Your Answer : (Not Answered)

Correct Answer : B

Solving a differential equation by Laplace transform runs in three steps:

1. Transform the equation into an algebraic subsidiary equation in \( s \)
2. Solve that subsidiary equation by algebra alone
3. Take the inverse transform to recover the solution in \( t \)

Step 2 is where the method pays off: no calculus is needed, only ordinary algebraic manipulation.

Your Answer : (Not Answered)

Correct Answer : A

Let the tower be \( h \) m and the observer \( d \) m away. The flagpole's bottom is the tower's top.

\[ \tan 30^{\circ} = \frac{h}{d} \quad\Longrightarrow\quad d = h\sqrt{3} \]

\[ \tan 60^{\circ} = \frac{h+18}{d} \quad\Longrightarrow\quad h + 18 = \sqrt{3} \cdot h\sqrt{3} = 3h \]

\[ 2h = 18 \quad\Longrightarrow\quad h = 9 \text{ m} \]

Since \( \tan 60^{\circ} \div \tan 30^{\circ} = 3 \), the tower-plus-flagpole is always three times the tower alone - so the flagpole equals twice the tower.

Your Answer : (Not Answered)

Correct Answer : B

Since the response was 'surprising', so I is implicit. Nothing about the real management of service sector can be deduced from the statement. So, II is not implicit. Also, the statement talks of the media's response to only a particular session on service sector and not all in general. So, III is also not implicit.

Your Answer : (Not Answered)

Correct Answer : A

Correct answer: 13122

The terms are multiplied rather than added to. Dividing each by its predecessor gives the same result throughout: 18 over 2 is 9, and 162 over 18 is 9, so the ratio is 9. Multiplying the last term, 1458 times 9 is 13122. As a check, dividing the answer by 9 returns 1458, which is the last term shown. The answer to a series question should always be substituted back before it is chosen.

Your Answer : (Not Answered)

Correct Answer : B

Correct answer: Mary asks Harry if he is ok.

The reporting verb asks is present, so there is no backshift: are becomes is only because the subject changes from you to he. The vocative Harry becomes the object of asks, which is why naming him only in the if clause is not enough.

Your Answer : (Not Answered)

Correct Answer : C

It is novel.

Fiction is invented narrative, and the novel is its principal form. Imaginary is an adjective, so it cannot stand for the noun.

Your Answer : (Not Answered)

Correct Answer : C

To gesticulate is to make expressive gestures while speaking.

The verb comes from the Latin gesticulari, from gestus, a gesture. Someone who gesticulates uses hand and arm movements, usually with energy, to add emphasis to what they say.

The other options define different words. To think about a topic seriously is to ponder or deliberate. To abandon or forsake is to desert or relinquish. 'To neutralize fast' describes no English verb of this form and is a pure distractor.

Your Answer : (Not Answered)

Correct Answer : D

It is final ... conclusion.

A long-awaited conclusion belongs in the final book of a series, and the two words support each other. A plot or a hero can appear in any volume, and a conflict comes at the start rather than the end.

Your Answer : (Not Answered)

Correct Answer : A

It is tortuous.

Tortuous means full of twists and turns, which is what a mountain road is. Torturous means causing torture - one letter apart, and the pair most often confused in English.

Your Answer : (Not Answered)

Correct Answer : C

It is rice.

Rice is the grain. To rise is to go up, and to raise is to lift something else - and the sentence needs a thing to be cooked, not a verb.

Your Answer : (Not Answered)

Correct Answer : D

Correct answer: Switching hub

A switching hub, or switch, reads the destination address in each frame and forwards it only to the port where that address lies, instead of repeating it to every port as a plain hub does.

Your Answer : (Not Answered)

Correct Answer : C

A rocket works on Newton's third law.

The third law says that for every action there is an equal and opposite reaction. A rocket burns fuel and forces hot exhaust gases out backwards at high speed; the gases push back on the rocket with an equal and opposite force, which drives it forward. Because it needs nothing to push against, a rocket works even in the vacuum of space.

The first law (inertia) and the second law (force equals rate of change of momentum) describe how the rocket's motion changes once the force acts, but the principle that produces the thrust is the third law, which is why the answer is the third law rather than 'All of the above'.

Your Answer : (Not Answered)

Correct Answer : D

All the above are chemical weathering.

Oxidation turns iron minerals to rust and crumbles the rock; carbonation dissolves limestone as \[\mathrm{CaCO_3 + H_2O + CO_2 \rightarrow Ca(HCO_3)_2}\] which is how caves form; and acid rain accelerates both. Each alters the rock's chemical composition, unlike physical weathering by frost or heat.

Your Answer : (Not Answered)

Correct Answer : B

Rafael Nadal won a second Olympic tennis gold in August 2016, taking the men's doubles at Rio with Marc López.

His first had been the singles gold at Beijing in 2008. He is one of only a handful of players to have won Olympic gold in both singles and doubles.

Your Answer : (Not Answered)

Correct Answer : B

George Inman invented it.

He led the General Electric team that produced the first practical fluorescent lamp in 1938. A discharge through mercury vapour emits ultraviolet, which a phosphor coating converts to visible light - three times as efficient as a filament lamp.

Your Answer : (Not Answered)

Correct Answer : C

Bats and dolphins find prey by echolocation. They emit short high-frequency pulses and judge the direction, distance and even the texture of an object from the returning echoes.

A bat can catch a moth in complete darkness this way, and a dolphin can find a fish buried in sand.

Your Answer : (Not Answered)

Correct Answer : C

It is Rajasthan.

Rajasthan covers 342,239 km², about a tenth of India, and became the largest state when Madhya Pradesh was divided in 2000.

Your Answer : (Not Answered)

Correct Answer : D

Corbett National Park is the one in Uttarakhand, in the Nainital district.

Bandipur is in Karnataka, Balpakram in Meghalaya, and the Chandraprabha sanctuary in Uttar Pradesh.

Your Answer : (Not Answered)

Correct Answer : A

It began in agricultural credit.

The Co-operative Credit Societies Act of 1904 was intended to free the cultivator from the moneylender, and credit societies were for many years the only kind allowed. The Act of 1912 opened the movement to marketing, processing and other non-credit societies.

Your Answer : (Not Answered)

Correct Answer : B

India's first atomic power plant is at Tarapur.

The Tarapur Atomic Power Station in Maharashtra was commissioned in 1969 with two American-built boiling water reactors, under an agreement with General Electric. Kalpakkam, commissioned in 1984, was the first built entirely to Indian design.