Your Answer : (Not Answered)

Correct Answer : B

The embankment is 5 meter high.

The earth dug out is a cylinder of radius 7 m and depth 15 m. It is spread as a ring from radius 7 m to radius 7 + 7 = 14 m, so its volume equals the area of that ring times the height \(h\):

\[ \begin{aligned} \pi (7^{2})(15) &= \pi (14^{2} - 7^{2}) h \\ 735 &= 147h \\ h &= 5 \text{ m} \end{aligned} \]

Using the full circle of radius 14 m instead of the ring would give \(735/196 = 3.75\) m, which is not offered; the well itself is not covered by the embankment.

Your Answer : (Not Answered)

Correct Answer : B

A hexagonal pyramid has 7 vertices, 12 edges and 7 faces.

The base is a hexagon with 6 vertices and 6 edges, and the apex adds 1 vertex joined to each base vertex by 6 slant edges. The faces are the base and 6 triangular sides:

\[ \begin{aligned} V &= 6 + 1 = 7 \\ E &= 6 + 6 = 12 \\ F &= 1 + 6 = 7 \end{aligned} \]

Euler's formula checks it: \(V - E + F = 7 - 12 + 7 = 2\). The other options fail this check or miscount the base (6 faces leaves out the base, 6 vertices leaves out the apex).

Your Answer : (Not Answered)

Correct Answer : C

This is an Arithmetico-Geometric Progression (A.G.P.) with the A.P. part being 1, 2, 3, ... and G.P. part being \(1, x, x^2, ...\). The sum of an infinite A.G.P. is given by \(S = \frac{a}{1-r} + \frac{dr}{(1-r)^2}\). Here, the first term of the A.P. is \(a_{AP}=1\), \(d=1\), and \(r=x\). The first term of the A.G.P. is \(a=1\). The sum is \(S = \frac{1}{1-x} + \frac{1 \cdot x}{(1-x)^2} = \frac{1-x+x}{(1-x)^2} = \frac{1}{(1-x)^2}\). This is a standard result for the expansion of \((1-x)^{-2}\).

Your Answer : (Not Answered)

Correct Answer : B

Correct answer: Probably true

The passage says pupils in over 50 percent of the schools read in the open throughout the year. Pupils taught outdoors all year round almost certainly have no adequate classroom, and over half the schools is most of them. The passage does not say the classrooms are inadequate - that is the reader’s inference from where the teaching happens - so probably true is the correct strength.

Your Answer : (Not Answered)

Correct Answer : C

The data in both statements together are necessary and sufficient, so the answer is the third option.

From statement I, 'yu ui qw' means 'blood is red'. Statement II gives 'ls yu wd ui' for 'this is red flag'. The words yu and ui appear in both codes, and 'is' and 'red' appear in both meanings, so yu and ui stand for 'is' and 'red'. Then the remaining code qw in statement I must mean 'blood'.

Statement I alone cannot tell which of yu, ui and qw is 'blood', and statement II alone does not contain 'blood' at all. So both statements are needed together.

This kind of question is solved by looking for a common word in the codes. Only the words 'is' and 'red' appear in both sentences, and the codes yu and ui appear in both, so they must stand for those two words. Once they are known, the leftover word in the first sentence, 'blood', must be qw, and both statements are used.

Your Answer : (Not Answered)

Correct Answer : D

According to the question, after the position of the first and third digit interchanged new numbers are
789, 415, 856, 784, 404, 962

962, 856, 789, 784, 404, 415
Here the second lowest number is 404 and the last digit of it is '4'.

Your Answer : (Not Answered)

Correct Answer : A

The error is in I am much pleased.

Much does not modify an adjective directly in the affirmative; the form is very pleased, or much pleased only in older or formal English. Very is what the sentence needs.

Your Answer : (Not Answered)

Correct Answer : B

Correct answer: I thought you liked hot weather.

Anurag replies yes, I do, but it's boiling today. Yes, I do can only answer a statement about what he likes, and but then qualifies it. A question about the weather report would be answered with whether he listens to it.

Your Answer : (Not Answered)

Correct Answer : A

This sentence completely means that device means to come up with so you cannot device a method which exclude all possibility of errors - avoid and ignore can't be the option because there is still some error in your method. option A is correct.

