Volume of a cylinder = πr²h = π * 5² * 2 = 50π m³.

The relative speed = 60 km/hr – 40 km/hr = 20 km/hr = 20 * (1000/3600) m/s = 5.56 m/s. Let the length of the first train be L meters. Then, the second train’s length is L/2 meters. The total distance covered in overtaking = L + (L/2) = 1.5L meters. Time taken = 30 seconds. So, 1.5L = 5.56 * 30, giving L ≈ 200 meters.

The first two and last two letters of ‘RIVER’ are reversed. Applying the same rule, ‘OCEAN’ becomes ‘COEAN’.

If the cost price is ₹100, the marked price is ₹120. A 10% discount on ₹120 is ₹12, so the selling price is ₹108. The gain is ₹108 – ₹100 = ₹8, which is an 8% gain.

Since PQ = QR, ΔPQR is isosceles. The angles opposite the equal sides are equal, so ∠QRP = ∠QPR. Let each of these angles be x. Then, x + x + 100° = 180° (sum of angles in a triangle). Solving gives x = 40°.

Both the assertion and the reason are true. However, the reason R is not the correct explanation of A. While a passport is necessary for international travel, it being proof of nationality is not the reason for its necessity in travel.

While heavy rain might cause flooding, flooding can also be caused by other factors like poor drainage. Therefore, we cannot definitively infer that it has rained heavily.

Baking soda is the common name for Sodium Bicarbonate (NaHCO3). It is widely used in baking as a leavening agent.

ISRO’s Chandrayaan-2 mission aimed to explore the south polar region of the Moon. This mission was significant for its attempt to study a region of the Moon not previously explored in detail.

Neither conclusion necessarily follows from the statements. The first conclusion is a misinterpretation of the relationship, and the second conclusion is not directly supported by the given information.

Since B is E’s parent and A’s sibling, and C is A’s parent, C is E’s (and therefore D’s) grandfather.

Original area = πr². New radius = 1.2r. New area = π(1.2r)² = 1.44πr². The percentage increase in area = (1.44πr² – πr²) / πr² × 100% = 44%.

Let original length = l and breadth = b. New length = 1.2l, new breadth = 1.3b. New area = 1.2l * 1.3b = 1.56lb. Increase = 1.56lb – lb = 0.56lb, which is a 56% increase.

Let the number be x. 35% of x = 175, so x = 175 * 100 / 35 = 500. 50% of 500 = 250.

“Cogent” is the correct choice. It means clear, logical, and convincing, which aligns with an argument based on facts and logical reasoning. Example: “She made a cogent argument for the adoption of renewable energy sources.”

The Chipko Movement in India, known for its strategy of hugging trees to prevent deforestation, drew significant inspiration from a similar movement in Japan. The Japanese movement involved protests against deforestation and emphasized harmony with nature, influencing the non-violent approach of the Chipko activists.

“English is spoken all over the world by people” is the correct passive form. The active voice ‘speak’ (present simple) changes to ‘is spoken’ (present simple passive) in passive voice. Example: “Spanish is spoken widely in South America.”

Insulin, a hormone produced by the pancreas, plays a key role in regulating blood sugar levels. It allows cells to absorb glucose from the blood for energy.

The most logical inference is that the flooding caused significant damage, prompting the government to announce relief measures. The other options are assumptions beyond the provided information.

Raj ends up 5m west of his original position, as his north and south movements cancel each other out.

Gain or loss is calculated on cost price. Let the cost price of the first watch be x and the second y. 105% of x = 95% of y = ₹2000. The overall loss = (Selling price of both – Cost price of both) = 4000 – (x + y). Calculating x and y and then the difference shows a 0.25% loss overall.

Megasthenes was an ancient Greek historian and diplomat who wrote the account ‘Indica’ based on his stay in India. He was an envoy to the court of Chandragupta Maurya, the founder of the Maurya Empire, and his writings provide valuable insights into early Indian history and society.

The Battle of Hydaspes in 326 BC was fought between Alexander the Great and King Porus, one of the most powerful Indian rulers of his time. The battle took place on the banks of the Hydaspes River (now the Jhelum River in Pakistan) and is notable for the respect Alexander developed for Porus for his bravery and leadership.

Conclusion I is not necessarily true as there’s no direct link between mangoes and sour things. Conclusion II is also not valid as the statement does not negate mangoes being sour. Therefore, neither conclusion follows.

