Your Answer : (Not Answered)

Correct Answer : C

Angle B is 40°.

Since AB = AC, the triangle is isosceles and the base angles B and C are equal. The angles of a triangle sum to 180°:

\[ \begin{aligned} \angle B + \angle C &= 180^{\circ} - 100^{\circ} = 80^{\circ} \\ \angle B &= \frac{80^{\circ}}{2} = 40^{\circ} \end{aligned} \]

50° comes from halving 100° instead of the remaining 80°, and 60° and 45° would not give a total of 180° with equal base angles.

Your Answer : (Not Answered)

Correct Answer : B

At 8 o’ clock, the hour hand is at 240 degrees from the vertical.
In 30 minutes,
Hour hand = 240 + 30 x (0.5) = 240 + 15 = 255 (The hour hand moves at 0.5 dpm)
Minute hand = 30 x (6) = 180 (The minute hand moves at 6 dpm)
Difference or angle between the hands = 255 - 180 = 75 degrees

Your Answer : (Not Answered)

Correct Answer : C

Total increase in weight \(= 8 \times 2.5 = 20\)
If \(x\) is the weight of the new person, total increase in weight \(= x-65\)
\(\Rightarrow 20 = x - 65\\ \Rightarrow x = 20 + 65 = 85\)

Your Answer : (Not Answered)

Correct Answer : E

The Director asserts that computerization is essential to maintain the present state of affairs in future. This means that the Institute will lag behind in the absence of computerisation. This in turn implies that the functions of the Institute are too cumbersome and time-consuming and can be handled in time only through computers. So, both I and II are implicit.

Your Answer : (Not Answered)

Correct Answer : A

Correct answer: Aircraft

The relation is attendant : where she serves. A receptionist serves in an office; an air hostess serves aboard an aircraft. The crew are her colleagues and the airport is where the flight begins.

Your Answer : (Not Answered)

Correct Answer : D

Correct answer: Editor

The relation is enterprise : the one who presides over it. A conference is presided over by its chairman; a newspaper by its editor, who decides what it prints. Reporters write for it and printers produce it, but neither is in charge.

Your Answer : (Not Answered)

Correct Answer : A

S is C's uncle's sister. The sister of C's mother is C's maternal aunt, and the husband of that aunt is C's uncle. S is the sister of that uncle, so S is a woman who stands to C as the uncle's sister.

The chain can be written as mother's sister, then her husband, then his sister, which gives uncle's sister. The option "Sister's uncle" turns the relation around, since C is not S's sibling's relative in that way. "Uncle" is wrong because S is a woman. "Sister" is wrong because S is not a daughter of C's parents; she belongs to the uncle's family.

Your Answer : (Not Answered)

Correct Answer : D

Correct answer: Maternal Uncle

The father of my brother is Bajpai’s own father; that man’s only daughter is Bajpai’s sister; and her son is Bajpai’s nephew. Since the link runs through Bajpai’s sister, he is the young man’s maternal uncle.

Your Answer : (Not Answered)

Correct Answer : C

It was created in September, 2001.

The Department of Development of North Eastern Region (DoNER) was set up by the Government of India in September 2001 to coordinate development work in the eight north-eastern states. It was raised to a full Ministry of Development of North Eastern Region in May 2004.

June 2004 is the near miss: it falls just after the upgrade to a ministry, not at the creation of the body. October 1999 and September 2000 are before it existed.

Your Answer : (Not Answered)

Correct Answer : D

The Cabinet Secretary ranks Eleventh in the table of precedence.

The Warrant of Precedence issued by the President's Secretariat places the Cabinet Secretary at article 11, alongside officers such as the Attorney General, Chief Election Commissioner, Comptroller and Auditor General and the Chiefs of Staff holding the rank of General or equivalent.

Ninth and Tenth belong to constitutional and judicial office holders above them, such as judges of the Supreme Court and the Chairpersons of the UPSC and other bodies, and Twelfth to officers below. The Cabinet Secretary is the senior-most civil servant but does not rank above them.

Your Answer : (Not Answered)

Correct Answer : A

August Weismann challenged Lamarck's theory of the inheritance of acquired characters.

His germ plasm theory held that the reproductive cells are set apart early and unaffected by what happens to the body. He cut the tails off mice for twenty-two generations, and every litter was born with a full tail.

Your Answer : (Not Answered)

Correct Answer : B

He must point at a higher elevation than the bird.

The bullet begins to fall under gravity the moment it leaves the barrel, so it follows a parabola and drops below the line of sight. Aiming slightly high compensates for that fall over the flight time - which is why rifle sights are zeroed for a particular range.

Your Answer : (Not Answered)

Correct Answer : B

It is Salt Lake Stadium.

Vivekananda Yuba Bharati Krirangan at Kolkata opened in 1984 with a capacity of about 120,000, reduced to about 85,000 in the 2011 renovation when seats replaced benches. It remains India's largest football stadium.

Your Answer : (Not Answered)

Correct Answer : C

Algernon Sidney wrote 'God helps those who help themselves'.

It appears in his Discourses Concerning Government, published in 1698 after his execution for treason. Benjamin Franklin later made it familiar through Poor Richard's Almanack.

Your Answer : (Not Answered)

Correct Answer : A

Dr Joon Lew is known for work on the eradication of leprosy.

The Korean physician devoted his career to leprosy research and to the rehabilitation of patients, and received the International Gandhi Award for it.

Your Answer : (Not Answered)

Correct Answer : A

The BSF is headquartered at New Delhi.

The Border Security Force, raised in 1965, guards India's borders with Pakistan and Bangladesh and is the largest border guarding force in the world.

Your Answer : (Not Answered)

Correct Answer : C

The main feature is the vimana.

In the Dravida style the tower rises over the sanctum in receding storeys to a domed finial, unlike the curving northern shikhara. The gopurams over the gateways came later and grew taller than the vimana itself.

Your Answer : (Not Answered)

Correct Answer : D

It was Jayadeva.

The Gita Govinda, written in Sanskrit in twelfth-century Bengal at the court of Lakshmanasena, sings of Radha and Krishna in twenty-four ashtapadis set to raga and tala. It is sung daily at the Jagannath temple at Puri.

Your Answer : (Not Answered)

Correct Answer : B

Nandalal Bose was entrusted with illuminating the original manuscript of the Constitution.

He and his students at Santiniketan decorated each of the twenty-two parts with a panel drawn from Indian history - the Indus seals, the Ramayana, Ashoka, Akbar, Gandhi's Dandi march. Prem Behari Narain Raizada wrote out the text in italic hand.

Your Answer : (Not Answered)

Correct Answer : C

The integral equals 2.

Since \(sin2x = 2 sinx cosx\), the denominator is \(\sqrt{sin^{2}x + cos^{2}x + 2sinx cosx} = |sinx + cosx|\), and on \([0, \pi/2]\) both functions are non-negative, so it is simply sinx + cosx.

\[ \begin{aligned} I &= \int_{0}^{\pi/2} (sinx + cosx)\, dx \\ &= \big[-cosx + sinx\big]_{0}^{\pi/2} \\ &= (0 + 1) - (-1 + 0) = 2 \end{aligned} \]

1 is the value of either half of the integral alone, and 0 comes from a sign slip, taking the antiderivative of sinx as +cosx so the two parts cancel.