Q.3097·Miscellaneous·2022·EasyLet A and B be non-singular matrices of the same order such that AB = A and BA = B. Which of the following statements is/are correct? 1.A² = A 2.AB² = A²B Select the correct answer using the code given below:View question
Q.3098·Miscellaneous·2022·EasyHow many terms are there in the expansion of ( 1+ 2/x)^9 ( 1- 2/x)^9View question
Q.3099·Miscellaneous·2022·EasyConsider the following statements in respect of the expansion of (x + y)^10: 1.Among all the coefficients of the terms, the coefficient of the 6th term has the highest value 2.The coefficient of the 3rd term is equal to the coefficient of the 9th term Which of the above statements is/are correct?View question
Q.3100·Miscellaneous·2022·EasyHow many odd numbers between 300 and 400 are there in which none of the digits is repeated?View question
Q.3101·Miscellaneous·2022·EasyHow many permutations are there of the letters of the word ‘TIGER’ in which the vowels should not occupy the even positions?View question
Q.3102·Miscellaneous·2022·EasyWhat is the value of 2(2×1) + 3(3×2×1) + 4(4×3×2×1) + 5(5×4×3×2×1) + ... + 9(9×8×7×6×5×4×3×2×1) + 2?View question
Q.3103·Miscellaneous·2022·EasyIf A = {1, 2, 3}, then how many elements are there in the power set of A?View question
Q.3104·Miscellaneous·2022·EasyIf (a + b)/2, b, (b + c)/2 are in HP, then which one of the following is correct?View question
Q.3105·Miscellaneous·2022·EasyConsider all the subsets of the set A = {1, 2, 3, 4}. How many of them are supersets of the set {4} ?View question
Q.3106·Miscellaneous·2022·EasyConsider the following statements in respect of two non-empty sets A and B : 1.x ∈ (A ∪ B) ⇒ x ∈ A or x ∈ B 2. x ∈ (A ∩ B) ⇒ x ∈ A and x ∈ B Which of the above statements is/are correct ?View question
Q.3107·Miscellaneous·2022·EasyConsider the following statements in respect of two non-empty sets A and B : 1.A ∪ B = A ∩ B iff A = B 2. A Δ B = φ iff A = B Which of the above statements is/are correct ?View question
Q.3108·Miscellaneous·2022·EasyConsider the following statements in respect of any relation R on a set A : 1.If R is reflexive, then R⁻¹ is also reflexive 2.If R is symmetric, then R⁻¹ is also symmetric 3.If R is transitive, then R⁻¹ is also transitive Which of the above statements are correct ?View question
Q.3109·Miscellaneous·2022·EasyConsider the following statements : 1.n!/3 is divisible by 6, where n > 3 2.n!/3! + 3 is divisible by 7, where n > 3 Which of the above statements is/are correct ?View question
Q.3110·Miscellaneous·2022·EasyIn how many ways can a team of 5 players be selected out of 9 players so as to exclude two particular players ?View question
Q.3111·Miscellaneous·2022·EasyIn the expansion of (x + 1/x)^2n, what is the (n + 1)th term from the end (when arranged in descending powers of x) ?View question
Q.3112·Miscellaneous·2022·EasyIf the sum of the first 9 terms of an AP is equal to sum of the first 11 terms, then what is the sum of the first 20 terms ?View question
Q.3113·Miscellaneous·2022·EasyIf the 5th term of an AP is 1/10 and its 10th term is 1, then what is the sum of first 50 terms ?View question