Q.3097·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.3098·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.3099·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.3100·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.3101·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.3102·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.3103·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.3104·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
Q.3106·Miscellaneous·2022·EasyIf x^3 + y^3 = (10001011)2 and x + y = (1111)2, then what is (x - y)^2 + xy equal to ?View question
Q.3107·Miscellaneous·2022·EasyConsider the inequations 5x - 4y + 12 < 0, x + y < 2, x < 0 and y > 0. Which one of the following points lies in the common region ?View question
Q.3108·Miscellaneous·2022·EasyA radioactive substance decays at a rate proportional to the amount of substance present. If half of the substance decays in 100 years, then what is the decay constant (proportionality constant) ?View question
Q.3110·Miscellaneous·2022·EasyConsider the following events : 1. Establishment of the Planning Commission 2. Formation of the National Development Council (NDC) 3. Approval of the First Five-Year Plan by the NDC 4. Constitution of the National Planning Committee Which one of the following is the correct sequence of the above events?View question
Q.3111·Miscellaneous·2022·EasyWhich one of the following battles could be seen as laying the formal foundation of the British Raj in India?View question
Q.3112·Miscellaneous·2022·EasyWhere in South India did the British East India Company construct a trading post in 1639?View question
Q.3113·Miscellaneous·2022·EasyWhich of the following statements is/are correct? 1.The Dutch East India Company was formed after the formation of the British East India Company. 2.Vasco da Gama reached Calicut in 1498. Select the correct answer using the code given below.View question
Q.3114·Miscellaneous·2022·EasyIn India, a cultivable land which is left uncultivated for more than a year but less than five years is labelled asView question