Your Answer : (Not Answered)

Correct Answer : B

The other number is 99.

For two numbers, the product of the numbers equals the product of their HCF and LCM.

\[ \begin{aligned} 77 \times n &= 11 \times 693 \\ n &= \frac{7623}{77} = 99 \end{aligned} \]

Check: \(77 = 7 \times 11\) and \(99 = 9 \times 11\), so their HCF is 11 and their LCM is \(7 \times 9 \times 11 = 693\). 33 also shares the factor 11 with 77, but its LCM with 77 is 231, not 693. 96 and 89 are not multiples of 11, so they cannot have 11 as a common factor with 77.

Your Answer : (Not Answered)

Correct Answer : B

The original price is Rs 1,500. A 10 per cent rise followed by a 10 per cent fall leaves the price at 1.1 x 0.9 = 0.99 of the original, so the original price is 1485 / 0.99 = 1500. Rs 1,450 would give 1435.5 and Rs 1,550 would give 1534.5; Rs 1,650 is the price after only the 10 per cent rise. The two successive changes are not equal to zero overall, since 10 per cent of a larger number is more than 10 per cent of the original. The net effect is a fall of 1 per cent: 1500 becomes 1650 after the rise and 1485 after the fall, which matches the given latest price.

Your Answer : (Not Answered)

Correct Answer : A

Let the tower be \( h \) m and the observation point \( d \) m away. The bottom of the flagstaff is the top of the tower.

\[ \tan 30^{\circ} = \frac{h}{d} \quad\Longrightarrow\quad d = h\sqrt{3} \]

\[ \tan 45^{\circ} = \frac{h+7}{d} \quad\Longrightarrow\quad h + 7 = d = h\sqrt{3} \]

\[ h(\sqrt{3} - 1) = 7 \quad\Longrightarrow\quad h = \frac{7}{\sqrt{3}-1} = \frac{7(\sqrt{3}+1)}{2} \]

\[ h = 3.5 \times 2.732 = 9.562 \text{ m} \]

Both sightings share the same \( d \), which is what allows one to be substituted into the other.

Your Answer : (Not Answered)

Correct Answer : B

The balloon rises vertically above \( A \), so its height is the opposite side of a right triangle with base 150 m.

\[ h = 150\tan 60^{\circ} = 150\sqrt{3} = 150 \times 1.732 = 259.8 \text{ m} \]

Two minutes is 120 seconds:

\[ v = \frac{259.8}{120} = 2.165 \approx 2.16 \text{ m/s} \]

Converting the 2 minutes to seconds before dividing is the step most often skipped; leaving it in minutes gives 129.9, which matches no option.

Your Answer : (Not Answered)

Correct Answer : A

Group in pairs and factor each.

\[ cx + cy - dx - dy = c(x + y) - d(x + y) \]

\[ = (c - d)(x + y) \]

Taking out \( -d \) from the second pair turns \( -dx - dy \) into \( -d(x+y) \), matching the first bracket.

Your Answer : (Not Answered)

Correct Answer : E

Correct answer: P, Q

Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix P; W is three to P’s left and Q three to P’s right. Trying each seat for T with S two to T’s right, only one choice keeps T away from Q, and of the two ways of then placing R and V, only one keeps U away from both T and W. Clockwise the table reads P → T → R → W → V → Q → U → S.

In W–T, P–U, S–Q and R–P the second person named sits second to the left of the first, two seats clockwise. P and Q are three seats apart, so that pair breaks the pattern.

Your Answer : (Not Answered)

Correct Answer : D

Correct answer: stand there and wait for the owner.

Someone who has just dropped a purse usually returns for it within minutes. Waiting where you found it is the likeliest way of restoring it to her, and the money stays safe meanwhile.

Your Answer : (Not Answered)

Correct Answer : A

Correct answer: Both A and R are true and R is the correct explanation of A.

