Q.9199·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.9200·Miscellaneous·2016·EasyA fair coin is tossed 100 times. What is the probability of getting tails an odd number of times?View question
Q.9201·Miscellaneous·2016·EasyConsider the following statements in respect of a histogram: 1. The total area of the rectangles in a histogram is equal to the total area bounded by the corresponding frequency polygon and the x-axis. 2. When class intervals are unequal in a frequency distribution, the area of the rectangle is proportional to the frequency. Which of the above statements is/are correct?View question
Q.9202·Miscellaneous·2016·EasyFor the data 3, 5, 1, 6, 5, 9, 5, 2, 8, 6 the mean, median and mode are x, y and z respectively. Which one of the following is correct?View question
Q.9203·Miscellaneous·2016·EasyA point is chosen at random inside a rectangle measuring 6 inches by 5 inches. What is the probability that the randomly selected point is at least one inch from the edge of the rectangle?View question
Q.9204·Miscellaneous·2016·EasyWhat is the probability of 5 Sundays in the month of December?View question
Q.9205·Miscellaneous·2016·EasyA certain type of missile hits the target with probability p = 0.3. What is the least number of missiles should be fired so that there is at least an 80% probability that the target is hit?View question
Q.9206·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.9207·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.9208·Miscellaneous·2016·EasyA coin is tossed three times. What is the probability of getting head and tail alternately?View question
Q.9209·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.9210·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.9211·Miscellaneous·2016·EasyWhat is the mean deviation from the mean of the numbers 10, 9, 21, 16, 24?View question
Q.9212·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.9213·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.9214·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.9215·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.9216·Miscellaneous·2016·EasyConsider a circle passing through the origin and the points (a, b) and (−b, −a). What is the sum of the squares of the intercepts cut off by the circle on the axes?View question