CAT Actual Papers

Q1-5. All the first-year students in the computer science (CS) department in a university take both the courses (i) AI and (ii) ML. Students from other departments (non-CS students) can also take one of these two courses, but not both. Students who fail in a course get an F grade; others pass and are awarded … Read more

Q1-5. A few salesmen are employed to sell a product called TRICCEK among households in various housing complexes. On each day, a salesman is assigned to visit one housing complex. Once a salesman enters a housing complex, he can meet any number of households in the time available. However, if a household makes a complaint … Read more

Q1-4. There are 15 girls and some boys among the graduating students in a class. They are planning a get-together, which can be either a 1-day event, or a 2-day event, or a 3-day event. There are 6 singers in the class, 4 of them are boys. There are 10 dancers in the class, 4 … Read more

Q1-4. A farmer had a rectangular land containing 205 trees. He distributed that land among his four daughters – Abha, Bina, Chitra and Dipti by dividing the land into twelve plots along three rows (X,Y,Z) and four Columns (1,2,3,4) as shown in the figure below: The plots in rows X, Y, Z contained mango, teak … Read more

Set 1: Languages spoken Q1-4. In the table below the check marks indicate all languages spoken by five people: Paula, Quentin, Robert, Sally and Terence. For example, Paula speaks only Chinese and English.These five people form three teams, Team 1, Team 2 and Team 3. Each team has either 2 or 3 members. A team … Read more

Set 1: Game Show Q1-4. A new game show on TV has 100 boxes numbered 1, 2, ….., 100 in a row, each containing a mystery prize. The prizes are items of different types, a, b, c, ….., in decreasing order of value. The most expensive item is of type a, a diamond ring, and … Read more

Set 1: College Accreditation Q1-4. An agency entrusted to accredit colleges looks at four parameters: faculty quality (F), reputation (R), placement quality (P), and infrastructure (I). The four parameters are used to arrive at an overall score, which the agency uses to give an accreditation to the colleges. In each parameter, there are five possible … Read more

Set 1: Written Test A company administers a written test comprising of three sections of 20 marks each – Data Interpretation (DI), Written English (WE) and General Awareness (GA), for recruitment. A composite score for a candidate (out of 80) is calculated by doubling her marks in DI and adding it to the sum of … Read more

Set 8 : Team Project There are 21 employees working in a division, out of whom 10 are special-skilled employees (SE) and the remaining are regular skilled employees (RE). During the next five months, the division has to complete five projects every month. Out of the 25 projects, 5 projects are “challenging”, while the remaining … Read more

Set 7 : Square Layout In a square layout of size 5m × 5m, 25 equal sized square platforms of different heights are built. The heights (in metres) of individual platforms are as shown below: Individuals (all of same height) are seated on these platforms. We say an individual A can reach an individual B … Read more

Set 6 : Simple Happiness Index The simple Happiness index (SHI) of a country is computed on the basis of three parameters: social support (S), freedom to life choices (F) and corruption perception (C). Each of these three parameters is measured on a scale of 0 to 8 (integers only). A country is then categorized … Read more

Set 5 : Rural Kids Survey Q1-4. A study to look at the early learning of rural kids was carried out in a number of village spanning three states, chosen from the North East (NE), the West (W) and the South (S). 50 four-year old kids each were sampled from each of the 150 villages … Read more

Set 4 : Fast Food Joint Q1-4. Healthy Bites is a fast food joint serving three items: burgers, fries and ice cream. It has two employees Anish and Bani who prepare the items ordered by the clients. Preparation time is 10 minutes for a burger and 2 minutes for an order of ice cream. An … Read more

Set 2 : Cars Travel Route Q1-4. Four cars need to travel from Akala (A) to Bakala (B). Two routes are available, one via Mamur (M) and the other via Nanur (N). The roads from A to M, and from N to B, are both short and narrow. In each case, one car takes 6 … Read more

Set 1 : Assets Q1-4. An old woman had the following assets:(a) Rs. 70 lakh in bank deposits(b) 1 house worth Rs. 50 lakh(c) 3 flats, each worth Rs. 30 lakh(d) Certain number of gold coins , each worth Rs. 1 lakh She wanted to distribute her assets among her three children; Neeta, Seeta and … Read more