Let the speed of the man in still water be x km/hr and the speed of the current be y km/hr. Set up two equations based on the given data: 12/(x + y) + 8/(x – y) = 4 and 16/(x + y) + 12/(x – y) = 6. Solving these equations simultaneously gives x = 7 km/hr and y = 3 km/hr.

The passage indicates that artificial intelligence in medicine enables more accurate diagnoses and personalized treatment plans, leading to improved patient outcomes, making “Both B and C” the correct answer.

Interest = ₹9200 – ₹8000 = ₹1200. Rate = (Interest / Principal) * (100 / Time) = (1200 / 8000) * (100 / 3) ≈ 5%.

The error is in “The data.” “Data” is a plural noun, so the verb should be “show” not “shows.” Correct sentence: “The data show that the new policy is effective.”

“None of the players wants to be traded” is correct. “None” is often treated as singular, especially when it implies ‘not one’ or ‘no part’, hence it takes a singular verb ‘wants’.

’52’ is ‘eat’, ’63’ is ‘hot’, and ’84’ is ‘tea’, so 526384 is ‘Tea hot eat’.

By Pythagoras theorem, hypotenuse² = perpendicular² + base² = 24² + 7² = 576 + 49 = 625. Hypotenuse = √625 = 25 cm.

The pattern in the series involves skipping one letter each time. So, after IHJ, the next sequence starts with ‘K’, followed by ‘L’ (skipping ‘I’), and ‘N’ (skipping ‘M’). Hence, the answer is ‘KLN’.

“Judicious” is the correct choice, meaning having, showing, or done with good judgment or sense. It fits the context of a wise decision made in response to technical issues. Example: “The judicious use of resources helped the company overcome the financial crisis.”

“Galvanizing” is the correct choice, meaning stimulating or inciting action, especially positive action. It fits the context of a speech that inspires innovation and creativity. Example: “Her galvanizing talk motivated the team to tackle the new project with enthusiasm.”

The Kalinga War, which had a profound impact on Emperor Ashoka, leading to his conversion to Buddhism, was fought in 261 BC. The war, fought between the Mauryan Empire and the state of Kalinga (modern-day Odisha), was one of the bloodiest battles in Indian history and deeply affected Ashoka, prompting him to embrace non-violence and Buddhism.

The passage specifically mentions that sustainable agriculture aims to establish an ecological balance, which is part of its broader goals, including using ecological principles and producing food.

The assumption is that people are willing to use public transportation. The argument suggests that encouraging its use will reduce traffic congestion, implying that people’s choice to switch to public transportation is a key factor.

“Seeing the popularity of the movement, many people decided to jump on the bandwagon” is the correct usage. ‘Jump on the bandwagon’ means to join others in doing something that is becoming fashionable or popular. Example: “As the technology proved successful, more companies began to jump on the bandwagon.”

‘Operation Meghdoot’, conducted in 1984 by the Indian Armed Forces, was aimed at securing control over the Siachen Glacier. This operation was a preemptive strike to prevent Pakistani forces from occupying the glacier. The Siachen Glacier, located in the eastern Karakoram range in the Himalayas, holds strategic significance due to its location. The successful execution of Operation Meghdoot ensured Indian control over the area, which has since been a point of contention between India and Pakistan.

The error is in “have.” “Many a” is followed by a singular noun and verb, so it should be “has.” Correct sentence: “Many a student has failed the exam due to lack of study.”

The national flower of India is the lotus. According to the given information, ‘lotus’ is called ‘marigold’, but ‘daisy’ is called ‘lotus’. So, the answer is ‘daisy’.

The Great Living Chola Temples, which include the Brihadisvara Temple at Thanjavur, were built during the reign of Rajaraja Chola I. These temples are known for their architectural grandeur and are a part of the UNESCO World Heritage Sites. They reflect the richness of the Chola architectural style.

The Chipko Movement primarily used the method of tree hugging to prevent def

The error is in “reflect.” “The team’s strong performance,” as a singular subject, requires a singular verb, so it should be “reflects.” Correct sentence: “The team’s strong performance reflects their dedication and hard work.”

“Gripping” is the correct choice, meaning very exciting and interesting, holding one’s attention completely. This fits the context of a novel that keeps readers engaged. Example: “The movie had a gripping storyline that captivated the audience.”

Given 8% of x = 4% of y, or 0.08x = 0.04y. Solving for y, y = 2x. Hence, y is 50% of x.

“They enjoy hiking in the mountains” is correct. “Hiking” is used as a gerund, acting as the object of the verb “enjoy,” and it indicates an activity that they find pleasurable.

Let x kg be sold at 18% profit. Then, (1000 – x) kg is sold at 8% profit. Total profit = 14% of 1000 kg = 140 kg. According to the problem, 0.18x + 0.08(1000 – x) = 140. Solving for x gives x = 600 kg.

Exploring the idea for any feasible aspects encourages open-mindedness and constructive criticism, which are essential for Critical Thinking.

In a right-angled triangle (ΔABC with ∠C = 90°), by Pythagoras theorem, AB² = AC² + BC² = 8² + 6² = 64 + 36 = 100. Therefore, AB = √100 = 10 cm.

