Past Questions

Switzerland is widely known as the 'Playground of Europe' due to its diverse geography, specifically the Swiss Alps, which offer world-class opportunities for skiing, hiking, and mountaineering. Its political neutrality, high safety standards, and excellent infrastructure have historically made it a premier destination for European tourists seeking both adventure and relaxation. Analysis of other options: - Sweden (a) and Norway (c) are Scandinavian countries known for their fjords and forests, but they do not hold this specific title. - London (b) is a city (the capital of the UK), not a country, and therefore cannot be the 'Playground of Europe'.

The Forbes 'World's Most Powerful People' list was an annual ranking published by Forbes magazine between 2009 and 2018 (excluding 2017). According to historical data and the provided reference, Russian President Vladimir Putin was ranked as the most powerful person in the world multiple times (four times) during the tenure of this list. While other figures like Donald Trump and Narendra Modi appeared on the list, Vladimir Putin held the top position more frequently than any other individual listed in the options. Therefore, in the context of this specific Forbes ranking series, Vladimir Putin is the correct answer.

Step-by-step solution: 1. **Identify the variables**: Let the age of the father be 'F' and the age of each twin son be 'S'. Since they are twins born on the same day, their ages are identical. 2. **Use the average age formula**: The average age of the man and his two sons is 30 years. Formula: (Sum of ages) / (Number of people) = Average (F + S + S) / 3 = 30 F + 2S = 90 --- (Equation 1) 3. **Use the given ratio**: The ratio of the father's age to one son's age is 5 : 2. F / S = 5 / 2 F = (5/2)S or S = (2/5)F --- (Equation 2) 4. **Substitute Equation 2 into Equation 1**: F + 2(2/5)F = 90 F + 4/5F = 90 (5F + 4F) / 5 = 90 9F / 5 = 90 9F = 450 F = 50 5. **Verification**: If the father is 50, then the son is (2/5)*50 = 20. Average = (50 + 20 + 20) / 3 = 90 / 3 = 30. This matches the problem statement. Comparing with options: - a. 30 years: Incorrect. If F=30, S=12. Average = (30+12+12)/3 = 18. - b. 35 years: Incorrect. If F=35, S=14. Average = (35+14+14)/3 = 21. - c. 45 years: Incorrect. If F=45, S=18. Average = (45+18+18)/3 = 27. - d. 50 years: Correct.

The Rajiv Gandhi Khel Ratna (now renamed as the Major Dhyan Chand Khel Ratna Award) is India's highest sporting honor. The prize money associated with this award has evolved over time. Historically, and specifically in the context of the options provided in this exam question, the cash prize was Rs 7.5 lakhs. While the prize money was significantly increased to Rs 25 lakhs in 2020, the options provided (a. 1.50 lakhs, b. 3 lakhs, c. 5 lakhs, d. 7.5 lakhs) correspond to the award's value prior to the 2020 revision. Therefore, based on the available options, Rs 7.5 lakhs is the correct answer.

John Boyd Dunlop was a Scottish inventor and veterinary surgeon who invented the practical pneumatic (air-filled) rubber tyre in 1888. He originally developed the invention to make his son's tricycle ride more smoothly over rough surfaces. This innovation revolutionized transportation, leading to the widespread use of pneumatic tyres for bicycles and later for automobiles. - Option (b) Automobile wheel rim: While Dunlop's tyres fit on rims, he did not invent the wheel rim itself. - Option (c) Rubber boot: Dunlop is not credited with the invention of the rubber boot (Charles Goodyear is more closely associated with the vulcanization of rubber used in such products). - Option (d) Model Airplanes: There is no historical record of J.B. Dunlop inventing model airplanes.