Q.667·Miscellaneous·2024·EasyLet z = [y] and y = [x] - x, where [.] is the greatest integer function. If x is not an integer but positive, then what is the value of z?View question
Q.668·Miscellaneous·2024·EasyThe letters of the word ZOOLOGY are arranged in all possible ways. What is the probability that the consonants and vowels occur alternatively?View question
Q.669·Miscellaneous·2024·EasyIf f(x) = 4x + 1 and g(x) = kx + 2 such that f o g(x) = g o f(x), then what is the value of k?View question
Q.670·Miscellaneous·2024·EasyWhat is the mean deviation of the first 10 natural numbers?View question
Q.671·Miscellaneous·2024·EasyA fair coin is tossed till two heads occur in succession. What is the probability that the number of tosses required is less than 6?View question
Q.672·Miscellaneous·2024·EasyWhat is the minimum value of the function f(x) = log10(x^2 + 2x + 1)?View question
Q.673·Miscellaneous·2024·EasyThree distinct natural numbers are chosen at random from 1 to 10. What is the probability that they are consecutive?View question
Q.674·Miscellaneous·2024·EasyA, B, C are three mutually exclusive and exhaustive events associated with a random experiment. If 3P(B) = 4P(A) and 3P(C) = 2P(B), then what is P(A) equal to?View question
Q.675·Miscellaneous·2024·EasyLet L: x + y + z + 4 = 0 = 2x - y - z + 8 be a line and P: x + 2y + 3z + 1 = 0 be a plane. What are the direction ratios of the line?View question
Q.676·Miscellaneous·2024·EasyA die has two faces with number 4, three faces with number 5 and one face with number 6. If the die is rolled once, then what is the probability of getting 4 or 5?View question
Q.677·Miscellaneous·2024·EasyLet L: x + y + z + 4 = 0 = 2x - y - z + 8 be a line and P: x + 2y + 3z + 1 = 0 be a plane. What is the point of intersection of L and P?View question
Q.678·Miscellaneous·2024·EasyA box contains 2 black, 4 yellow and 6 white balls. Three balls are drawn in succession with replacement. What is the probability that all three are of the same colour?View question
Q.679·Miscellaneous·2024·EasyA can hit a target 5 times in 6 shots, B can hit 4 times in 5 shots and C can hit 3 times in 4 shots. What is the probability that A and C may hit but B may lose?View question
Q.680·Miscellaneous·2024·EasyThe product of 5 consecutive terms of an AP is 229635. The first, second and fifth terms are in GP. What is the common difference?View question
Q.681·Miscellaneous·2024·EasyThe product of 5 consecutive terms of an AP is 229635. The first, second and fifth terms are in GP. What is the sum of all five terms?View question
Q.682·Miscellaneous·2024·EasyIn a class of 240 students, 180 passed in English, 130 passed in Hindi and 150 passed in Sanskrit. Further, 60 passed in only one subject, 110 passed in only two subjects and 10 passed in none of the subjects. How many passed in all three subjects?View question
Q.683·Miscellaneous·2024·EasyIf A and B are two non-empty sets having 10 elements in common, then how many elements do A × B and B × A have in common?View question
Q.684·Miscellaneous·2024·EasyWhat is the maximum number of possible points of intersection of four straight lines and a circle (intersection is between lines as well as circle and lines)?View question