Your Answer : (Not Answered)

Correct Answer : D

It is xenophobia.

Xenophobia is fear or dislike of foreigners, from the Greek xenos, stranger. Racism is prejudice on grounds of race, and chauvinism is exaggerated loyalty to one's own group.

Your Answer : (Not Answered)

Correct Answer : B

Pediatrics is the branch of medicine that deals with the medical care of infants, children, and adolescents, and the age limit usually ranges from birth up to 18-21 years of age (in some places until completion of secondary education). A medical practitioner who specializes in this area is known as a pediatrician.

Your Answer : (Not Answered)

Correct Answer : B

The antonym of fertile is barren.

Fertile land or a fertile mind produces abundantly; barren land produces nothing, so barren is its direct opposite.

Fecund and fruitful are synonyms of fertile, not antonyms: both mean productive. Feverish means having a fever or being frantically excited, and is chosen only because it looks like fertile; it has no opposite meaning.

Your Answer : (Not Answered)

Correct Answer : A

Correct answer: Laser disks

On an optical disk the data is recorded as microscopic pits pressed into a reflective layer; a laser beam scans the track and detects the change in reflection at each pit edge. Tape and punched cards store data magnetically and mechanically, and a RAM cartridge holds it electronically.

Your Answer : (Not Answered)

Correct Answer : A

The first Backward Classes Commission was chaired by Kaka Kalelkar.

Appointed by the President in January 1953 under Article 340, the commission submitted its report in 1955, identifying more than 2,000 backward castes. The government did not accept its recommendations.

The second Backward Classes Commission (1979) was headed by B.P. Mandal. John Mathai was a Finance Minister, and Madhu Dandavate a Railway and later Finance Minister; neither headed this commission.

Your Answer : (Not Answered)

Correct Answer : A

The Penny Post was the idea of Rowland Hill.

In his pamphlet Post Office Reform: Its Importance and Practicability (1837), the English teacher and reformer Rowland Hill argued for a single low rate of postage, paid in advance by the sender, whatever the distance. The Uniform Penny Post began in Britain in January 1840, and the Penny Black, the world's first adhesive postage stamp, followed in May 1840. Cheap, fast letters transformed communication.

John McAdam devised the macadam road surface, George Stephenson built early railway locomotives such as the Rocket, and Samuel Morse developed the electric telegraph and Morse code. All improved communication or transport, but none devised the Penny Post.

Your Answer : (Not Answered)

Correct Answer : D

The work done is the same, but the rate of doing it is less when rolling.

Raising the stone through a height \(h\) takes \(mgh\) of work against gravity by either route. What changes is the force: on an incline of angle \(\theta\), only \(mg\sin\theta\) has to be overcome, applied over the longer distance \(h/\sin\theta\). The smaller force spread over more time is what makes it feel easier.

Your Answer : (Not Answered)

Correct Answer : A

Momentum and impulse share dimensions.

Impulse is force times time and momentum is mass times velocity: \[[\mathrm{Ft}] = \mathrm{MLT^{-2}\cdot T} = \mathrm{MLT^{-1}},\qquad [\mathrm{mv}] = \mathrm{M\cdot LT^{-1}} = \mathrm{MLT^{-1}}\] They must agree, since the impulse–momentum theorem says one equals the change in the other.

Your Answer : (Not Answered)

Correct Answer : A

Dust on a computer's circuit boards causes overheating.

It blankets the components and clogs the heatsink fins and fan, so heat cannot escape. The processor then throttles itself or shuts down, and sustained heat shortens the life of every component.

Your Answer : (Not Answered)

Correct Answer : C

The Satanic Verses (1988) was written by Salman Rushdie.

The novel was banned in India and several other countries, and in 1989 Ayatollah Khomeini issued a fatwa against the author. Rushdie had earlier won the Booker Prize for Midnight's Children (1981).

Your Answer : (Not Answered)

Correct Answer : D

India bought the Barak system from Israel.

The Barak-1 point-defence missile was acquired from Israel Aerospace Industries for the navy in 2000 to counter sea-skimming anti-ship missiles, and the longer-range Barak-8 was later developed jointly by IAI and the DRDO.