Your Answer : (Not Answered)

Correct Answer : A

The area of the circle is 154 square centimetre.

The rectangle's perimeter is \(2(14 + 8) = 44\) cm, which equals the circle's circumference:

\[ \begin{aligned} 2 \pi r &= 44 \\ r &= \frac{44 \times 7}{2 \times 22} = 7 \\ \pi r^{2} &= \frac{22}{7} \times 49 = 154 \end{aligned} \]

308 is twice the area, 77 is half of it, and 112 is the area of the rectangle (14 × 8), not of the circle.

Your Answer : (Not Answered)

Correct Answer : C

A harmonic progression is defined as a sequence whose reciprocals form an arithmetic progression.

\[ a, b, c \text{ in H.P.} \iff \frac{1}{a}, \frac{1}{b}, \frac{1}{c} \text{ in A.P.} \]

This is why H.P. problems are almost always solved by inverting first.

Your Answer : (Not Answered)

Correct Answer : D

A linear accelerator drives particles forward with oscillating electric fields, and an electric field can only exert force on something carrying charge.

\[ F = qE \]

So only charged particles - electrons, protons, ions - can be accelerated. A neutral particle has \( q = 0 \) and feels no force at all.

Your Answer : (Not Answered)

Correct Answer : C

Written as position numbers, three of the groups move the same way:

• K(11), M(13), N(14), L(12): \( +2,\; +1,\; -2 \)
• P(16), R(18), S(19), Q(17): \( +2,\; +1,\; -2 \)
• J(10), L(12), M(13), K(11): \( +2,\; +1,\; -2 \)
• V(22), W(23), Y(25), Z(26): \( +1,\; +2,\; +1 \)

VWYZ is the exception. The other three also share a neat property: the fourth letter sits immediately after the first, which VWYZ does not.

Your Answer : (Not Answered)

Correct Answer : A

\[ A = a^{2} = 15^{2} = 225 \text{ m}^{2} \]

The perimeter would be \( 4 \times 15 = 60 \) m - a different quantity with different units, and worth keeping distinct from the area.

Your Answer : (Not Answered)

Correct Answer : D

Correct answer: SRQP

The sentence reads:

Illnesses were attributed to evil or angry spirits or gods, and rituals of prayers and sacrifice were sometimes held to appease them.

S opens the main clause and R completes it while introducing the second subject with and rituals. Q qualifies those rituals and P supplies their verb.

Your Answer : (Not Answered)

Correct Answer : B

Correct answer: 4, 3, 2, 6, 5, 1

The letters are T I R B H G, and taken in that order they spell BRIGHT.

Read the option as a set of positions: 4 = B 3 = R 2 = I 6 = G 5 = H 1 = T.

None of the other three orders produces an English word, so checking each against the letter list is quicker than trying to build the word from scratch.

Your Answer : (Not Answered)

Correct Answer : A

Correct answer: Dinesh asked Eliza whether she was going to the party the next day

The vocative Eliza becomes the object of asked, so the person addressed is named once rather than twice. You then becomes she, are going becomes was going, and tomorrow becomes the next day.

Your Answer : (Not Answered)

Correct Answer : B

Correct answer: Diarrhoea

The correct British spelling is diarrhoea - a double r, an h after it, and the vowel pair oe at the end. It comes from the Greek diarrhoia, from dia, through, and rhein, to flow - the same rh as in rhythm, rheumatism and haemorrhage. The oe is a Greek diphthong that British English preserves and American English simplifies to a plain e, giving diarrhea. The same split runs through the medical vocabulary: oesophagus and esophagus, foetus and fetus, anaemia and anemia, paediatric and pediatric. Indian examinations follow the British forms. The doubled r with a following h also appears in haemorrhage, catarrh and myrrh, all of them Greek in origin.

Your Answer : (Not Answered)

Correct Answer : A

The correct order is 2-4-3-1. Sentence 2 sets the scene with the narrator walking out with the family at night. Sentence 4 introduces the other families on the road to Lahore railway station. Sentence 3 speaks of 'they' and 'that train to Amritsar', which depends on the families and the station mentioned in sentence 4. Sentence 1 closes the paragraph by returning to the narrator's own small load on the way to a new nation. The other orders put 'they' or 'others' before the people are introduced.

