Your Answer : (Not Answered)

Correct Answer : C

The value is 20.

Factorise: \(96 = 2^{5} \times 3\), \(120 = 2^{3} \times 3 \times 5\), \(160 = 2^{5} \times 5\). The LCM takes the highest power of each prime:

\[ \text{LCM} = 2^{5} \times 3 \times 5 = 480 \]

For the HCF, \(72 = 2^{3} \times 3^{2}\) and \(168 = 2^{3} \times 3 \times 7\), and the common part is

\[ \text{HCF} = 2^{3} \times 3 = 24 \]

\[ 480 \div 24 = 20 \]

Option 1 (12) would be 480 divided by 40 and option 4 (30) is 480 divided by 16, the results of mistaken HCFs.

Your Answer : (Not Answered)

Correct Answer : B

"By 22.5 m or 6 seconds" means B takes 6 seconds over that last 22.5 m.

\[ v_{B} = \frac{22.5}{6} = 3.75 \text{ m/s} \]

\[ t_{B} = \frac{300}{3.75} = 80 \text{ s} \]

A's time would be \( 80 - 6 = 74 \) seconds, but the question asks for B's.

Your Answer : (Not Answered)

Correct Answer : A

Input : youtube cartoon batman 58 86 72 dog 48
Step I : 48 youtube cartoon batman 58 86 72 dog
Step II : 48 youtube 58 cartoon batman 86 72 dog
Step III : 48 youtube 58 dog cartoon batman 86 72 
Step IV : 48 youtube 58 dog cartoon batman 72 86

Your Answer : (Not Answered)

Correct Answer : C

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

The words run in order of the chain from pasture to dairy product: Cow → Grass → Milk → Curd → Butter.

Your Answer : (Not Answered)

Correct Answer : B

Correct answer: 3, 9, 4, 2, 10, 6, 8, 7, 5, 1

The words run in order of the parts of the body from the top downwards: Skull → Face → Neck → Shoulder → Hand → Chest → Stomach → Thigh → Knee → Heel.

Your Answer : (Not Answered)

Correct Answer : B

B is C's maternal uncle.

A's mother is B's sister, and C is her daughter. So C is the daughter of B's sister, and B is the brother of C's mother, which makes B C's maternal uncle (the question treats B as male).

B cannot be C's father, since C's mother is B's sister. 'Uncle' alone is less precise than 'maternal uncle', which names the mother's side, and 'daughter' is not a relation B can have to C here.

Your Answer : (Not Answered)

Correct Answer : C

Correct answer: R

Both P and Q lead to R, and \( P \lor Q \) guarantees that one of them holds, so R follows in either case. This is the constructive dilemma with the same conclusion on both branches, which collapses it to a proof of R. Neither P nor Q individually can be concluded, since the premises do not say which of them is true.

Your Answer : (Not Answered)

Correct Answer : A

P @ Q → P is the wife of Q ...(1)

Q $ T → Q is the brother of T ...(2)

T # U → T is the daughter of U

Hence, → Q is the son of U ...(3)

U * W → U is the father of W.

From (1) and (3), U is the father-in-law of P.

Your Answer : (Not Answered)

Correct Answer : D

Skepticism is the belief that nothing is final and permanent, that alternatives are available and that there is always scope for innovation and finding something new, option D.

Unbiased attitude, appeal to simplicity and preference for scientific explanation describe other qualities.

Skepticism in education is the habit of questioning and not accepting a claim as final. The key defines it as the belief that nothing is final and permanent and there is always scope for new ideas. An unbiased attitude is objectivity, and the preference for scientific explanation is the scientific outlook.

Your Answer : (Not Answered)

Correct Answer : D

The one that is not a tier is Zila Samities.

Rajasthan, which launched Panchayati Raj at Nagaur on 2 October 1959, has three tiers: the Gram Panchayat at the village level, the Panchayat Samiti at the block level and the Zila Parishad at the district level.

'Zila Samiti' mixes the name of the block body with the district level; no institution of that name exists in the three-tier structure.

