Your Answer : (Not Answered)

Correct Answer : A

The hour hand moves \( 0.5^{\circ} \) a minute and the minute hand \( 6^{\circ} \), so at \( H \) hours \( M \) minutes the angle between them is

\[ \theta = \left| 30H - 5.5M \right| \]

A right angle means \( \theta = 90 \), with \( H = 9 \):

\[ \left| 270 - 5.5M \right| = 90 \]

\[ 5.5M = 180 \quad\text{or}\quad 5.5M = 360 \]

\[ M = \frac{360}{11} = 32\tfrac{8}{11} \quad\text{or}\quad M = 65\tfrac{5}{11} \text{ (past the hour)} \]

So the first right angle after 9 am comes at \( 32\tfrac{8}{11} \) minutes past 9.

Your Answer : (Not Answered)

Correct Answer : D

\[ A = \frac{\sqrt{3}}{4}a^{2} = \frac{\sqrt{3}}{4} \times 16^{2} \]

\[ = \frac{\sqrt{3}}{4} \times 256 = 64\sqrt{3} \text{ cm}^{2} \]

The side is squared, so doubling it would quadruple the area.

Your Answer : (Not Answered)

Correct Answer : A

B is E's Sister-in-Law.

C is a sister of D, so C and D are siblings. A is the father of C, and D is the son of B, so B is the other parent of the same children: B is A's wife, C and D's mother.

E is the brother of A. The wife of one's brother is one's sister-in-law, so B is E's sister-in-law.

B cannot be E's brother or brother-in-law, because as the children's mother B is female, and B is not E's sister, since B is related to E only by marriage.

Your Answer : (Not Answered)

Correct Answer : C

The number to change is 6.

In the Fibonacci series each term is the sum of the two before it: 1, 1, 2, 3, 5, 8, 13, 21, ... Here the fifth term should be \(2 + 3 = 5\), not 6.

With 5 in place, every later term checks: \(3 + 5 = 8\), \(5 + 8 = 13\), \(8 + 13 = 21\). So 8, 13 and 21 are all correct as printed; it is only the 6 that breaks the rule.

Your Answer : (Not Answered)

Correct Answer : B

Correct answer: 105

Every gap is the same: the differences run 23, 23, 23, so the common difference is 23. Applying it once more to the final term, 82 + 23 gives 105. As a check, subtracting 23 from the answer returns 82, the term before it, and repeating that recovers the whole series. A series with only three terms shown can rarely be pinned down, which is why four or five are usually given.

Your Answer : (Not Answered)

Correct Answer : A

Correct answer: 32

Replace each symbol by the operation it means: \( + \to - \), \( \div \to + \), \( \lt \to \times \), \( \gt \to \div \). The expression \( 9 \div 7 \lt 8 \gt (4 \gt 2) + 5 \) therefore reads \( 9 + 7 \times 8 \div (4 \div 2) - 5 \).

Working the bracket first, then BODMAS: \[ 9 + 7 \times 8 \div 2 - 5 = 9 + 28 - 5 = \mathbf{32} \]

Your Answer : (Not Answered)

Correct Answer : D

Wife’s brother-Brother-in-law. Son of lady’s brother is the brother-in-law of the man. So, lady’s brother is man’s father –in-law i.e. the lady is the sister of man’s father-in-law.

Your Answer : (Not Answered)

Correct Answer : A

The error is in I am hearing.

Hear is a verb of involuntary perception and is not normally used in the continuous. The sentence needs I hear, or I have been hearing if repetition is meant.

Your Answer : (Not Answered)

Correct Answer : B

The exclamatory sentence is How foolish of me to ask for money!

An assertive sentence with 'very' + adjective becomes exclamatory by putting How before the adjective and ending with an exclamation mark: 'It is very foolish of me' becomes 'How foolish of me'. The meaning stays exactly the same.

'I was a fool to ask for money!' changes the tense and the wording. 'Oh! Why did I ask for money!' turns the statement into a question of regret. 'I asked for money!' drops the idea of foolishness altogether.

Your Answer : (Not Answered)

Correct Answer : D

The word that can replace the underlined segment 'a scientist who specialises in insects' is 'entomologist'. An entomologist is a scientist who studies insects, which is just what the underlined words describe.

