Q.685·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.686·Miscellaneous·2024·EasyABCD is an isosceles trapezium and AB is parallel to DC . Let A(2, 3), B(4, 3), C(5, 1) be the vertices. What is the point of intersection of the diagonals of the trapezium?View question
Q.687·Miscellaneous·2024·EasyLet 2x^2 + 2y^2 + 2z^2 + 3x + 3y + 3z - 6 = 0 be a sphere. What is the diameter of the sphere?View question
Q.688·Miscellaneous·2024·EasyLet 2x^2 + 2y^2 + 2z^2 + 3x + 3y + 3z - 6 = 0 be a sphere. The centre of the sphere lies on the planeView 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 sum of all five terms?View question
Q.690·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.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·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.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.694·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.696·Miscellaneous·2024·EasyA differentiable function f(x) has a local maximum at x = 0. Let y = 2f(x) + ax – b. The function y has a relative maxima at x = 0 forView question
Q.697·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 minimum value of P(A) + P(B)?View question
Q.699·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.700·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.701·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.702·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