resolution is valid for one year and may be renewed indefinitely a year at a time; a law made under it ceases to have effect six months after the resolution expires. The provision recognises the Rajya Sabha as the House representing the states, so its consent stands in for theirs. Parliament can legislate on state subjects in four other situations: during a national emergency under Article 250; when two or more states request it under Article 252, in which case the law applies only to them; to implement an international treaty under Article 253; and during President’s Rule in a state. The last of these is the reason a state under Article 356 is governed almost wholly from the centre.

Your Answer : (Not Answered)

Correct Answer : A

Statements 1, 2 and 3 are true, so the answer is 1, 2 and 3.

Terrestrial laser scanning uses a laser scanner set up on the ground (usually on a tripod) to fire laser pulses at its surroundings and record millions of points, building a three-dimensional point cloud of the space around it with millimetre-level detail (1, 3). In forestry it gives rapid, automatic and repeatable estimates of tree height, stem diameter, volume and other inventory attributes (2).

Statement 4 is false, because the technique is ground-based, which is what 'terrestrial' means; satellite-based measurement is a different technology. So options including statement 4 are wrong.