CAT Ratio, Mixtures & Averages questions 84 since 2017

Across the 24 CAT papers from 2017 to 2025, Ratio, Mixtures & Averages was asked 84 times, in 24 of the 24 papers. CAT asks about 3.5 Ratio, Mixtures & Averages questions per paper on average; in 2022–2025 it was 3.3 per paper, against 3.7 in the four years before (steady). Below is how often it appeared each year, the ideas CAT keeps reusing, and every question with its answer.

How many Ratio, Mixtures & Averages questions come in CAT each year?

Ratio, Mixtures & Averages ideas CAT has repeated

• Repeated replacement of a mixture: concentration × (1 − f) each time 6 questions, 2018–2025
• Transferring between two vessels and back: track each liquid 4 questions, 2019–2025
• Mixing solutions in a given ratio to find an unknown strength 5 questions, 2017–2021
• Adding a pure component to shift a mixture's concentration 3 questions, 2020–2024
• Two mixing ratios give two equations for the components' values 3 questions, 2018–2025
• Transfer between two holders changes the ratio; total stays fixed 3 questions, 2018–2025
• Adding the same amount to each changes the ratio; difference stays fixed 4 questions, 2017–2024
• Average changes when members join or leave the group 6 questions, 2017–2025
• Maximise or minimise one value given an average and distinct/bounded others 8 questions, 2018–2022
• Combined average of two groups from group sizes and averages 3 questions, 2017–2025

All Ratio, Mixtures & Averages questions, newest first

CAT 2025

• CAT 2025 Slot 3 · QA Q8 The ratio of the number of coins in boxes A and B was 17:7…
• CAT 2025 Slot 3 · QA Q12 The average salary of 5 managers and 25 engineers in a…
• CAT 2025 Slot 3 · QA Q22 Vessels A and B contain 60 litres of alcohol and 60 litres…
• CAT 2025 Slot 2 · QA Q3 The average number of copies of a book sold per day by a…
• CAT 2025 Slot 2 · QA Q13 The ratio of expenditures of Lakshmi and Meenakshi is 2 : 3…
• CAT 2025 Slot 2 · QA Q17 A mixture of coffee and cocoa, 16% of which is coffee, costs…
• CAT 2025 Slot 2 · QA Q22 A certain amount of money was divided among Pinu, Meena…
• CAT 2025 Slot 1 · QA Q9 A container holds 200 litres of a solution of acid and…
• CAT 2025 Slot 1 · QA Q11 The ratio of the number of students in the morning shift and…

CAT 2024

• CAT 2024 Slot 3 · QA Q10 A certain amount of water was poured into a 300 litre…
• CAT 2024 Slot 3 · QA Q13 The average of three distinct real numbers is 28. If the…
• CAT 2024 Slot 3 · QA Q19 Rajesh and Vimal own 20 hectares and 30 hectares of…
• CAT 2024 Slot 2 · QA Q10 A company has 40 employees whose names are listed in a…
• CAT 2024 Slot 2 · QA Q19 A vessel contained a certain amount of a solution of acid…
• CAT 2024 Slot 2 · QA Q22 When Rajesh's age was same as the present age of Garima, the…
• CAT 2024 Slot 1 · QA Q1 A fruit seller has a total of 187 fruits consisting of…
• CAT 2024 Slot 1 · QA Q6 In September, the incomes of Kamal, Amal and Vimal are in…
• CAT 2024 Slot 1 · QA Q11 There are four numbers such that average of first two…
• CAT 2024 Slot 1 · QA Q17 A glass is filled with milk. Two-thirds of its content is…

CAT 2023

• CAT 2023 Slot 3 · QA Q9 Anil mixes cocoa with sugar in the ratio 3 : 2 to prepare…
• CAT 2023 Slot 3 · QA Q12 There are three persons A, B and C in a room. If a person D…
• CAT 2023 Slot 2 · QA Q8 In a company, 20% of the employees work in the manufacturing…
• CAT 2023 Slot 2 · QA Q14 A container has 40 liters of milk. Then, 4 liters are…
• CAT 2023 Slot 1 · QA Q10 In an examination, the average marks of 4 girls and 6 boys…
• CAT 2023 Slot 1 · QA Q11 A mixture P is formed by removing a certain amount of coffee…
• CAT 2023 Slot 1 · QA Q12 The salaries of three friends Sita, Gita and Mita are…

CAT 2022

• CAT 2022 Slot 3 · QA Q4 A glass contains 500 cc of milk and a cup contains 500 cc of…
• CAT 2022 Slot 3 · QA Q5 In an examination, the average marks of students in sections…
• CAT 2022 Slot 3 · QA Q8 The arithmetic mean of all the distinct numbers that can be…
• CAT 2022 Slot 3 · QA Q13 Consider six distinct natural numbers such that the average…
• CAT 2022 Slot 2 · QA Q5 Manu earns ₹4000 per month and wants to save an average of…
• CAT 2022 Slot 2 · QA Q6 There are two containers of the same volume, first container…
• CAT 2022 Slot 2 · QA Q8 The average of a non-decreasing sequence of N numbers a_1…
• CAT 2022 Slot 2 · QA Q11 In an election, there were four candidates and 80% of the…
• CAT 2022 Slot 1 · QA Q3 A mixture contains lemon juice and sugar syrup in equal…
• CAT 2022 Slot 1 · QA Q7 The average of three integers is 13 . When a natural number…
• CAT 2022 Slot 1 · QA Q8 Pinky is standing in a queue at a ticket counter. Suppose…
• CAT 2022 Slot 1 · QA Q13 In a village, the ratio of number of males to females is 5…
• CAT 2022 Slot 1 · QA Q14 Amal buys 110 kg of syrup and 120 kg of juice, syrup being…
• CAT 2022 Slot 1 · QA Q20 The average weight of students in a class increases by 600…

