Q.4357·Miscellaneous·2021·EasyThe smallest positive integer n for which (1 - i)/(1 + i))^n = 1 where i = √-1, isView question
Q.4358·Miscellaneous·2021·EasyIf a + b + c = 4 and ab + bc + ca = 0, then what is the value of the following determinant? | a b c | | b c a | | c a b |View question
Q.4359·Miscellaneous·2021·EasyThe number of integer values of k, for which the equation 2 sin x = 2k + 1 has a solution, isView question
Q.4360·Miscellaneous·2021·EasyIf A and B are two matrices such that AB is of order n × n, then which one of the following is correct?View question
Q.4361·Miscellaneous·2021·EasyHow many matrices of different orders are possible with elements comprising all prime numbers less than 30?View question
Q.4362·Miscellaneous·2021·EasyLet A = | p q | | r s | where p, q, r and s are any four different prime numbers less than 20. What is the maximum value of the determinant?View question
Q.4363·Miscellaneous·2021·EasyIf A and B are square matrices of order 2 such that det(AB) = det(BA), then which one of the following is correct?View question
Q.4364·Miscellaneous·2021·EasyIf 1 x x+1 f(x) = ──────────────────────────────── 2x x(x - 1) x(x + 1) 3(x - 1)(x - 2) x(x + 1)(x - 1) then what is f(-1) + f(0) + f(1) equal to?View question
Q.4365·Miscellaneous·2021·EasyA chord subtends an angle 120° at the centre of a unit circle. What is the length of the chord?View question
Q.4366·Miscellaneous·2021·EasyWhat is the interior angle of a regular octagon of side length 2 cm?View question
Q.4367·Miscellaneous·2021·EasyA ladder 6 m long reaches a point 6 m below the top of a vertical flagstaff. From the foot of the ladder, the elevation of the top of the flagstaff is 75°. What is the height of the flagstaff?View question
Q.4369·Miscellaneous·2021·EasyWhat is the area of the triangle ABC with sides a = 10 cm, c = 4 cm and angle B = 30°?View question
Q.4370·Miscellaneous·2021·EasyConsider the following statements: 1.A = {1, 3, 5} and B = {2, 4, 7} are equivalent sets. 2.A = {1, 5, 9} and B = {1, 5, 5, 9, 9} are equal sets. Which of the above statements is/are correct?View question
Q.4371·Miscellaneous·2021·EasyConsider the following statements: 1. The null set is a subset of every set. 2.Every set is a subset of itself. 3.If a set has 10 elements, then its power set will have 1024 elements. Which of the above statements are correct?View question
Q.4372·Miscellaneous·2021·EasyConsider the following in respect of a complex number Z: 1. (Z⁻¹)̅ = (Z̅)⁻¹ 2. ZZ⁻¹ = |Z|² Which of the above is/are correct?View question
Q.4373·Miscellaneous·2021·EasyIf the determinant | x 1 3 | | 0 0 1 | = 0 | 1 x 4 | then what is x equal to?View question
Q.4374·Miscellaneous·2021·EasyIn this question given below are some idioms/phrases followed by four alternative meanings for each. Choose the most appropriate answer from among the options (a), (b), (c) or (d). Muddy the watersView question