Q.9217·Miscellaneous·2016·EasyIf two dice are thrown, then what is the probability that the sum on the two faces is greater than or equal to 4?View question
Q.9218·Miscellaneous·2016·EasyA card is drawn from a well-shuffled deck of 52 cards. What is the probability that it is queen of spade?View question
Q.9219·Miscellaneous·2016·EasyA coin is tossed three times. What is the probability of getting head and tail alternately?View question
Q.9220·Miscellaneous·2016·EasyA plane P passes through the line of intersection of the planes 2x − y + 3z = 2, x + y − z = 1 and the point (1, 0, 1). What is the equation of the plane P?View question
Q.9221·Miscellaneous·2016·EasyA plane P passes through the line of intersection of the planes 2x − y + 3z = 2, x + y − z = 1 and the point (1, 0, 1). What are the direction ratios of the line of intersection of the given planes?View question
Q.9222·Miscellaneous·2016·EasyConsider the following statements : 1. tan⁻¹ x + tan⁻¹(1/x) = π 2. There exist x, y ∈ [−1, 1], where x ≠ y such that sin⁻¹ x + cos⁻¹ y = π/2. Which of the above statements is/are correct?View question
Q.9223·Miscellaneous·2016·EasyLet f : R → R be a function such that f(x) = x³ + x²f′(1) + xf″(2) + f‴(3) for x ∈ R. Consider the following : 1. f′(2) = f(1) − f(0) 2. f″(2) − 2f′(1) = 12 Which of the above is/are correct?View question
Q.9224·Miscellaneous·2016·EasyWhat is the number of natural numbers less than or equal to 1000 which are neither divisible by 10 nor 15 nor 25?View question
Q.9225·Miscellaneous·2016·Easy(a, 2b) is the mid-point of the line segment joining the points (10, -6) and (k, 4). If a - 2b = 7, then what is the value of k?View question
Q.9226·Miscellaneous·2016·EasyLet f : R → R be a function such that f(x) = x³ + x²f′(1) + xf″(2) + f‴(3) for x ∈ R. What is f(1) equal to?View question
Q.9227·Miscellaneous·2016·EasyTwo independent events A and B have P(A) = 3/5 and P(B) = 5/8. What is the probability that exactly one of the two events A or B occurs?View question
Q.9228·Miscellaneous·2016·EasyThree dice are thrown simultaneously. What is the probability that the sum on the three faces is at least 5?View question
Q.9229·Miscellaneous·2016·EasyWhat is the mean deviation from the mean of the numbers 10, 9, 21, 16, 24?View question
Q.9230·Miscellaneous·2016·EasyConsider the following statements : 1. If ABC is an equilateral triangle, then 3 tan (A + B) tan C = 1. 2. If ABC is a triangle in which A = 78°, B = 66°, then tan (B + C)/2 < tan A. 3. If ABC is any triangle, then tan (A + B)/2 = cot (C/2). Which of the above statements is/are correct?View question
Q.9231·Miscellaneous·2016·EasyConsider a circle passing through the origin and the points (a, b) and (−b, −a). On which line does the centre of the circle lie?View question
Q.9232·Miscellaneous·2016·EasyIf m is the geometric mean of log(yz), log(zx), log(xy), then what is the value of m?View question
Q.9233·Miscellaneous·2016·EasyConsider the function f(x) = | x³ sin x cos x | | 6 −1 0 | | p p² p³ | where p is a constant. What is the value of f '(0)?View question
Q.9234·Miscellaneous·2016·EasyConsider the function f(x) = | x³ sin x cos x | | 6 −1 0 | | p p² p³ | where p is a constant. What is the value of p for which f ''(0) = 0?View question