Question 1
Solve: \(\left(\sqrt{6400} - \sqrt{2401}\right)\) \({}\times \left(\frac{1}{4}\right)\)
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Solve: \(\left(\sqrt{6400} - \sqrt{2401}\right)\) \({}\times \left(\frac{1}{4}\right)\)
Solve: \(\left(\sqrt{5776} - \sqrt{4761}\right)\) \({}\times \left(\frac{1}{2}\right)\)
If 40% of \(A = 0.5\) of B = \(\frac{1}{4}\) of C, then what is A : B : C?
Two containers of equal capacity filled with milk and water. The first contains milk and water in the ratio \(2 : 3,\) and the second in the ratio \(3 : 2.\) The mixtures are then combined. What is the ratio of milk to water in the resulting mixture?
A pair of shoes is listed at ₹ 800. After two successive discounts, it is sold for ₹ 612. If the first discount offered was 10%, what was the second discount percentage?
A retailer marked a product 60% above its cost price. He provided two successive discounts of 25% and 10%. If he earned a profit of ₹160, what was the cost price of the product?
If \(x + \frac{2}{x} = 7\), find the value of \(x^3 + \frac{8}{x^3}\).
An educational fund of ₹6,00,000 earns simple interest at 9% per annum. This annual interest is used to grant three scholarships. If the first and third scholarships are ₹18,000 and ₹22,000 respectively, what is the value of the second scholarship?
Suppose ₹X is invested, and after 2 years at 5% simple interest, it yields ₹Y interest. If ₹Y is then invested for 2 years at 5% simple interest, it yields ₹Z interest. Which of the following is true?
An airplane flying at a height of 300 m notices the angles of depression to two boats located on opposite sides as 45° and 30°. Find the distance between the two boats.