Your Answer : (Not Answered)

Correct Answer : C

An interval that includes one endpoint but not the other is half closed (equally, half open).

\[ [a,b) = \{\, x \mid a \leq x < b \,\} \]

A closed interval includes both ends and an open one neither.

Your Answer : (Not Answered)

Correct Answer : B

Three of the four words end in the same three letters.

\[ \text{P-art}, \quad \text{C-art}, \quad \text{D-art} \]

Each is a single letter followed by -art.

Trap does not fit that shape - it is an anagram of "part" rather than a member of the -art family.

Your Answer : (Not Answered)

Correct Answer : B

a = 100         a² = 10000

a = 125         a² = 15625

                         ----------------

        10000 --------- 5625

        100 -------? => 56.25 %

Your Answer : (Not Answered)

Correct Answer : A

\[ \text{SI} = \frac{P \times R \times T}{100} \]

The two schemes share the sum and the two years, so only the 6% gap in rate matters.

\[ \frac{P \times (18 - 12) \times 2}{100} = 840 \]

\[ 0.12P = 840 \quad\Longrightarrow\quad P = \text{Rs. } 7000 \]

Checking: Rs. 2520 at 18% against Rs. 1680 at 12% - a difference of exactly Rs. 840.

Your Answer : (Not Answered)

Correct Answer : D

Trains moving in the same direction close at the difference of their speeds; in opposite directions, at the sum.

\[ v_{1} + v_{2} = \frac{276}{12} = 23 \text{ km/hr} \]

The slower train is 14 km/hr behind the faster, so

\[ v_{\text{slow}} = \frac{23 - 14}{2} = 4.5 \text{ km/hr} \]

The faster is then 18.5 km/hr, and \( 4.5 + 18.5 = 23 \) as required.

Your Answer : (Not Answered)

Correct Answer : B

The 60 km difference comes from the difference in speeds.

\[ 21t - 16t = 60 \quad\Longrightarrow\quad 5t = 60 \quad\Longrightarrow\quad t = 12 \text{ h} \]

They approach at \( 16 + 21 = 37 \) kmph:

\[ d = 37 \times 12 = 444 \text{ km} \]

Checking: 192 km and 252 km, differing by exactly 60.

Your Answer : (Not Answered)

Correct Answer : D

With G at the bottom, P is at the top.

First, K is shown next to G and S (second view) and next to P and W (third view), so the only face it can be opposite is T.

Now hold the cube as in the first view: W on top, P in front, T on the right, and therefore K on the left. G and S must be the back and bottom faces. Suppose G is at the back and S at the bottom, and roll the cube to the right so that K comes to the top: W moves to the right side and S to the left. Turn the cube half round so that G comes to the front: S, which was on the left, is now on the right. That is exactly the second view (K top, G front, S right), so the supposition is correct.

G is therefore opposite P, and when G is at the bottom, P is at the top. T is opposite K, and W is opposite S, so neither can be on top with G below.

Your Answer : (Not Answered)

Correct Answer : C

The 207th element from the right is J.

Each letter appears as many times as its position from A: Z once, Y twice, and so on, down to A 26 times. Counting from the right means starting with the A block (26 letters), then B (25), C (24) and so on.

\[ \begin{aligned} A{:}\ 26,\ B{:}\ 51,\ C{:}\ 75,\ D{:}\ 98 \\ E{:}\ 120,\ F{:}\ 141,\ G{:}\ 161 \\ H{:}\ 180,\ I{:}\ 198,\ J{:}\ 215 \end{aligned} \]

The running totals show the I block ends at position 198 and the J block (17 letters) covers 199 to 215, so position 207 is a J. H and I are reached by stopping one or two blocks early.

Your Answer : (Not Answered)

Correct Answer : A

The king is Ratna Manikya I.

Ratna Manikya I, who ruled in the fifteenth century, issued the earliest known coins of Tripura bearing the royal title Manikya. From his time the Manikya kings struck coins regularly, which makes the kingdom's coinage one of the main sources for dating its rulers.

The other kings came later and so cannot have been first: Dhanya Manikya ruled around 1500, Govinda Manikya in the seventeenth century and Krishna Kishore Manikya in the nineteenth.

