Question 1: Recurrence Relation If x₀ = 1, x₁ = 2, andxₙ₊₂ = (1 + xₙ₊₁) / xₙ for n = 0, 1, 2, …,then what is the value of x₂₀₂₁? Options: Answer:We calculate the first few values using the recurrence: From x₄ onward, the values repeat in a cycle: [1, 1, 2, 3, 2]This … Read more
Ganga, Kaveri, and Narmada are three women who buy four raw materials (Mango, Apple, Banana and Milk) and sell five finished products (Mango smoothie, Apple smoothie, Banana smoothie, Mixed fruit smoothie and Fruit salad). Table-1 gives information about the raw materials required to produce the five finished products. One unit of a finished product requires … Read more
The horizontal bars in the above diagram represent 2020 aggregate sales (in Rs. million) of a company for the different subcategories of its products. The top four product subcategories (Bookcases, Chairs, Furnishings, Tables) belong to furniture product category; the bottom four product subcategories (Accessories, Copiers, Machines, Phones) belong to the technology product category while all … Read more
The passage below is accompanied by a set of questions. Choose the best answer to each question. Today we can hardly conceive of ourselves without an unconscious. Yet between 1700 and 1900, this notion developed as a genuinely original thought. The “unconscious” burst the shell of conventional language, coined as it had been to embody … Read more
The passage below is accompanied by a set of questions. Choose the best answer to each question. The sleights of hand that conflate consumption with virtue are a central theme in A Thirst for Empire, a sweeping and richly detailed history of tea by the historian Erika Rappaport. How did tea evolve from an obscure … Read more
The passage below is accompanied by a set of questions. Choose the best answer to each question. Mode of transportation affects the travel experience and thus can produce new types of travel writing and perhaps even new “identities.” Modes of transportation determine the types and duration of social encounters; affect the organization and passage of … Read more
The passage below is accompanied by a set of questions. Choose the best answer to each question. The claims advanced here may be condensed into two assertions: [first, that visual] culture is what images, acts of seeing, and attendant intellectual, emotional, and perceptual sensibilities do to build, maintain, or transform the worlds in which people … Read more
Each of the bottles mentioned in this question contains 50 ml of liquid. The liquid in any bottle can be 100% pure content (P) or can have certain amount of impurity (I). Visually it is not possible to distinguish between P and I. There is a testing device which detects impurity, as long as the … Read more
Three reviewers Amal, Bimal, and Komal are tasked with selecting questions from a pool of 13 questions (Q01 to Q13). Questions can be created by external “subject matter experts” (SMEs) or by one of the three reviewers. Each of the reviewers either approves or disapproves a question that is shown to them. Their decisions lead … Read more
The figure above shows the schedule of four employees – Abani, Bahni, Danni and Tinni – whom Dhoni supervised in 2020. Altogether there were five projects which started and concluded in 2020 in which they were involved. For each of these projects and for each employee, the starting day was at the beginning of a … Read more
10 players – P1, P2, … , P10 – competed in an international javelin throw event. The number (after P) of a player reflects his rank at the beginning of the event, with rank 1 going to the topmost player. There were two phases in the event with the first phase consisting of rounds 1, … Read more
The game of Chiango is a game where two people play against each other; one of them winsand the other loses, i.e., there are no drawn Chango games. 12 players participated in aChango championship. They were divided into four groups: Group A consisted of Aruna, Azul,and Arif; Group B consisted of Brinda, Brij, and Biju; … Read more
Ravi works in an online food-delivery company. After each delivery, customers rate Ravi on each of four parameters – Behaviour, Packaging, Hygiene, and Timeliness, on a scale from 1 to 9. If the total of the four rating points is 25 or more, then Ravi gets a bonus of ₹20 for that delivery . Additionally, … Read more
The different bars in the diagram above provide information about different orders invarious categories (Art, Binders, ….) that were booked in the first two weeks of Septemberof a store for one client. The colour and pattern of a bar denotes the ship mode (First Class/ Second Class / Standard Class). The left end point of … Read more
Solve the questions based on this data. Ten objects o1, o2, …, o10 were distributed among Amar, Barat, Charles, Disha, and Elise. Each item went to exactly one person. Each person got exactly two of the items, and this pair of objects is called her/his bundle. The following table shows how each person values each … Read more
1. In a football tournament, a player has played a certain number of matches and 10more matches are to be played. If he scores a total of one goal over the next 10matches, his overall average will be 0.15 goals per match. On the other hand, if he scores a total of two goals over … Read more
Solve the following CAT 2021 questions using “x” maro G strategy. f(x) = x^2+2x−15/x^2−7x−18 is negative if and only if Question 2 : The number of integers n that satisfy the inequalities |n – 60| < |n – 100| < |n – 20| is. Question 3 : If r is a constant such that |x2 – 4 x … Read more
The game of Chango is a game where two people play against each other; one of them wins and the other loses, i.e., there are no drawn Chango games. 12 players participated in a Chango championship. They were divided into four groups: Group A consisted of Aruna, Azul, and Arif; Group B consisted of Brinda, … Read more
Amudha, Bharatan, Chandran, Dhinesh, Ezhil, Fani and Gowtham are seven people in a town. Any pair of them could either be strangers, acquaintances, or friends. All relationships are mutual. For example, if Amudha is a friend of Bharatan, then Bharatan is also a friend of Amudha. Similarly, if Amudha is a stranger to Bharatan, then … Read more