The passage below is accompanied by a set of questions. Choose the best answer to each question. The word ‘anarchy’ comes from the Greek anarkhia, meaning contrary to authority or without a ruler, and was used in a derogatory sense until 1840, when it was adopted by Pierre-Joseph Proudhon to describe his political and social … Read more
Will a day come when India’s poor can access government services as easily as drawing cash from an ATM? No country in the world has made accessing education or health or policing or dispute resolution as easy as an ATM, because the nature of these activities requires individuals to use their discretion in a positive … Read more
Plastic Pollution Recycling plastic is to saving the Earth what hammering a nail is to halting a falling skyscraper. You struggle to find a place to do it and feel pleased when you succeed. But your effort is wholly inadequate and distracts from the real problem of why the building is collapsing in the first … Read more
Passage 1: Creativity Creativity is at once our most precious resource and our most inexhaustible one. As anyone who has ever spent any time with children knows, every single human being is born creative; every human being is innately endowed with the ability to combine and recombine data, perceptions, materials and ideas, and devise new … Read more
Passage 1: Map Making Understanding where you are in the world is a basic survival skill, which is why we, like most species come hard-wired with specialized brain areas to create cognitive maps of our surroundings. Where humans are unique, though, with the possible exception of honeybees, is that we try to communicate this understanding … Read more
Bureaucracy Around the world, capital cities are disgorging bureaucrats. In the post-colonial fervour of the 20th century, coastal capitals picked by trade-focused empires were spurned for “regionally neutral” new ones . . . . But decamping wholesale is costly and unpopular; governments these days prefer piecemeal dispersal. The trend reflects how the world has changed. … Read more
Set 3 : Common Entrance Test Q1-4. Applicants for the doctoral programmes of Ambi Institute of Engineering (AIE) and Bambi Institute of Engineering (BIE) have to appear for a Common Entrance Test (CET). The test has three sections: Physics (P), Chemistry (C), and Maths (M). Among those appearing for CET, those at or above the … Read more
Set 1: Airlines Company Q1-4. A new airlines company is planning to start operations in a country. The company has identified ten different cities which they plan to connect through their network to start with. The flight duration between any pair of cities will be less than one hour. To start operations, the company has … Read more
Tale of Aladdin In the past, credit for telling the tale of Aladdin has often gone to Antoine Galland . . . the first European translator of . . . Arabian Nights [which] started as a series of translations of an incomplete manuscript of a medieval Arabic story collection. . . But, though those tales … Read more
If a 4 digit number is formed with digits 1, 2, 3 and 5. What is the probability that the number is divisible by 25, if repetition of digits is not allowed? (a) 1/12 (b) 1/4 (c) 1/6 (d) None of these Data is provided followed by two statements – I and II – both … Read more
CAT 2018 QA Slot 2 | Modern Math – Sets CAT Question1. If A = {62n – 35n – 1: n = 1, 2, 3, …} and B = {35(n – 1) : n = 1,2,3,…} then which of the following is true? A Every member of A is in B and at least one … Read more
CAT 2022 QA Slot 1 | Modern Math – Permutation & Combination CAT QuestionThe number of ways of distributing 20 identical balloons among 4 children such that each child gets some balloons but no child gets an odd numbe of balloons, is CAT 2022 QA Slot 2 | Modern Math – Permutation & Combination CAT … Read more
Let ABCD be a parallelogram such that the coordinates of its three vertices A, B, C are (1, 1), (3, 4) and (−2, 8), respectively. Then, the coordinates o the vertex D are (a) (4, 5) (b) (0, 11) (c) (-4, 5) (d) (-3, 4) The points (2, 1) and (-3, -4) are opposite vertices … Read more
CAT 2022 Slot 3 Question1- The minimum possible value of x^2−6x+10/3−x, for x<3, is A.1/2 B.−1/2 C.2 D.−2 CAT 2022 Slot 2 Question 2- Suppose for all integers x, there are two functions f and g such that f(x)+f(x−1)−1=0 and g(x)=x^2. If f(x^2−x)=5, then the value of the sum f(g(5))+g(f(5)) is CAT 2022 Slot 2 Question … Read more
CAT 2022 Slot 2 Question 1- On day one, there are 100 particles in a laboratory experiment. On day n, where n≥2, one out of every n particles produces another particle. If the total number of particles in the laboratory experiment increases to 1000 on day m, then m equals A.19 B.16 C.17 D.18 CAT … Read more
CAT 2022 Slot 2 Question 1- The number of distinct integer values of n satisfying 4−log^2n/3−log4^n<0, is CAT 2021 Slot 3 Question 2- For a real number a, if log15^a+log32^a/(log15a)(log32a)= = 4 then a must lie in the range A.4 < a < 5 B.3 < a < 4 C.a > 5 D.2 < a < … Read more
CAT 2021 Slot 3 Question 1- The number of distinct pairs of integers (m, n) satisfying |1+mn| < |m+n| < 5 is CAT 2021 Slot 2 Question 2- For all possible integers n satisfying 2.25 ≤ 2 + 2^n + 2 ≤ 202, the number of integer values of 3 + 3^n + 1 is CAT … Read more
CAT 2022 Slot 3 Question 1- Suppose k is any integer such that the equation 2x^2+kx+5=0 has no real roots and the equation x^2+(k−5)x+1=0 has two distinct real roots for x . Then, the number of possible values of k is A.7 B.8 C.9 D.13 CAT 2022 Slot 3 Question 2- A donation box can … Read more
CAT Questions on Geometry – Circles 1. CAT 2022 QA Slot 1 | Geometry – Circles CAT Question All the vertices of a rectangle lie on a circle of radius R. If the perimeter of the rectangle is P, then the area of the rectangle is: (a) P^2/8 – 2PR (b) P^2/8- 2R^2 (c) P^2/8- … Read more
(a) 4√6 (b) √6 (c) 6√6 (d) 2√6 (a) 3√π( 56 ) (b) 4√π(3 + 9 )(c) 3√π(5 + 12 )(d) 5√π(3 + 9 ) (a) 256 (b) 232 (c) 264 (d) 243 (a) √3 : 2 (b) 2 : √5 (c) 1 : √3 (d) √2 : √3 (a) 10√2 (b) 8√3 (c) 12 … Read more