An endocrinologist studies the glands and hormones, an orthopaedic doctor deals with bones and joints (the adjective orthopaedic is also not a noun for a person), and a urologist deals with the urinary system. None of them studies insects, so the fourth option is correct.

Your Answer : (Not Answered)

Correct Answer : A

It is cheap.

Cheap means low in price. Cheep is the sound a young bird makes, and the two are pronounced alike.

Your Answer : (Not Answered)

Correct Answer : D

The keyed answer is Cordial relations of Rajputs and Mughals.

Rajput rulers had built their capitals on hilltops because they needed fortified refuges against attack. Once most of them entered into alliances with the Mughals from Akbar's time, that threat receded, and they began to build palaces and planned cities on open ground in the plains. Sawai Jai Singh's move from the hill fort of Amber to the new city of Jaipur in 1727 is the classic example.

Architectural advancement and modernisation describe what the new cities looked like, and Mughal influence shows in their style, but the key takes the political condition that made the move safe, the cordial Rajput-Mughal relationship, as the defining feature of the period.

Your Answer : (Not Answered)

Correct Answer : B

The key gives Marathi.

The question sits among Madhya Pradesh items, and the press history of the state lists Purn Chandrodaya as a weekly published from Indore from 1860 in Marathi, said to be the first newspaper in the state in that language. That is what the key follows. I found this only in preparation notes and a college handout on the journalism of Madhya Pradesh, not in a primary or scholarly source, so treat the details as secondary.

One caution: a Bengali paper of nearly the same name, Sambad Purnachandrodaya, was published from Calcutta from 1835. If the question meant that paper the answer would be Bengali, but the Madhya Pradesh setting points to the Indore weekly. Nothing I found links the name to Hindi or Rajasthani.

Your Answer : (Not Answered)

Correct Answer : C

Both Statement 1 and Statement 2 are false.

Under the Protection of Human Rights Act, 1993, the chairperson and members of a State Human Rights Commission are appointed by the Governor, on the recommendation of a committee headed by the Chief Minister. The Chief Minister recommends; he does not appoint. So Statement 1 is false.

Although the Governor appoints them, they can be removed only by the President, on the grounds and by the procedure in the Act. So Statement 2 is false as well, which rules out every option that calls either statement true.

Your Answer : (Not Answered)

Correct Answer : D

Darwin set out his theory in On the Origin of Species, published on 24 November 1859.

The whole print run of 1,250 copies sold on the first day. 'Survival of the fittest' was Herbert Spencer's phrase, which Darwin adopted only in the fifth edition.

Your Answer : (Not Answered)

Correct Answer : D

Metallic lustre is due to the free electrons in the metal.

The delocalised electrons of the metallic bond absorb light of all visible wavelengths and re-emit it immediately, so the surface reflects nearly all the light that falls on it. The same sea of electrons accounts for metals' electrical and thermal conductivity.

Your Answer : (Not Answered)

Correct Answer : D

A BJT has three terminals.

They are the emitter, base and collector. A small base current controls a much larger collector current, and the ratio of the two is the transistor's current gain.

Your Answer : (Not Answered)

Correct Answer : B

The International Day of Persons with Disabilities falls on 3 December.

The UN proclaimed it in 1992, at the end of the Decade of Disabled Persons. It promotes the rights and well-being of the roughly one billion people living with a disability.

Your Answer : (Not Answered)

Correct Answer : C

It gives GNP, the gross national product.

\[GNP = GDP + \text{net factor income from abroad}\] GDP measures what is produced within the country's borders; GNP measures what is earned by its residents, wherever the factors are employed. For a country with large remittances, GNP exceeds GDP.

Your Answer : (Not Answered)

Correct Answer : B

The institute is Punjab Agricultural University.

Punjab Agricultural University, Ludhiana, developed Bt cotton varieties carrying the insect-resistance gene, such as PAU Bt 1, among the first genetically modified cotton varieties bred by a public-sector institution in India, where Bt cotton had until then come almost entirely as private-sector hybrids.

G.B. Pant University, Tamil Nadu Agricultural University and IARI work on cotton and on biotechnology, but the genetically modified cotton varieties the question refers to are PAU's.