Tamil Nadu receives most of its rain between October and December, when the retreating monsoon winds blow from the north-east across the Bay of Bengal and pick up moisture before striking the Coromandel coast. Both are true and R explains A.

Your Answer : (Not Answered)

Correct Answer : C

The given information can be analyzed as under:

Nisha is good in Physics, History and Mathematics but not in Computer Science.

Your Answer : (Not Answered)

Correct Answer : D

Correct answer: Cannot be determined

Six people and two couples: D is B’s mother and C is B’s wife, so B and C are one couple. F is C’s daughter and E’s granddaughter, so E must be a parent of B or C - and since D is B’s mother, D and E are the other couple. A, being D’s grandchild, can only be the second child of B and C.

So the family is D and E, their son B with his wife C, and their two children A and F.

E and B are men and D, C and F women - F being described as a granddaughter. Nothing in the statements tells us whether A is a boy or a girl, so the count is either three or four and cannot be determined.

Your Answer : (Not Answered)

Correct Answer : B

The best definition is that science involves systematic inquiry to understand natural phenomena, while technology applies this knowledge for practical benefits.

Science seeks to explain how the natural world works, through observation, experiment and theory. Technology uses that understanding to design tools, processes and systems that solve practical problems. The two feed each other: scientific discoveries make new technologies possible, and new instruments make new science possible.

The other options are too narrow or plainly wrong. Science is not only theoretical, and technology is far wider than manufacturing. The two are closely related and shape everyday life. Technology without any reliance on scientific principles describes trial-and-error craft, not modern technology.

Your Answer : (Not Answered)

Correct Answer : B

Article 39A directs the state to secure equal justice and free legal aid.

It was inserted by the 42nd Amendment in 1976 and requires that opportunities for justice not be denied to any citizen by reason of economic or other disability. It is the basis of the Legal Services Authorities Act, 1987 and of the Lok Adalats.

Your Answer : (Not Answered)

Correct Answer : C

Article 22 gives protection against arrest and detention in certain cases.

Clauses (1) and (2) require an arrested person to be told the grounds, allowed a lawyer of choice, and produced before a magistrate within twenty-four hours. Clauses (4) to (7) lay down the safeguards for preventive detention, including review by an advisory board.

Your Answer : (Not Answered)

Correct Answer : C

They solidified into igneous rocks.

Rock formed directly from cooling magma or lava is igneous, the name coming from ignis, fire. Granite is the intrusive kind, cooled slowly at depth into coarse crystals, and basalt the extrusive kind, cooled quickly at the surface into fine ones - so both are particular igneous rocks, while the general answer is the class itself.

Your Answer : (Not Answered)

Correct Answer : C

Displacement is the shortest distance covered in a definite direction.

It is the straight-line vector from start to finish, so it has both magnitude and direction, and can be zero even after a long journey if the body returns to where it began. Distance is the scalar length of the actual path and can only increase.

Your Answer : (Not Answered)

Correct Answer : A

Lalita Babar qualified for the final of the 3000 m steeplechase at Rio in 2016, finishing fourth in her heat in a national record of 9:19.76.

She was the first Indian woman to reach an Olympic track final since P.T. Usha in 1984, and finished tenth.

Your Answer : (Not Answered)

Correct Answer : C

Quinine is obtained from the bark of the cinchona tree.

It was the first effective treatment for malaria, in use from the seventeenth century. Papaver is the opium poppy and Aconitum the source of aconite.

Your Answer : (Not Answered)

Correct Answer : A

The Golden Panda Award is the top conservation award.

Instituted by the World Wide Fund for Nature, whose emblem is the giant panda, it is the organisation's highest honour for contribution to the conservation of nature.

Your Answer : (Not Answered)

Correct Answer : D

U Thant was the first recipient.

The Jawaharlal Nehru Award for International Understanding was instituted in 1965, and the Burmese diplomat, then Secretary-General of the United Nations, received it that year.

Your Answer : (Not Answered)

Correct Answer : C