Five friends are playing a game consisting of several rounds. In each round, every friend is assigned a unique score ranging from 1 to 5, ensuring no two friends receive the same score in that round. It is also known that each friend obtained a different score in each round. The provided table presents partial details about the scores earned by each friend in different rounds, along with their total scores across all rounds. Using this information, answer the following questions.
How many arrangements of scores are possible?
What is the score that is not obtained by Deepak in any round?
Rushi is camping in the wilderness, he parks his car and walks 10 feet straight and then takes a right turn and walks 20 feet. He encounters some magic mushrooms which throws his sense of direction off and proceeds to take another right turn and walks 40 feet. Finally, he takes a left turn and walks 20 feet and sets up his camp for the night.
Find the distance (in feet) between the point where Rushi parked his car and the point where he set up camp for the night?
From the camped spot, if Rushi wants to take the shortest route to the point where he encountered magic mushrooms, what is the distance (to the nearest integer) he would have to travel?
For the following questions answer them individually
Ravi starts his walk from his house facing North. He walks 8 meters straight, then takes a left turn and walks 6 meters. He then takes another left turn and walks 10 meters. After that, he takes a right turn and walks 4 meters. Next, he takes a right turn again and walks 6 meters. Finally, he takes a left turn and walks 2 meters. In which direction is he facing now?
Vishnu starts when he was facing North. He turns left, travels 39m, turns left again, and travels 17m to reach B. From B, he moves 20m east to C. From C, he turns right, walks 23m to D, turns left, and walks 10m to his final destination. What is the distance between his initial and final points, and in which direction is the final point from the initial point?
Ram stands at a point facing north. He walks forward for one hour, then turns left and walks for half an hour. He then rotates $$90^{\circ\ }$$ clockwise and walks for another half-an-hour, after which he turns $$90^{\circ\ }$$ clockwise and walks for an hour, after which he walks in the south direction for an hour. What is the shortest time (approximately) it would take him to reach the starting point?
(Assume that the walks at constant speed throughout.)
A recent study found that people who engage in at least 30 minutes of physical exercise daily tend to have lower stress levels compared to those who do not exercise. Based on this, a fitness trainer concluded that regular exercise directly reduces stress levels.
Which of the following assumptions underlies the fitness trainer's conclusion?
Many cities have introduced bike-sharing programs to reduce traffic congestion and promote eco-friendly transportation. Studies show that in cities with proper infrastructure, such as bike lanes and safe parking, these programs reduce car usage and lower carbon emissions. However, in cities lacking such infrastructure, bike-sharing programs often struggle to succeed, resulting in minimal impact on traffic and pollution.
Which of the following most accurately describes the cause-and-effect relationship in the passage?
As reported by the Financial Times, pension funds in Wisconsin and Michigan have become significant holders of U.S. stock market funds focused on cryptocurrency, signaling a growing trend of institutional investment in digital assets as Bitcoin's value surpasses $100,000.
Based on the information provided in the paragraph, which of the following is a possible conclusion?