A solid brass sphere of radius 21 cm is converted into a right circular cylindrical rod of length 28 cm. The ratio of total surface areas of the rod to sphere is:

Consider the following statements, which of them is/are correct? A. If the height of cylinder is doubled, the area of curved surface is doubled. B. If the radius of a hemispherical solid is doubled, its total surface area becomes fourfold. C. If a hemisphere and cone have equal b…

Let \(x\) be median of the data 13, 8, 15, 14, 17, 9, 14, 16, 13, 17, 14, 15, 16, 15, 14. If 8 is replaced by 18, then the median of data is y, then the sum of x and y is equal to:

Which of the following statements is/are correct? A. If \(2^x = 3^y = 6^{-z}\), then \(\frac{1}{x} + \frac{1}{y} + \frac{1}{z} = 0\) B. \((243)^{0.16} \times (9)^{0.1} = 0.3\) C. If \(3.105 \times 10^P = 0.00239 + 0.000715\), then P = -3 Choose the correct answer from the options…

Amit and Alok attempted to solve a quadratic equation. Amit made a mistake in writing down the constant term and ended up with roots (4, 3). Alok made a mistake in writing down coefficient of \(x\) to get roots (3, 2). The correct roots of the equation are:

₹ 11,550 has to be divided between A, B and C such that A gets \(\frac{4}{5}\) of what B gets and B gets \(\frac{2}{3}\) of what C gets. How much more does C get in comparison to A (in ₹)?

The ratios of copper to zinc in alloys A and B are 3:4 and 5:9, respectively. If A and B are taken in ratio 2:3 and melted to form new alloy C, then the ratio of copper to zinc in C is:

If \(a + b = 2c\), then the value of \(\frac{a}{a-c} + \frac{b}{b-c}\) is

If \(\frac{\sin\theta + \cos\theta}{\sin\theta - \cos\theta} = 3\), then value of \(\sin^4\theta - \cos^4\theta\) is