The most direct implied outcome of requiring all public transport vehicles to be electric is an increase in electricity consumption (Option B). The other options, while possible, are more indirect and speculative.

The sentence should use “work” instead of “works” because “Neither of” is followed by a plural noun, thus requiring a plural verb. Correct sentence: “Neither of the solutions work.”

The pattern involves increasing the first letter by one, replacing the middle letter with a number representing the number of letters, and keeping the last letter the same. So, ‘fish’ becomes ‘g5h’.

Side of the triangle = Perimeter/3 = 18/3 = 6 cm. Area of an equilateral triangle = (√3/4) * side² = (√3/4) * 6² = 17.320 cm².

The passage defines the Baroque period by “elaborate and detailed style,” “dramatic use of light and color,” and “emphasis on motion and contrast,” making “All of the above” the correct option.

Each letter is assigned a unique number based on its position in ‘OPTICAL’. Using the same coding, ‘TOPICAL’ is coded as ‘3124567’.

The Battle of Plassey was fought in 1757 between the British East India Company and the Nawab of Bengal, Siraj ud-Daulah. It marked the beginning of British rule in India.

Milk = (7/10) * 30 = 21 litres, Water = 9 litres. Let x litres of water be added. New ratio = 21 : (9+x) = 3 : 7. Solving gives x = 14 litres.

Total surface area of a cube = 6 * side². 216 = 6 * side², giving side² = 36, so the side = 6 cm.

The assumption made in the argument is that flexible working hours will lead to increased productivity. It implies a direct correlation between flexible hours and productivity improvements.

Let the cost price be ₹x. Selling price = x + 20% of x = 1.2x = ₹816. Solving gives x = ₹680.

In this reverse alphabet code, ‘K’ is written as ‘P’, ‘I’ as ‘R’, ‘L’ as ‘O’. So, ‘KILL’ is coded as ‘PKOO’.

Kepler’s Laws of Planetary Motion describe the orbits of planets around the sun. They state that planets move in elliptical orbits with the sun at one focus, among other things.

Both the length and the width of the rectangle are necessary to calculate its area, as the area of a rectangle is given by the product of its length and width.

Kambala is a traditional buffalo race held in Karnataka, India. It is a popular and culturally significant event, showcasing the agricultural traditions of the region. Kambala is typically held in the coastal areas of Karnataka during the winter season.

The passage indicates that financial literacy includes understanding how to budget, save, invest, and manage debt, which are all aspects of managing personal finances effectively, making “All of the above” the correct answer.

Pattachitra, characterized by its intricate details and mythological narratives, is a traditional cloth-based scroll painting style native to Odisha, India. It is known for its vibrant colors and motifs and is closely related to the worship of Lord Jagannath.

Area of the square = 30 cm × 30 cm = 900 cm². Let the breadth of the rectangle be x cm. Length = 1.2x cm. Area = x × 1.2x = 900 cm². Solving for x gives x ≈ 27 cm, so the length is 1.2 × 27 ≈ 32.4 cm.

Bhutan uses ‘Gross National Happiness’ as a measure of its development, a concept introduced by its former King Jigme Singye Wangchuck. It focuses on sustainable and holistic development rather than just economic growth.

“John, who is an engineer, is my friend.” is correctly punctuated. The commas are used to set off the non-restrictive clause “who is an engineer,” which provides extra information about John. Example: “My brother, who lives in New York, is visiting.”

‘Cube’ is the odd one out as it is a 3-dimensional shape, while the others are 2-dimensional polygons.

Speed of the second train = 400 km / 4 hrs = 100 km/hr. Using the ratio of speeds, 3:4, speed of the first train = 3/4 × 100 = 75 km/hr.

The most directly implicit assumption in the advertisement is that people want their clothes to last longer (Assumption B). The advertisement suggests this benefit to attract customers. Assumption A is a marketing claim, not necessarily an implicit assumption of the statement.

A’s 1 day’s work = 1/10, B’s 1 day’s work = 1/15. Together, in 4 days, they complete 4*(1/10 + 1/15) = 2/5 of the work. Remaining work = 1 – 2/5 = 3/5. A will complete this in 3/5 * 10 = 6 more days.

Area of a parallelogram = base * height. Let the base be x cm. Then, x * 15 = 180. Solving for x gives x = 12 cm.

A ‘Pen’ is used to ‘Write’; similarly, a ‘Brush’ is used to ‘Paint’.