CAT 2021

• CAT 2021 Slot 3 · QA Q1 If a certain weight of an alloy of silver and copper is…
• CAT 2021 Slot 3 · QA Q7 The arithmetic mean of scores of 25 students in an…
• CAT 2021 Slot 2 · QA Q4 From a container filled with milk, 9 litres of milk are… answer only
• CAT 2021 Slot 2 · QA Q7 A box has 450 balls, each either white or black, there being… answer only
• CAT 2021 Slot 2 · QA Q8 Anil, Bobby and Chintu jointly invest in a business and… answer only
• CAT 2021 Slot 2 · QA Q14 In a football tournament, a player has played a certain… answer only
• CAT 2021 Slot 2 · QA Q22 A person buys tea of three different qualities at ₹ 800, ₹… answer only
• CAT 2021 Slot 1 · QA Q7 Onion is sold for 5 consecutive months at the rate of Rs 10… answer only
• CAT 2021 Slot 1 · QA Q11 The strength of an indigo solution in percentage is equal to… answer only
• CAT 2021 Slot 1 · QA Q17 The amount Neeta and Geeta together earn in a day equals… answer only

CAT 2020

• CAT 2020 Slot 3 · QA Q6 Dick is thrice as old as Tom and Harry is twice as old as… answer only
• CAT 2020 Slot 3 · QA Q11 If a,b,c are non-zero and 14^a = 36^b = 84^c, then 6b( 1/c… answer only
• CAT 2020 Slot 3 · QA Q17 A batsman played n + 2 innings and got out on all occasions… answer only
• CAT 2020 Slot 3 · QA Q18 Two alcohol solutions, A and B, are mixed in the proportion… answer only
• CAT 2020 Slot 2 · QA Q3 In a group of 10 students, the mean of the lowest 9 scores… answer only
• CAT 2020 Slot 2 · QA Q25 A sum of money is split among Amal, Sunil and Mita so that… answer only
• CAT 2020 Slot 1 · QA Q10 The mean of all 4 digit even natural numbers of the form…
• CAT 2020 Slot 1 · QA Q24 An alloy is prepared by mixing metals A, B, C in the…
• CAT 2020 Slot 1 · QA Q26 A solution, of volume 40 litres, has dye and water in the…

CAT 2019

• CAT 2019 Slot 2 · QA Q2 The average of 30 integers is 5. Among these 30 integers… answer only
• CAT 2019 Slot 2 · QA Q16 In an examination, Rama's score was one-twelfth of the sum… answer only
• CAT 2019 Slot 2 · QA Q23 The salaries of Ramesh, Ganesh and Rajesh were in the ratio… answer only
• CAT 2019 Slot 2 · QA Q30 Ratio, Mixtures & Averages: 15 answer only
• CAT 2019 Slot 1 · QA Q23 Amala, Bina, and Gouri invest money in the ratio 3 : 4 : 5… answer only
• CAT 2019 Slot 1 · QA Q25 A chemist mixes two liquids 1 and 2. One litre of liquid 1… answer only
• CAT 2019 Slot 1 · QA Q34 Ramesh and Gautam are among 22 students who write an… answer only

CAT 2018

• CAT 2018 Slot 2 · QA Q3 There are two drums, each containing a mixture of paints A… answer only
• CAT 2018 Slot 2 · QA Q11 A 20% ethanol solution is mixed with another ethanol… answer only
• CAT 2018 Slot 2 · QA Q19 A jar contains a mixture of 175 ml water and 700 ml alcohol… answer only
• CAT 2018 Slot 2 · QA Q24 The scores of Amal and Bimal in an examination are in the… answer only
• CAT 2018 Slot 2 · QA Q29 The arithmetic mean of x, y and z is 80, and that of x, y… answer only
• CAT 2018 Slot 2 · QA Q33 Ratio, Mixtures & Averages: 3 : 10 answer only
• CAT 2018 Slot 1 · QA Q1 A trader sells 10 litres of a mixture of paints A and B… answer only
• CAT 2018 Slot 1 · QA Q5 A CAT aspirant appears for a certain number of tests. His… answer only
• CAT 2018 Slot 1 · QA Q6 Two types of tea, A and B, are mixed and then sold at Rs. 40… answer only
• CAT 2018 Slot 1 · QA Q26 Raju and Lalitha originally had marbles in the ratio 4 : 9… answer only
• CAT 2018 Slot 1 · QA Q34 In an apartment complex, the number of people aged 51 years… answer only

CAT 2017

• CAT 2017 Slot 2 · QA Q3 Bottle 1 contains a mixture of milk and water in 7 : 2 ratio… answer only
• CAT 2017 Slot 2 · QA Q6 The average height of 22 toddlers increases by 2 inches when… answer only
• CAT 2017 Slot 2 · QA Q11 If a, b, c are three positive integers such that a and b are… answer only
• CAT 2017 Slot 2 · QA Q14 Consider three mixtures - the first having water and liquid… answer only
• CAT 2017 Slot 1 · QA Q8 Suppose, C1, C2, C3, C4, and C5 are five companies. The… answer only
• CAT 2017 Slot 1 · QA Q10 A stall sells popcorn and chips in packets of three sizes… answer only
• CAT 2017 Slot 1 · QA Q14 A class consists of 20 boys and 30 girls. In the… answer only

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