Your Answer : (Not Answered)

Correct Answer : D

The ratio of speeds is 11 : 7. Starting together and meeting after the same time, the trains cover distances in the ratio of their speeds. One covers 110 km and the other 180 - 110 = 70 km, so the ratio is 110 : 70 = 11 : 7. 11 : 9 uses 90 for the other train, 11 : 5 uses 50, and 7 : 13 reverses and changes the figures. Because both trains travel for the same time, their speeds are proportional to the distances travelled. The first train has gone 110 km and the second has gone the remaining 180 - 110 = 70 km; dividing both by 10 gives 11 : 7.

Your Answer : (Not Answered)

Correct Answer : D

At \( 45^{\circ} \) the horizontal distance equals the height, so the tower measured to the man's eye is 100 m.

After 10 seconds the depression is \( 30^{\circ} \):

\[ \tan 30^{\circ} = \frac{100}{d} \quad\Longrightarrow\quad d = 100\sqrt{3} = 173.2 \text{ m} \]

\[ \text{distance covered} = 173.2 - 100 = 73.2 \text{ m} \]

\[ \text{speed} = \frac{73.2}{10} = 7.32 \text{ m/s} = 7.32 \times \frac{18}{5} = 26.35 \approx 26.28 \text{ km/h} \]

Only the difference of the two distances is travelled in those 10 seconds; using 173.2 m outright would assume the boat set off from the tower.

Your Answer : (Not Answered)

Correct Answer : D

A shuttlecock has a rounded cork base and a skirt of feathers that flares outward from it.

The cork nose is a hemisphere. The feather skirt is narrow where it meets the cork and wide at the open end, with both ends circular and neither closing to a point - that is a frustum of a cone.

A full cone would come to a point at the top, and a cylinder would keep the same width all the way up; neither matches the flare.

Your Answer : (Not Answered)

Correct Answer : D

Each half is \( 5\tfrac{1}{4} = 5.25 \) km.

\[ t = \frac{5.25}{3} + \frac{5.25}{7} = 1.75 + 0.75 = 2.5 \text{ hours} \]

That is \( 2\tfrac{1}{2} \) hours, which appears nowhere on the list, so the answer is none of these. The \( 2\tfrac{1}{4} \) offered is close enough to catch a rounded calculation.

Your Answer : (Not Answered)

Correct Answer : C

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

\[ 1 \text{ kmph} = \frac{5}{18} \text{ m/s} \]

\[ \text{relative speed} = 54 + 72 = 126 \text{ kmph} = 35 \text{ m/s} \]

To meet, only the 100 m gap between them has to close:

\[ t = \frac{100}{35} = \frac{20}{7} \text{ sec} \]

Their lengths play no part until they begin to pass each other.

Your Answer : (Not Answered)

Correct Answer : C

When we have question like one is filling the tank and other is empting it, then we subtraction as,

Filled in 1 hour = 1/4

Empties in 1 hour = 1/9

Net filled in 1 hour = 1/4 - 1/9

= 5/36

So cistern will be filled in 36/5 hours i.e. 7.2 hours

Your Answer : (Not Answered)

Correct Answer : A

The water image is (A), the word turned upside down with its letters still in the order T-R-A-N-S-P-A-R-E-N-T.

A water image is a reflection in a horizontal surface below the object, so it flips the word top to bottom only. Left and right are unchanged: the letters stay in the same order, but each one appears upside down.

(B) is the word unchanged, not an image at all. (C) reverses the order of the letters and flips each one left to right, which is what a mirror held at the side would do, not water below. (D) is a mirror image of the same kind with the letter E missing, so it is wrong on two counts.

Your Answer : (Not Answered)

Correct Answer : D

Correct answer: -239/12

Replacing the words by their symbols gives \( 13 \div 12 - 9 \times 3 + 6 \), which is \[ \frac{13}{12} - 27 + 6 = \frac{13}{12} - 21 = \frac{13 - 252}{12} = \mathbf{-\frac{239}{12}} \]

Your Answer : (Not Answered)

Correct Answer : A

It is an example of inertia of rest.

Inertia of rest is the tendency of a body at rest to stay at rest. When the bus starts suddenly, the passenger's feet, in contact with the floor, move forward with the bus, but the upper part of the body tends to remain where it was. So the passenger falls backwards, opposite to the bus's motion.