Your Answer : (Not Answered)

Correct Answer : C

It is Nicaragua.

Spanish is the official language, while Miskito, Sumo and Rama, together with an English-based creole, hold official status on the Caribbean coast.

Your Answer : (Not Answered)

Correct Answer : C

Cancer is caused by uncontrolled mitosis.

Mutations in the genes regulating the cell cycle release a cell from the controls that normally stop division, so it multiplies without limit and its descendants form a tumour. Meiosis produces gametes and has nothing to do with it.

Your Answer : (Not Answered)

Correct Answer : B

The other product is 2,2,2-trichloroethanol.

Chloral, \(\mathrm{CCl_3CHO}\), has no \(\alpha\)-hydrogen, so it undergoes the Cannizzaro reaction: \[\mathrm{2\,CCl_3CHO + NaOH \rightarrow CCl_3COONa + CCl_3CH_2OH}\] One molecule is oxidised to the salt of the acid and the other reduced to the primary alcohol. Chloroform would come from the haloform reaction, which is a different process.

Your Answer : (Not Answered)

Correct Answer : C

Magnesium is extracted commercially from sea water, which contains about 1.3 kg of it per tonne.

Lime is added to precipitate magnesium hydroxide, which is converted to the chloride and then electrolysed to the metal. More than half the world's magnesium has been won this way.

Your Answer : (Not Answered)

Correct Answer : C

Paper is manufactured from wood, treated with calcium bisulphite - made from calcium and sulphur dioxide - together with the resin used for sizing.

The chemical pulping dissolves the lignin that binds the wood fibres, leaving the cellulose free to be matted and pressed into sheets.

Your Answer : (Not Answered)

Correct Answer : B

Sharad Yadav received the Best Parliamentarian Award for 2012.

The award, instituted in 1995, is given by the Indian Parliamentary Group on the recommendation of a committee headed by the Speaker. Yadav was then leader of the Janata Dal (United) in the Lok Sabha.

Your Answer : (Not Answered)

Correct Answer : C

Correct answer: The stratosphere

The stratosphere lies directly above the troposphere, separated from it by the tropopause, and extends to about 50 km. The order from the surface upward is troposphere, stratosphere, mesosphere, thermosphere, exosphere, and the temperature profile alternates: it falls with height in the troposphere, rises in the stratosphere, falls again in the mesosphere and rises in the thermosphere. The stratosphere warms with height because the ozone it contains absorbs ultraviolet radiation. That inversion - warm air above cool - makes the layer extremely stable, so there is almost no vertical mixing, which is why volcanic aerosols and pollutants injected into it can remain for years. It is also why aircraft cruise at its base: above the weather, in smooth air. The mesosphere above is the coldest part of the atmosphere and where meteors burn up.

Your Answer : (Not Answered)

Correct Answer : C

The Mesozoic era, spanning roughly 252 to 66 million years ago, is divided into three periods, in order: the Triassic, the Jurassic and the Cretaceous. Options that name only two of them are incomplete, so the combined choice is correct.

The era opens after the Permian mass extinction and closes with the extinction that ended the dinosaurs, which is why it is popularly called the Age of Reptiles.

Your Answer : (Not Answered)

Correct Answer : A

The NSSO was established in 1950.

Set up on P.C. Mahalanobis's initiative, it conducts nationwide household surveys on consumption, employment and unemployment, and other socio-economic subjects. It was merged into the National Statistical Office in 2019.

Your Answer : (Not Answered)

Correct Answer : B

The Security Council has ten non-permanent members, elected by the General Assembly for two-year terms, five replaced each year.

They are distributed by region and cannot be re-elected immediately. With the five permanent members the Council has fifteen in all; nine votes carry a decision, subject to the veto.

Your Answer : (Not Answered)

Correct Answer : B

The index is AGRIDEX.

In 2020 the National Commodity and Derivatives Exchange launched futures trading in NCDEX AGRIDEX, India's first agricultural commodity futures index. It tracks the prices of the most liquid farm commodities traded on the exchange, allowing traders to take a position on agricultural prices as a whole rather than on one crop.

AGRODEX, FARMDEX and CROPDEX are plausible-sounding names, but none of them is the name NCDEX gave to the index.