Your Answer : (Not Answered)

Correct Answer : A

The key gives Gwalior.

Gwalior, Morena, Guna and Datiya are neighbouring districts of northern Madhya Pradesh, so the options are all plausible places for a regional fair, and the key names Gwalior.

I could not find any source naming the Hira Bhoomiya fair or saying where it is held, so I could not confirm the location or tell which district is meant, and nothing found shows the key wrong. The answer rests only on the Commission's key and is kept as printed.

Your Answer : (Not Answered)

Correct Answer : C

The fuse is a safety device.

It is a short length of wire of low melting point in series with the circuit. If the current exceeds the rated value, the heat \(I^2Rt\) melts the wire and breaks the circuit before the wiring can overheat and start a fire.

Your Answer : (Not Answered)

Correct Answer : B

An amalgam is an alloy that contains mercury as one of its constituents.

Mercury dissolves most metals at room temperature; the resulting paste can be worked and then hardens as the mercury combines. Dental amalgam is mercury with silver, tin and copper.

Your Answer : (Not Answered)

Correct Answer : C

Valentine's Day is celebrated on 14 February.

It is named after Saint Valentine, a Roman priest martyred in the third century. Its association with romantic love dates from Chaucer's time in the fourteenth century.

Your Answer : (Not Answered)

Correct Answer : D

It was Mario Puzo.

The Godfather, published in 1969, sold over nine million copies in two years. Puzo then co-wrote the screenplay with Coppola and won Academy Awards for the first two films.

Your Answer : (Not Answered)

Correct Answer : C

The largest dry dock is at Mormugao.

A dry dock is a basin that can be drained so that a ship's hull can be worked on. Mormugao in Goa is chiefly an ore-exporting port and holds one of the country's largest such facilities.

Your Answer : (Not Answered)

Correct Answer : B

Correct answer: Milk

India is the world’s largest producer of milk, accounting for over a fifth of global output, and has held that position since the 1990s. The transformation came with Operation Flood, launched in 1970 under Verghese Kurien and often called the White Revolution, which organised village dairy cooperatives on the Amul model in Gujarat and linked them to urban markets. It turned a milk-deficient country into the largest producer within two decades. India is also the largest producer of pulses, jute, spices, bananas and mangoes, and the second largest of rice, wheat, sugarcane, cotton and groundnut - second to China in most of those. It is the second largest producer of wheat, not the first. Brazil leads in coffee, and Thailand and Indonesia in natural rubber.

Your Answer : (Not Answered)

Correct Answer : D

Correct answer: Divergent

The Mid-Atlantic Ridge is a divergent boundary: two plates are pulling apart, and magma rising into the gap solidifies as new oceanic crust. The process is seafloor spreading, and it is widening the Atlantic by a few centimetres a year. The decisive evidence for it was magnetic. As new basalt cools it locks in the direction of the Earth’s magnetic field, and because that field reverses at irregular intervals the seafloor carries symmetrical stripes of alternating polarity on either side of the ridge - a tape recording of spreading, and the observation that settled the plate tectonic argument in the 1960s. Iceland sits astride the ridge, which is why it is volcanically so active and why the boundary can be walked on there. Convergent boundaries are where plates collide, transform boundaries where they slide past each other as at the San Andreas Fault, and a passive margin is not a plate boundary at all but the quiet junction of continent and ocean within a single plate.

Your Answer : (Not Answered)

Correct Answer : C

The progressive wave theory of tides was put forward by William Whewell in 1833. He treated the tide as a single wave generated in the Southern Ocean that travels northward into the other oceans.

G. B. Airy later proposed the competing stationary or standing wave theory, and Newton had earlier given the equilibrium theory based on gravitation.

Your Answer : (Not Answered)

Correct Answer : D

SIDBI was established in 1989.

Set up by an Act of Parliament, it began operations in April 1990 as the principal institution for the promotion, financing and development of small-scale industry, initially as a subsidiary of IDBI.