Inertia of motion is the opposite case: when a moving bus stops suddenly, passengers are thrown forwards. Inertia of direction is shown when a bus turns a corner and passengers lean outwards. 'Force' is not a type of inertia.

Your Answer : (Not Answered)

Correct Answer : A

The dance is the Moni dance.

The Moni (Moniya or Diwari) dance is the Deepawali folk dance of Bundelkhand, performed in Sagar, Chhatarpur, Tikamgarh, Datia and Panna districts of Madhya Pradesh and across the border in Uttar Pradesh. Men, mostly of the Ahir and Yadav communities, dance with peacock feathers from the day of Govardhan Puja until Dev Uthani Ekadashi, to the beat of drums, in memory of Krishna lifting the Govardhan hill.

The other dances named, Mandalya, Fefariya and Danda, are not the Deepawali dance of the Sagar region. I did not look up each of them separately; the choice rests on the Moni dance being the one tied to the festival.

Your Answer : (Not Answered)

Correct Answer : B

The difference lies at the 2nd carbon of the sugar.

RNA contains ribose, which has a hydroxyl group at C-2; DNA contains 2-deoxyribose, which has only a hydrogen there. That missing \(\mathrm{-OH}\) makes DNA far more resistant to hydrolysis, which is why it, and not RNA, stores heredity.

Your Answer : (Not Answered)

Correct Answer : A

The weight of a body is maximum at the poles.

Two effects work together: the earth is flattened at the poles, so the surface is closer to the centre and \(g\) is larger; and there is no centrifugal effect from rotation on the axis. Weight falls by about half a per cent from pole to equator, and falls further with altitude.

Your Answer : (Not Answered)

Correct Answer : C

The Nobel Prize was first awarded in 1901, five years after Alfred Nobel's death, under the terms of his will.

The original prizes were for physics, chemistry, medicine, literature and peace; the economics prize was added by the Swedish central bank in 1969.

Your Answer : (Not Answered)

Correct Answer : C

Kamayani was written by Jaishankar Prasad, published in 1936.

It is an epic poem in Hindi retelling the story of Manu and the flood as an allegory of the human mind, and is regarded as the finest work of the Chhayavad movement.

Your Answer : (Not Answered)

Correct Answer : A

They were established by Nichidatsu Fujii, called Fuji Guru.

The Japanese monk founded the Nipponzan Myohoji order and, after meeting Gandhi in 1931, began building peace pagodas around the world after the bombing of Hiroshima. There are several in India, including at Rajgir, Wardha and Delhi.

Your Answer : (Not Answered)

Correct Answer : B

LIC was established in 1956.

Life insurance was nationalised that year and the business of 245 insurers was transferred to the new corporation. Its monopoly lasted until the sector was reopened to private participation in 2000.

Your Answer : (Not Answered)

Correct Answer : B

National income estimates are prepared by the Central Statistical Organisation.

The CSO, in the Ministry of Statistics and Programme Implementation, has compiled them since 1954, publishing the annual National Accounts Statistics. It is now part of the National Statistical Office.

Your Answer : (Not Answered)

Correct Answer : A

The Malwa plateau lies between them.

It occupies western Madhya Pradesh and south-eastern Rajasthan, bounded by the Aravallis to the north-west and the Vindhyas to the south. Built of Deccan lava, it is drained north by the Chambal and Betwa into the Yamuna.

Your Answer : (Not Answered)

Correct Answer : B

The United States has a federal government - powers divided by a written constitution between the centre and fifty states, each with its own government, and neither able to alter the division alone.

China, Cuba and France are unitary states, where the central government creates and may abolish the subordinate units.

Your Answer : (Not Answered)

Correct Answer : C

The objective is to sensitize government officials to e-governance and IT projects, the option printed as 'To sanitize Government Officials in the implementations of e-governance and information technology projects'.

E-Daksh is the Madhya Pradesh government's capacity-building programme in information technology: training centres where government officers and employees learn to use computers and to implement e-governance projects. Its focus is on preparing officials rather than on building infrastructure. The paper's 'sanitize' is a misprint for 'sensitize'.

Setting up IT infrastructure in every district, providing internet across the state, or giving IT support to officials describe other programmes, not the purpose of E-Daksh.