CAT Averages, Mixture and Alligation previous year questions

36 Averages, Mixture and Alligation questions from CAT 2021–2025 (Quant), each with its answer and a step-by-step solution.

• Q9A container holds 200 litres of a solution of acid and water, having 30% acid by volume. Atul replaces 20% of this…CAT 2025 Slot 1 · Quant · Averages, Mixture and Alligation
• Q3The average number of copies of a book sold per day by a shopkeeper is 60 in the initial seven days and 63 in the…CAT 2025 Slot 2 · Quant · Averages, Mixture and Alligation
• Q17A mixture of coffee and cocoa, 16% of which is coffee, costs ₹240 per kg. Another mixture of coffee and cocoa, of…CAT 2025 Slot 2 · Quant · Averages, Mixture and Alligation
• Q12The average salary of 5 managers and 25 engineers in a company is 60000 ₹. If each of the managers received 20% salary…CAT 2025 Slot 3 · Quant · Averages, Mixture and Alligation
• Q22Vessels A and B contain 60 litres of alcohol and 60 litres of water, respectively. A certain volume is taken out from…CAT 2025 Slot 3 · Quant · Averages, Mixture and Alligation
• Q11There are four numbers such that average of first two numbers is 1 more than the first number, average of first three…CAT 2024 Slot 1 · Quant · Averages, Mixture and Alligation
• Q17A glass is filled with milk. Two-thirds of its content is poured out and replaced with water. If this process of…CAT 2024 Slot 1 · Quant · Averages, Mixture and Alligation
• Q10A company has 40 employees whose names are listed in a certain order. In the year 2022, the average bonus of the first…CAT 2024 Slot 2 · Quant · Averages, Mixture and Alligation
• Q19A vessel contained a certain amount of a solution of acid and water. When 2 litres of water was added to it, the new…CAT 2024 Slot 2 · Quant · Averages, Mixture and Alligation
• Q10A certain amount of water was poured into a 300 litre container and the remaining portion of the container was filled…CAT 2024 Slot 3 · Quant · Averages, Mixture and Alligation
• Q13The average of three distinct real numbers is 28. If the smallest number is increased by 7 and the largest number is…CAT 2024 Slot 3 · Quant · Averages, Mixture and Alligation
• Q10In an examination, the average marks of 4 girls and 6 boys is 24. Each of the girls has the same marks while each of…CAT 2023 Slot 1 · Quant · Averages, Mixture and Alligation
• Q11A mixture P is formed by removing a certain amount of coffee from a coffee jar and replacing the same amount with…CAT 2023 Slot 1 · Quant · Averages, Mixture and Alligation
• Q8In a company, 20% of the employees work in the manufacturing department. If the total salary obtained by all the…CAT 2023 Slot 2 · Quant · Averages, Mixture and Alligation
• Q14A container has 40 liters of milk. Then, 4 liters are removed from the container and replaced with 4 liters of water.…CAT 2023 Slot 2 · Quant · Averages, Mixture and Alligation
• Q16If a certain amount of money is divided equally among n persons, each one receives ₹352. However, if two persons…CAT 2023 Slot 2 · Quant · Averages, Mixture and Alligation
• Q9Anil mixes cocoa with sugar in the ratio 3:2 to prepare mixture A, and coffee with sugar in the ratio 7:3 to prepare…CAT 2023 Slot 3 · Quant · Averages, Mixture and Alligation
• Q12There are three persons A, B and C in a room. If a person D joins the room, the average weight of the persons in the…CAT 2023 Slot 3 · Quant · Averages, Mixture and Alligation
• Q3A mixture contains lemon juice and sugar syrup in equal proportion. If a new mixture is created by adding this mixture…CAT 2022 Slot 1 · Quant · Averages, Mixture and Alligation
• Q7The average of three integers is 13. When a natural number n is included, the average of these four integers remains…CAT 2022 Slot 1 · Quant · Averages, Mixture and Alligation
• Q20The average weight of students in a class increases by 600 gm when some new students join the class. If the average…CAT 2022 Slot 1 · Quant · Averages, Mixture and Alligation
• Q5Manu earns ₹4000 per month and wants to save an average of ₹550 per month in a year. In the first nine months, his…CAT 2022 Slot 2 · Quant · Averages, Mixture and Alligation
• Q6There are two containers of the same volume, first container half-filled with sugar syrup and the second container…CAT 2022 Slot 2 · Quant · Averages, Mixture and Alligation
• Q8The average of a non-decreasing sequence of N numbers a_1 , a_2 , ..., a_N is 300. If a_1 is replaced by 6a_1 , the…CAT 2022 Slot 2 · Quant · Averages, Mixture and Alligation
• Q16Five students, including Amit, appear for an examination in which possible marks are integers between 0 and 50, both…CAT 2022 Slot 2 · Quant · Averages, Mixture and Alligation
• Q4A glass contains 500 cc of milk and a cup contains 500 cc of water. From the glass, 150 cc of milk is transferred to…CAT 2022 Slot 3 · Quant · Averages, Mixture and Alligation
• Q5In an examination, the average marks of students in sections A and B are 32 and 60, respectively. The number of…CAT 2022 Slot 3 · Quant · Averages, Mixture and Alligation
• Q13Consider six distinct natural numbers such that the average of the two smallest numbers is 14, and the average of the…CAT 2022 Slot 3 · Quant · Averages, Mixture and Alligation
• Q9The strength of an indigo solution in percentage is equal to the amount of indigo in grams per 100 cc of water. Two…CAT 2021 Slot 1 · Quant · Averages, Mixture and Alligation
• Q13Onion is sold for 5 consecutive months at the rate of ₹10, ₹20, ₹25, ₹25, and ₹50 per kg, respectively. A family…CAT 2021 Slot 1 · Quant · Averages, Mixture and Alligation
• Q15Suppose hospital A admitted 21 less Covid infected patients than hospital B, and all eventually recovered. The sum of…CAT 2021 Slot 1 · Quant · Averages, Mixture and Alligation
• Q4From a container filled with milk, 9 litres of milk are drawn and replaced with water. Next, from the same container,…CAT 2021 Slot 2 · Quant · Averages, Mixture and Alligation
• Q14In a football tournament, a player has played a certain number of matches and 10 more matches are to be played. If he…CAT 2021 Slot 2 · Quant · Averages, Mixture and Alligation
• Q22A person buys tea of three different qualities at ₹800, ₹500, and ₹300 per kg, respectively, and the amounts bought…CAT 2021 Slot 2 · Quant · Averages, Mixture and Alligation
• Q1If a certain weight of an alloy of silver and copper is mixed with 3 kg of pure silver, the resulting alloy will have…CAT 2021 Slot 3 · Quant · Averages, Mixture and Alligation
• Q7The arithmetic mean of scores of 25 students in an examination is 50. Five of these students top the examination with…CAT 2021 Slot 3 · Quant · Averages, Mixture and Alligation