Q.5779·Miscellaneous·2019·EasyA car travels first 60 km at a speed of 3v km/hr and travels next 60 km at 2v km/hr. What is the average speed of the car?View question
Q.5780·Miscellaneous·2019·EasyIf the range of a set of observations on a variable X is known to be 25 and if Y = 40 + 3X, then what is the range of the set of corresponding observations on Y?View question
Q.5781·Miscellaneous·2019·EasyMean of 100 observations is 50 and standard deviation is 10. If 5 is added to each observation, then what will be the new mean and new standard deviation respectively?View question
Q.5782·Miscellaneous·2019·EasyIf a fair die is rolled 4 times, then what is the probability that there are exactly 2 sixes?View question
Q.5786·Miscellaneous·2019·EasyConsider the following equations for two vectors a and b : 1. ( a + b ) · ( a − b ) = | a |² − | b |² 2. [( a + b )] [( a − b )] = | a |² − | b |² 3. | a · b |² + | a × b |² = | a |² | b |² Which of the above statements are correct?View question
Q.5787·Miscellaneous·2019·EasyConsider the following statements : 1. The magnitude of a × b is same as the area of a triangle with sides a and b 2. If a × b = 0 where a ≠ 0, b ≠ 0, then a = λb Which of the above statements is/are correct ?View question
Q.5789·Miscellaneous·2019·EasyA straight line passes through the point (1, 1, 1) makes an angle 60° with the positive direction of z-axis, and the cosine of the angles made by it with the positive directions of the y-axis and the x-axis are in the ratio √3 : 1. What is the acute angle between the two possible positions of the line ?View question
Q.5790·Miscellaneous·2019·EasyFor what value of k is the function ⎧ 2x + 1/4 , x < 0 f(x) = ⎨ k , x = 0 continuous ? ⎩ (x + 1/2)^2 , x > 0View question
Q.5791·Miscellaneous·2019·EasyLet f(x) = x² + 2x – 5 and g(x) = 5x + 30 If h(x) = 5f(x) – xg(x), then what is the derivative of h(x) ?View question
Q.5792·Miscellaneous·2019·EasyLet f(x) = x² + 2x – 5 and g(x) = 5x + 30 Consider the following statements : 1. f[g(x)] is a polynomial of degree 3. 2. g[f(x)] is a polynomial of degree 2. Which of the above statements is/are correct ?View question
Q.5794·Miscellaneous·2019·EasyIf angle C of a triangle ABC is a right angle, then what is tanA + tanB equal to?View question
Q.5795·Miscellaneous·2019·EasyWhat is tan25°tan15° + tan15°tan50° + tan25°tan50° equal to?View question
Q.5796·Miscellaneous·2019·EasyWhich one of the following is the second degree polynomial function f(x) where f(0) = 5, f(–1) = 10 and f(1) = 6 ?View question