CAT Averages Questions with Solutions PDF Download

Averages questions account for nearly 4 per cent to 6 per cent of the entire CAT question paper directly, and up to 15 per cent indirectly. A good hold on Averages can help candidates obtain a good score in the Quantitative Aptitude as well as Data Interpretation and Logical Reasoning (DILR) sections. In each session of the CAT exam, candidates can expect 1 to 2 direct questions.

In the CAT exam, apart from the direct Averages questions, candidates will find Averages as a foundation to assess data analysis skills and logical reasoning. Candidates find CAT Averages questions on Simple Averages, Weighted Averages, and Mixtures and Alligations. A good hold on Averages also helps in advanced CAT topics like Profit and Loss, Time and Work, and DILR Applications such as Data Interpretation growth rates, average sales calculation, and table-based missing data problems.

This article hosts some CAT Averages questions with solutions PDFs. Candidates can practice these CAT Averages questions with varied difficulty levels for a holistic preparation for the CAT 2026 exam.

CAT Averages Sample Questions with Solutions

Difficulty Level: Easy 

Question 1: The average salary of 5 managers and 25 engineers in a company is 60000 rupees. If each of the managers received 20% salary increase while the salary of the engineers remained unchanged, the average salary of all 30 employees would have increased by 5%. The average salary, in rupees, of the engineers is 

Options:

1. 50000

2. 45000

3. 40000

4. 54000

Difficulty Level: Medium 

Question 2: The average weight of students in a class increases by 600 gm when some new students join the class. If the average weight of the new students is 3 kg more than the average weight of the original students, then the ratio of the number of original students to the number of new students is 

Options:

1. 1 : 4

2. 1 : 2

3. 4 : 1

4. 3 : 1

Question 3: The salaries of three friends Sita, Gita and Mita are initially in the ratio 5 : 6 : 7, respectively. In the first year, they get salary hikes of 20%, 25% and 20%, respectively. In the second year, Sita and Mita get salary hikes of 40% and 25%, respectively, and the salary of Gita becomes equal to the mean salary of the three friends. The salary hike of Gita in the second year is 

Options:

1. 26%

2. 30%

3. 28%

4. 25%

Difficulty Level: Hard 

Question 4: In a group of 10 students, the mean of the lowest 9 scores is 42 while the mean of the highest 9 scores is 47. For the entire group of 10 students, the maximum possible mean exceeds the minimum possible mean by Options:

1. 5

2. 4

3. 6

4. 3

Question 5: In an examination, the average marks of 4 girls and 6 boys is 24. Each of the girls has the same marks while each of the boys has the same marks. If the marks of any girl is at most double the marks of any boy, but not less than the marks of any boy, then the number of possible distinct integer values of the total marks of 2 girls and 6 boys is 

Options:

1. 21

2. 19

3. 20

4. 22