Question 1
Let \(x = \sqrt{3} + \sqrt{5}\) and \(y = \sqrt{8} + \sqrt{2}.\) Which is greater?
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Let \(x = \sqrt{3} + \sqrt{5}\) and \(y = \sqrt{8} + \sqrt{2}.\) Which is greater?
The number of red, blue, and green marbles in a bag is in the ratio \(3 : 4 : 6.\) If 20 red marbles, 15 blue marbles, and an unknown number of green marbles are added to the bag, the ratio of red, blue, and green marbles becomes \(4 : 5 : 7.\) Determine the number of green marbles added.
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The price of petrol shot up by 5%. Before the hike, the price was Rs. 82 per litre. A man travels 3045 km every month and his car gives a mileage of 15 km per litre. What is the increase in the monthly expenditure (to the nearest Rs.) on the man's travel due to the hike in the petrol prices?
A company placed an order for 20 high-end laptops and some quantity of standard desktops. The price of a high-end laptop was 5 times that of a standard desktop. Due to a mistake, the number of laptops and desktops was interchanged in the delivery. This caused the total bill to increase by 80%. What was the ratio of the number of high-end laptops to standard desktops in the original order?
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A candy shop owner buys three kinds of candies: red, blue, and green. Red candies are purchased at 3 for ₹15, blue candies at 4 for ₹18, and green candies at 5 for ₹22. He mixes them in the ratio \(1 : 1 : 2.\) He sells all the mixed candies at 2 for ₹10. What is his approximate gain or loss percentage?