The Law of Inheritance was formulated by Gregor Mendel, known as the father of modern genetics, through his work on pea plants. His experiments led to the principles of Mendelian inheritance, laying the foundation for the study of genetics.

“He completed the task in the nick of time before the deadline” is the correct usage. ‘In the nick of time’ means just in time to prevent something bad happening. Example: “The ambulance arrived in the nick of time to save the patient.”

Sum of the angles of a quadrilateral = 360°. Let the angles be 2x, 3x, 5x, and 6x. Then, 2x + 3x + 5x + 6x = 360°. Solving gives x = 20°. The largest angle = 6x = 120°.

Let the lengths of the sides be 3x cm and 5x cm. Perimeter = 2(3x + 5x) = 160 cm. Solving for x gives x = 10 cm. Therefore, the sides are 30 cm and 50 cm, and the area = 30 cm × 50 cm = 1,500 cm².

Let the amount invested at 10% be ₹x. Then, amount invested at 20% is ₹20,000 – x. Total interest for one year is ₹3,000 = 10% of x + 20% of (₹20,000 – x). Solving this equation gives x = ₹10,000.

A 20% decrease results in the new price being 80% of the original. To restore the original price, the new price must be increased by a percentage of the new price, not the original. So, the required percentage = (Original Price – New Price) / New Price × 100% = (100% – 80%) / 80% × 100% = 25%.

Speed = 80 km/hr = 80 * (1000/3600) m/s = 22.22 m/s. Distance covered in 9 seconds (length of train) = Speed * Time = 22.22 m/s * 9 s ≈ 200 meters.

The conclusion is valid. The statement establishes that regular maintenance extends a vehicle’s life. Since Rachel’s car undergoes regular maintenance, it logically follows that it will have an extended lifespan.

Each letter is represented by its position in the alphabet. So, ‘GREEN’ is coded as 7-18-5-5-14.

The Montreal Protocol, established in 1987, is an international environmental agreement designed to phase out the use and production of substances that deplete the ozone layer. These substances include chlorofluorocarbons (CFCs) and other ozone-depleting chemicals. The protocol has been highly successful in reducing the emissions of these harmful substances, contributing significantly to the recovery and protection of the ozone layer, and is often cited as one of the most effective international environmental treaties.

“They are confident in their ability to succeed” is correct. “In” is the appropriate preposition to use with “confident” when expressing belief in one’s own abilities or qualities.

“Insightful” is the correct choice, meaning having or showing an accurate and deep understanding. It fits the context of providing a unique perspective on historical events. Example: “Her insightful analysis of the data revealed new trends.”

“All the reports will be reviewed by the manager by Friday” is the correct passive form. The future tense ‘will review’ becomes ‘will be reviewed’ in the passive voice. Example: “The applications will be processed by the committee next week.”

The perimeter of a semicircle = πr + 2r (half the circumference plus the diameter). So, πr + 2r = 72 cm. Using π = 22/7 and solving for r gives r = 14 cm.

“Renowned” is the correct choice. It means known or talked about by many people; famous, especially in a positive way. This fits the context of being recognized for innovative artistic work. Example: “The chef is renowned for his creative sushi dishes.”

The Swadeshi Movement, advocating the use of domestically produced goods and the boycott of British goods, was officially proclaimed at the 1905 session of the Indian National Congress in response to the partition of Bengal by the British government.

The series follows a pattern of increasing odd numbers and subsequent letters. After 7H, the next term is 9J.

If the cost price is ₹100, the marked price is ₹125. A 10% discount on ₹125 is ₹12.5, so the selling price is ₹112.5. The profit is ₹12.5, which is 12.5% of the cost price.

Both assumptions are implicit in the statement. Assumption A is that eating fruits and vegetables contributes to health, which is the basis of the advice. Assumption B is that people currently do not eat enough fruits and vegetables, hence the need for such a recommendation.

Total surface area of a cube = 6 × side². So, side² = 150/6 = 25 cm². Therefore, side = √25 = 5 cm. Volume = side³ = 5³ = 125 cm³.

‘Project Tiger’ was launched in 1973 during the tenure of Prime Minister Indira Gandhi. This initiative was a response to the alarming decrease in the tiger population in India due to hunting and habitat destruction. The project’s goal was to ensure a viable population of Bengal tigers in their natural habitats and to preserve areas of biological importance as a natural heritage for the people. It involved the creation of tiger reserves, with efforts focused on maintenance of habitats, conservation, and anti-poaching activities.

The ratio of areas of squares is the square of the ratio of their sides. If the ratio of their sides is a:b, then a²:b² = 1:9, giving a:b = 1:3. The ratio of their perimeters (which is proportional to the sides) is also 1:3.

The coding pattern involves moving each letter one position forward in the alphabet. Thus, ‘DATABASE’ is coded as ‘EBUBTCBF’.

A’s 1 day’s work = 1/15, B’s 1 day’s work = 1/10. Work done by A and B in 2 days = 2 * (1/15 + 1/10) = 1/3. Remaining work = 1 – 1/3 = 2/3. B completes 1/10 of work in 1 day, so for 2/3 work, B will take 2/3 * 10 = 6.67 days, which is approximately 7 days.