Your Answer : (Not Answered)

Correct Answer : A

The number who like their core branches is 1,800.

Of the 10,000 students, \(10000 - 1500 = 8500\) like at least one kind of branch. Let \(C\) like their core branches and \(O\) like other branches, with \(C = O/4\) and 500 liking both. By inclusion and exclusion,

\[ \begin{aligned} C + O - 500 &= 8500 \\ C + 4C &= 9000 \\ C &= 1800 \end{aligned} \]

So 1,800 like their core branches and 7,200 like other branches. 1,600 comes from subtracting the 500 who like both instead of adding it back (\(5C = 8000\)), and 3,500 and 1,500 are numbers from the question rather than results.

Your Answer : (Not Answered)

Correct Answer : D

The solution, x = 8, also satisfies 5(x - 5) = 2(x - 3) + 5.

Solve the given equation:

\[ \begin{aligned} 10x + 60 + 8x - 24 &= 25x - 20 \\ 18x + 36 &= 25x - 20 \\ 56 &= 7x, \quad x = 8 \end{aligned} \]

Now test x = 8 in the options. In 5(x - 5) = 2(x - 3) + 5, the left side is 5(3) = 15 and the right side is 2(5) + 5 = 15, so it holds.

The others fail: 5(5) = 25 but 8 + 5 = 13; 3(19) = 57 but 2(8) + 1 = 17; 2(11) = 22 but 5(3) + 4 = 19.

Your Answer : (Not Answered)

Correct Answer : D

T = 5/2 year
Let the banker’s discount, BD = Rs.1
Then, banker’s gain, BG = (9/25)*1 = Rs. 9/25
BG = BD-TD
=> 9/25 = 1-TD
=> TD = 1-9/25 = 16/25
F = BD*TD/(BD-TD)
= (1*16/25)/(1-(16/25)) (16/25)/(9/25) = Rs. 16/9
BD = simple interest on the face value of the bill for unexpired time = FTR/100
=> 1 = (16/9)*(5/2)*R/100
=> 100 = (16/9)*(5/2)*R
=> 100 = 16*5*R/9*2
=> 100 = 8*5*R/9
=> R = 100*9/8*5
= 100*9/40 = 5*9/2 = 45/2 = 22 1/2 %

Your Answer : (Not Answered)

Correct Answer : B

Fencing follows the circumference, and the diameter is given directly.

\[ C = \pi d = \frac{22}{7} \times 28 = 88 \text{ m} \]

\[ \text{cost} = 88 \times 1.50 = \text{Rs. } 132 \]

Using \( 2\pi d \) - effectively treating 28 as the radius - would double the answer to Rs. 264.

Your Answer : (Not Answered)

Correct Answer : D

Correct answer: Definitely true

The passage calls wind an inexhaustible source of energy which an aerogenerator can convert into electricity, and describes a vast potential for developing it as an alternative source of energy. To be an alternative to the exhaustible sources is to be capable of taking their place, so the statement follows from the passage’s own description rather than from anything added to it.

Your Answer : (Not Answered)

Correct Answer : E

Correct answer: Both I and II are implicit

Advising that leave be refused presupposes that a request for leave can be refused - assumption I - and that the supervisor has looked at the work due in that period, else the advice would rest on nothing. Both are implicit.

Your Answer : (Not Answered)

Correct Answer : D

The odd group is L P M.

In the other groups the first two letters are three places apart and the third letter is the opposite of the second (positions adding to 27): C (3), F (6), U (21) with \(6 + 21 = 27\); F (6), I (9), R (18) with \(9 + 18 = 27\); I (9), L (12), O (15) with \(12 + 15 = 27\).

In L P M, L (12) and P (16) are four places apart, and P (16) and M (13) add to 29, not 27. It breaks both rules, so it is the odd one out.

Your Answer : (Not Answered)

Correct Answer : A

Omega-3 fatty acids are good because they can control elevated triglyceride levels.

Omega-3 fatty acids lower the level of triglycerides in the blood and are linked to a lower risk of heart disease. They also tend to reduce, not raise, inflammation.

So the options that say they raise triglycerides, lower immune response or quickly activate inflammation are wrong.

These fats are found in oily fish, flaxseed and walnuts. They lower triglycerides, help to keep the heartbeat regular and have an anti-inflammatory effect. So the statements saying that they raise triglycerides, reduce immunity or activate inflammation go against what is known about them.

