Q.685·Miscellaneous·2024·EasyLet S be the line of intersection of two planes x + y + z = 1 and 2x + 3y - 4z = 8. Which of the following are the direction ratios of S?View question
Q.686·Miscellaneous·2024·EasyLet ABCDEF be a regular hexagon. If AD̄ = m BC̄ and CF̄ = n AB̄ , then what is m equal to?View question
Q.687·Miscellaneous·2024·EasyLet S be the line of intersection of two planes x + y + z = 1 and 2x + 3y - 4z = 8. If (l, m, n) are direction cosines of S, then what is the value of 43(l^2 + m^2 + n^2)?View question
Q.688·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.689·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.690·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.691·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
Q.692·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.693·Miscellaneous·2024·EasyLet P and Q be two non-void relations on a set A. Which of the following statements are correct? I. P and Q are reflexive ⟹ P ∩ Q is reflexive. II. P and Q are symmetric ⟹ P ∪ Q is symmetric. III. P and Q are transitive ⟹ P ∩ Q is transitive. Select the answer using the code given below.View question
Q.695·Miscellaneous·2024·EasyLet A and B be two events such that P(AUB) ≥ 0-75 and 0-125 < P(ANB) 0-375. What is the maximum value of P(A) + P(B)?View question
Q.696·Miscellaneous·2024·EasyA, B and C are three events such that P(A) = 0-6, P(B) = 0-4, P(C) = 0-5, P(AUB) = 0-8, P(ANC) = 0-3 and P(ANBNC) = 0-2 and P(AUBUC) > 0-85. What is the minimum value of P(B|C)?View question
Q.697·Miscellaneous·2024·EasyA, B and C are three events such that P(A) = 0-6, P(B) = 0-4, P(C) = 0-5, P(AUB) = 0-8, P(ANC) = 0-3 and P(ANBNC) = 0-2 and P(AUBUC) > 0-85. What is the maximum value of P(B|C)?View question
Q.698·Miscellaneous·2024·EasyAn unbiased coin is tossed n times. The probability of getting at least one tail is p and the probability of at least two tails is q and p - q = 5/32 What is the value of p + q ?View question
Q.699·Miscellaneous·2024·EasyAn edible oil is sold at the rates 150, 200, 250, 300 rupees per litre in four consecutive years. Assuming that an equal amount of money is spent on oil by a family in every year during these years, what is the average price of oil in rupees (approximately) per litre?View question
Q.700·Miscellaneous·2024·EasyIf the letters of the word "TIRUPATI" are written down at random, then what is the probability that both Ts are consecutive?View question
Q.701·Miscellaneous·2024·EasyLet m = 77n. The index n is given a positive integral value at random. What is the probability that the value of m will have 1 in the units place?View question
Q.702·Miscellaneous·2024·EasyIf two random variables X and Y are connected by relation 2X - 3Y = 4 and X follows Binomial distribution with parameters n = 10 and p = 1/2, then what is the variance of Y?View question