Q.4051·Miscellaneous·2021·EasyHow many 4-letter words (with or without meaning) containing two vowels can be constructed using only the letters (without repetition) of the word 'LUCKNOW'?View question
Q.4052·Miscellaneous·2021·EasySuppose 20 distinct points are placed randomly on a circle. Which of the following statements is/are correct? 1. The number of straight lines that can be drawn by joining any two of these points is 380. 2. The number of triangles that can be drawn by joining any three of these points is 1140. Select the correct answer using the code given below.View question
Q.4053·Miscellaneous·2021·EasyHow many terms are there in the expansion of ((a² / b²) + (b² / a² + 2))²¹ where a ≠ 0, b ≠ 0?View question
Q.4054·Miscellaneous·2021·EasyFor what values of k is the system of equations 2k²x + 3y – 1 = 0, 7x – 2y + 3 = 0, 6kx + y + 1 = 0 consistent?View question
Q.4055·Miscellaneous·2021·EasyThe inverse of a matrix A is given by | –2 1 | | 3/2 –1/2 | What is A equal to?View question
Q.4056·Miscellaneous·2021·EasyWhich one of the following compounds is used in 'black and white' photography?View question
Q.4057·Miscellaneous·2021·EasyConsider a regular polygon with 10 sides. What is the number of triangles that can be formed by joining the vertices which have no common side with any of the sides of the polygon?View question
Q.4058·Miscellaneous·2021·EasyLet A = | 0 2 | | –2 0 | and (mI + nA)² = A where m, n are positive real numbers and I is the identity matrix. What is (m + n) equal to?View question
Q.4059·Miscellaneous·2021·EasyLet p, q and 3 be respectively the first, third and fifth terms of an AP. Let d be the common difference. If the product (pq) is minimum, then what is the value of d?View question
Q.4060·Miscellaneous·2021·EasyConsider the following statements in respect of sets: 1. The union over intersection of sets is distributive. 2. The complement of union of two sets is equal to intersection of their complements. 3. If the difference of two sets is equal to empty set, then the two sets must be equal. Which of the above statements are correct?View question
Q.4061·Miscellaneous·2021·EasyConsider three sets X, Y and Z having 6, 5 and 4 elements respectively. All these 15 elements are distinct. Let S = (X – Y) ∪ Z. How many proper subsets does S have?View question
Q.4062·Miscellaneous·2021·EasyConsider the following statements in respect of relations and functions : 1. All relations are functions but all functions are not relations. 2. A relation from A to B is a subset of Cartesian product A × B. 3. A relation in A is a subset of Cartesian product A × A. Which of the above statements are correct?View question
Q.4063·Miscellaneous·2021·EasyLet ABC be a triangle. If cos 2A + cos 2B + cos 2C = –1 then which one of the following is correct?View question
Q.4064·Miscellaneous·2021·EasyWhat is the value of the following determinant? | cos C tan A 0 | | sin B 0 –tan A | | 0 sin B cos C |View question
Q.4068·Miscellaneous·2021·EasyWhich one of the following methods can be used to separate anthracene from a mixture of salt and anthracene?View question