Your Answer : (Not Answered)

Correct Answer : C

It is the Somali shilling.

The shilling has had no functioning central bank behind it for much of the period since 1991, and privately printed notes circulated by common consent. Mobile money now carries most transactions in the country.

Your Answer : (Not Answered)

Correct Answer : C

Cadmium does not liberate hydrogen from water.

Sodium, lithium and potassium are all alkali metals, high in the reactivity series, and react with even cold water. Cadmium lies below hydrogen in the series and is unaffected by water at ordinary temperatures.

Your Answer : (Not Answered)

Correct Answer : D

Hydrogen is called the fuel of the future.

It has the highest energy content per unit mass of any fuel, about \(142\ \mathrm{kJ\,g^{-1}}\), and its only combustion product is water: \[\mathrm{2H_2 + O_2 \rightarrow 2H_2O}\] The obstacles are producing it without fossil fuels and storing a gas of such low density safely.

Your Answer : (Not Answered)

Correct Answer : C

Poling removes reducible oxides from a metal.

Molten metal is stirred with green wooden poles; the wood gives off hydrocarbon gases that reduce the oxide back to the metal. It is used to refine copper containing cuprous oxide, and tin. Liquation separates by melting point, cupellation removes lead from silver, and electrorefining works by electrolysis.

Your Answer : (Not Answered)

Correct Answer : D

The computer that stores files for others on a network is the file server.

It holds shared data centrally, so files can be backed up in one place and access controlled by user account rather than by machine.

Your Answer : (Not Answered)

Correct Answer : D

James Watt invented the rotary steam engine.

He did not invent the steam engine - Newcomen's was already at work - but added the separate condenser in 1765, which cut fuel use by three quarters, and then sun-and-planet gearing to turn the piston's motion into rotation, which took steam from pumping into manufacture.

Your Answer : (Not Answered)

Correct Answer : D

Mediterranean regions serve all three purposes. The hot dry summers and mild wet winters suit citrus, olives and other fruit; the same climate makes them among the world's great wine producers; and the sunshine and coastline draw tourists in enormous numbers.

Since each use is real, the combined choice is correct.

Your Answer : (Not Answered)

Correct Answer : D

Radiation belts - trapped zones of charged particles - surround every planet with a strong magnetic field, and so are found around the Earth, Jupiter and Saturn.

The Earth's are the Van Allen belts; Jupiter's are the most intense in the solar system, thousands of times stronger than ours.

Your Answer : (Not Answered)

Correct Answer : A

Lake Victoria, at about 68,800 sq km, is Africa's largest lake by area and the world's largest tropical lake. Tanganyika is deeper and holds more water but covers less surface.

Your Answer : (Not Answered)

Correct Answer : A

Defence expenditure is not development expenditure.

Development expenditure covers economic services, social and community services, and grants to states for such purposes - all of which add to productive capacity or human capital. Defence, like interest payments and administration, is non-development expenditure.

Your Answer : (Not Answered)

Correct Answer : C

Correct answer: Mahatma Gandhi

Mahatma Gandhi was never a member of the Constituent Assembly. He did not stand for election to it and took no part in its proceedings, though his influence on it - on the Directive Principles concerning village panchayats, prohibition and cottage industries in particular - was considerable. He was assassinated in January 1948, while the Assembly was still at work. The Assembly had 389 members initially, reduced to 299 after partition, elected indirectly by the provincial assemblies under the Cabinet Mission Plan. It included fifteen women, among them Sarojini Naidu, Vijaya Lakshmi Pandit, Rajkumari Amrit Kaur, Durgabai Deshmukh and Hansa Mehta. Ambedkar chaired the Drafting Committee, Patel chaired the Advisory Committee on Fundamental Rights and Minorities, Nehru moved the Objectives Resolution, and Rajendra Prasad presided. Another figure often wrongly assumed to have been a member is Jayaprakash Narayan, who was elected but declined to serve.

Your Answer : (Not Answered)

Correct Answer : C

Sugarcane needs the most water per hectare.

It requires roughly 1,500 to 2,500 mm over a growing season of ten to eighteen months, several times what wheat or barley need. This is why sugarcane in the water-scarce parts of Maharashtra and Karnataka is so contentious.