Your Answer : (Not Answered)

Correct Answer : A

It is right.

Right away means immediately. To write is to set down in words, and its w is silent, so the two sound the same.

Your Answer : (Not Answered)

Correct Answer : D

Sound travels fastest in humid air at 30 degree centigrade.

Two effects raise the speed of sound in air. It increases with temperature, by about 0.6 m/s for every degree Celsius, because the molecules move faster. And it increases with humidity, because water vapour (molecular mass 18) is lighter than the nitrogen and oxygen it replaces, so humid air is less dense.

\[ v \approx 331 + 0.6\,T \ \text{m/s} \]

So the warmest and most humid air wins. Dry air at 0 degrees is the slowest of the four, and humid air at 0 degrees or dry air at 30 degrees each has only one of the two advantages.

Your Answer : (Not Answered)

Correct Answer : A

It is the Mongolian tugrik.

The tugrik was introduced in 1925, replacing a mixture of Chinese and Russian money and even tea bricks. The word means circle or disc.

Your Answer : (Not Answered)

Correct Answer : A

PAS - para-aminosalicylic acid - is used against tuberculosis.

Introduced in 1946, it was one of the first effective antitubercular drugs and was given with streptomycin and isoniazid to prevent resistance. It is now a second-line agent, reserved for multidrug-resistant disease.

Your Answer : (Not Answered)

Correct Answer : A

The observer on the ground sees a parabola.

The coin leaves the boy's hand already sharing the train's horizontal velocity, which stays constant, while gravity gives it a uniform downward acceleration. Constant horizontal velocity with uniform vertical acceleration traces a parabola. To the boy in the train it falls straight down.

Your Answer : (Not Answered)

Correct Answer : A

It is the Tawang monastery.

Tawang Gompa in Arunachal Pradesh, founded in the 1680s, is the largest monastery in India and the second largest in the world after Lhasa's Potala. It houses several hundred monks and an 8 m gilded Buddha.

Your Answer : (Not Answered)

Correct Answer : D

White Cane Safety Day, also called World Blind Day, is observed on 15 October.

The white cane is the recognised symbol of blindness and the tool by which a blind person navigates independently. World Sight Day, a separate observance, falls on the second Thursday of October.

Your Answer : (Not Answered)

Correct Answer : D

Shale is a sedimentary rock, formed from compacted mud and clay.

The others are all metamorphic: slate is altered shale, quartzite altered sandstone, and schist a more strongly recrystallised rock formed under greater heat and pressure.

Your Answer : (Not Answered)

Correct Answer : D

Correct answer: The Pyrenees

The Pyrenees run for about 430 km between the Bay of Biscay and the Mediterranean, forming the border between France and Spain and effectively separating the Iberian Peninsula from the rest of Europe. They are high and continuous, with few easy passes, which is why Iberia developed with a degree of cultural and historical separateness. The tiny principality of Andorra lies within them, on the border itself. The Alps are the larger range further east, curving through France, Switzerland, Italy, Austria and Slovenia, and containing Mont Blanc. The Apennines form the spine of Italy, and the Carpathians arc through Central and Eastern Europe, chiefly Romania. Mountains make convenient political borders precisely because they are hard to cross, which is why so many national boundaries follow watersheds.

Your Answer : (Not Answered)

Correct Answer : B

Correct answer: The United States

The United States Constitution, framed in 1787 and in force from 1789, is generally regarded as the first written constitution of a modern nation state. Its influence on the Indian Constitution is considerable: the Fundamental Rights, judicial review, the independence of the judiciary, the office of Vice President, and the procedures for impeaching the President and removing judges all derive from it. It is also notably brief - seven articles and twenty-seven amendments - where India’s is the longest in the world. Britain is the standard contrast, having an unwritten or uncodified constitution: its rules are spread across statutes, conventions and judicial decisions rather than a single document, and Parliament is sovereign, so no court can strike down its legislation. India took the parliamentary system from Britain but rejected that last feature. France’s first constitution followed in 1791, and Switzerland’s federal constitution dates from 1848.