Your Answer : (Not Answered)

Correct Answer : A

The standard equation of a circle with center (h, k) and radius r is \((x-h)^2 + (y-k)^2 = r^2\).

Given center (h, k) = (2, -3) and radius r = 4.

The equation is \((x-2)^2 + (y-(-3))^2 = 4^2\).

This simplifies to \((x-2)^2 + (y+3)^2 = 16\).

Your Answer : (Not Answered)

Correct Answer : A

The numbers are 108, 117, ..., 999. This is an A.P. with \(a=108, d=9, a_n=999\). Number of terms: \(999=108+(n-1)9 \Rightarrow 891=(n-1)9 \Rightarrow n-1=99 \Rightarrow n=100\). Sum = \(\frac{100}{2}(108+999) = 50(1107) = 55350\).

Your Answer : (Not Answered)

Correct Answer : A

Let Ben’s age now be \(B \) 

Anita's age now be \(A\) 

\((A - 6) = P(B - 6)\)

But \(A\) is 17 and therefore, \(11 = P(B - 6)\)

\(\Rightarrow 11/P = B-6\)

\(\Rightarrow (11/P) + 6 = B\)

Your Answer : (Not Answered)

Correct Answer : D

Correct answer: Statue

The relation is maker : what he makes. An architect designs a building; a sculptor makes a statue. Stone is his material and the chisel his tool; the museum only displays the finished work.

Your Answer : (Not Answered)

Correct Answer : E

Correct answer: discussed

Discuss is a transitive verb and takes a direct object with no preposition: she discussed the matter. The about is already contained in the meaning of the verb, so adding it is redundant. A group of verbs behaves the same way and is worth learning together, since all of them attract an unnecessary preposition in Indian English: discuss, describe, emphasise, investigate, order, request, resemble, accompany, reach and enter. One does not describe about a scene, emphasise on a point, resemble to a parent or reach at a station. The corresponding nouns, however, do take prepositions: a discussion about the matter, an emphasis on quality. That contrast is the source of the confusion. Note also enter versus enter into: one enters a room, but enters into an agreement.

Your Answer : (Not Answered)

Correct Answer : B

It is a pseudonym.

A pseudonym is a false name, from the Greek pseudes, false, and onoma, name. A nickname is given by others rather than adopted, and nomenclature is a system of naming.

Your Answer : (Not Answered)

Correct Answer : A

It is kindness.

Compassion is sympathy for another's suffering together with the wish to relieve it, from the Latin for suffering with. Cruelty is its opposite.

Your Answer : (Not Answered)

Correct Answer : D

It is letters.

Correspondence means letters exchanged between people. Documents and contracts are papers of other kinds, and agreements are what a contract records.

Your Answer : (Not Answered)

Correct Answer : B

The correct article is a: the film had a bad review.

Review is a singular countable noun mentioned for the first time, so it needs the indefinite article. Since 'bad' begins with a consonant sound, the form is a.

'The bad review' would point to a review already known to the reader. 'An' is used before vowel sounds. Leaving out the article is wrong because a singular countable noun cannot stand alone here.

Your Answer : (Not Answered)

Correct Answer : B

The correct inference is eating healthy can be started at any age, earlier the better.

The passage says it is 'never too early' to start eating healthy and gives the example that babies who eat healthily in their first year tend to have better health later. Together these support starting at any age, with an earlier start being better.

Nothing in the passage restricts the benefit to people already in good health, so the first option is unsupported. It does not compare how strongly diet and health are correlated at different ages, and it does not say healthy eating matters more for adults than for children; if anything it stresses an early start.

Your Answer : (Not Answered)

Correct Answer : D

Correct answer: All of the above

All three are hostile programs a machine must be defended against: a virus attaches itself to a file or boot sector and spreads when that is used; a worm propagates across a network by itself; and a time bomb lies dormant until a set date and then does its damage.

Your Answer : (Not Answered)

Correct Answer : B

Correct answer: Cold and dry

Dry air is an insulator, so charge accumulates on a body instead of leaking away, and cold air holds less moisture than warm. Cold and dry is therefore the worst combination - which is why static problems are worst in winter.

Your Answer : (Not Answered)

Correct Answer : B

The correct code is a-3, b-4, c-1, d-2.

• Mars: about 687 days to orbit the Sun.
• Earth: about 365 days.
• Mercury: about 88 days, the shortest year of any planet.
• Venus: about 225 days.

The periods grow with distance from the Sun (Kepler's third law), so Mercury must have the shortest and Mars the longest of these four. The code a-3, b-4, c-2, d-1 swaps Mercury and Venus, and the codes starting a-2 make Mars faster than Earth.

Your Answer : (Not Answered)

Correct Answer : B

The Co-operative Societies Act was enacted in 1912.

Broadening the Co-operative Credit Societies Act of 1904, it allowed registration of non-credit societies as well and provided for central societies, giving the Indian co-operative movement its statutory shape.

Your Answer : (Not Answered)

Correct Answer : A

Buoyancy depends on the mass of the liquid displaced.

By Archimedes' principle the upthrust equals the weight of fluid displaced: \[F_B = \rho_{fluid}\,V_{displaced}\,g\] It does not depend on the mass of the body, nor on the depth once the body is fully submerged, nor on its shape except through the volume displaced.

Your Answer : (Not Answered)

Correct Answer : B

The ball continues along the tangent to the circle.

The string's tension had been supplying the centripetal force. Once it snaps there is no inward force, and Newton's first law carries the ball on with the velocity it had at that instant, which is tangential to the circle.

Your Answer : (Not Answered)

Correct Answer : B

The apparent weight is more than the true weight.

For a lift accelerating upwards with acceleration \(a\), the floor must both support the body and accelerate it: \[N - mg = ma \Rightarrow N = m(g+a)\] The reading is that normal force, so it exceeds \(mg\). Going down with acceleration \(a\) it would read \(m(g-a)\).

Your Answer : (Not Answered)

Correct Answer : C

2002 was the International Year of Ecotourism.

It examined how tourism could support conservation and local livelihoods rather than damage them, and culminated in the World Ecotourism Summit at Quebec in May 2002.

Your Answer : (Not Answered)

Correct Answer : D

Correct answer: 500 metres on the ground

A representative fraction such as 1 : 50,000 means one unit on the map stands for 50,000 of the same units on the ground. So one centimetre represents 50,000 cm, and \[ 50{,}000 \text{ cm} = 500 \text{ m} = 0.5 \text{ km}. \] The convenient rule is to strike five zeros: divide the scale denominator by 100,000 to get the number of kilometres one centimetre represents. The fraction is unitless, which is what makes it usable with any measuring unit - an inch on the same map would represent 50,000 inches. Note the terminology trap: 1 : 50,000 is a larger scale than 1 : 250,000, because the fraction is larger. Large-scale maps show a small area in fine detail; small-scale maps cover a large area coarsely.

Your Answer : (Not Answered)

Correct Answer : C

Dr Verghese Kurien was the father of Operation Flood.

He built the Amul co-operative at Anand and, as chairman of the National Dairy Development Board, ran Operation Flood from 1970. William Gaud coined the term green revolution; Norman Borlaug and M.S. Swaminathan led it.