Q.5779·Miscellaneous·2019·EasyThe mean weight of 150 students in a certain class is 60 kg. The mean weight of boys is 70 kg and that of girls is 55 kg. What are the number of boys and girls respectively in the class?View question
Q.5780·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.5781·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.5782·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.5783·Miscellaneous·2019·EasyConsider the function f(x) = 3x⁴ - 20x³ - 12x² + 288x + 1 In which one of the following intervals is the function decreasing ?View question
Q.5785·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.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·EasyLet f(x) = x² + 2x – 5 and g(x) = 5x + 30 What are the roots of the equation g[f(x)] = 0 ?View question
Q.5788·Miscellaneous·2019·EasyIf the magnitude of the sum of two non-zero vectors is equal to the magnitude of their difference, then which one of the following is correct?View question
Q.5789·Miscellaneous·2019·EasyA ladder 9 m long reaches a point 9 m below the top of a vertical flagstaff. From the foot of the ladder, the elevation of the flagstaff is 60°. What is the height of the flagstaff?View question
Q.5790·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.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·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.5793·Miscellaneous·2019·EasyA curve y = me^mx where m > 0 intersects y-axis at a point P. How much angle does the tangent at P make with y-axis ?View question
Q.5794·Miscellaneous·2019·EasyWhich one of the following is the differential equation that represents the family of curves y = 1 / (2x² - c) where c is an arbitrary constant ?View question
Q.5795·Miscellaneous·2019·EasyA curve y = me^mx where m > 0 intersects y-axis at a point P. What is the equation of tangent to the curve at P ?View question
Q.5796·Miscellaneous·2019·EasyConsider the equation xʸ = e^(x - y) What is dy/dx at x = 1 equal to ?View question