Q.11593·Miscellaneous·2014·EasyConsider the following statements: 1.The function f(x) = |x| is not differentiable at x = 1. 2.The function f(x) = e^x is differentiable at x = 0. Which of the above statements is/are correct?View question
Q.11595·Miscellaneous·2014·EasyConsider the following statements: 1.f′(2 + 0) does not exist. 2.f′(2 − 0) does not exist. Which of the above statements is/are correct?View question
Q.11596·Miscellaneous·2014·EasyConsider the following statements: 1.The function f(x) = sin x decreases on the interval (0, π/2). 2.The function f(x) = cos x increases on the interval (0, π/2). Which of the above statements is/are correctView question
Q.11597·Miscellaneous·2014·EasyWhat is the number of arbitrary constants in the particular solution of differential equation of third order?View question
Q.11598·Miscellaneous·2014·EasyWhat is the equation of a curve passing through (0, 1) and whose differential equation is given by dy = y tan x dx?View question
Q.11599·Miscellaneous·2014·EasyThe mean and standard deviation of 100 items are 50, 5 and that of 150 items are 40, 6 respectively. What is the variance of all the 250 items?View question
Q.11600·Miscellaneous·2014·EasyThe mean and standard deviation of 100 items are 50, 5 and that of 150 items are 40, 6 respectively. What is the combined standard deviation of all 250 items?View question
Q.11601·Miscellaneous·2014·EasyConsider the following statements in respect of the differential equation d²y/dx² + cos(dy/dx) = 0: 1.The degree of the differential equation is not defined. 2.The order of the differential equation is 2. Which of the above statements is/are correct?View question
Q.11602·Miscellaneous·2014·EasyWhat is the equation of parabola whose vertex is at (0, 0) and focus is at (0, -2)?View question
Q.11603·Miscellaneous·2014·EasyNumber X is randomly selected from the set of odd numbers and Y is randomly selected from the set of even numbers of the set {1, 2, 3, 4, 5, 6, 7}. Let Z = (X + Y). What is P(Z = 5) equal to?View question
Q.11604·Miscellaneous·2014·EasyThe mean and standard deviation of 100 items are 50, 5 and that of 150 items are 40, 6 respectively What is the combined mean of all 250 items?View question
Q.11605·Miscellaneous·2014·EasyNumber X is randomly selected from the set of odd numbers and Y is randomly selected from the set of even numbers of the set {1, 2, 3, 4, 5, 6, 7}. Let Z = (X + Y). What is P(Z = 10) equal to?View question
Q.11606·Miscellaneous·2014·EasyThe number of telephone calls received in 245 successive one-minute intervals at an exchange is given below in the following frequency distribution: What is the mode of the distribution?View question
Q.11607·Miscellaneous·2014·EasyWhich of the following is/are the most likely cause/causes of sheet-flood found in western part of Rajasthan? 1.Scanty rainfall 2.Sudden high intensity rain 3.Loose sandy soil with scanty vegetation Select the correct answer using the code given below.View question
Q.11608·Miscellaneous·2014·EasyThe number of telephone calls received in 245 successive one-minute intervals at an exchange is given below in the following frequency distribution: What is the median of the distribution?View question
Q.11609·Miscellaneous·2014·EasyMulching, an agronomic measure of soil conservation, is very effective because it 1.protects soil from gully erosion 2.protects soil from sheetwash and wind erosion 3.helps soil to retain moisture and nutrients Select the correct answer using the code given below.View question
Q.11610·Miscellaneous·2014·EasyA semiconducting device is connected in a series circuit with a battery and a resistance. Current is found to pass through the circuit. If the polarity of the battery is reversed, the current drops to zero. The device may beView question