Averages (IPMAT/JIPMAT) - Free PYQs + Solutions | AfterBoards
IPMAT Indore Free Mocks Topic Tests

Averages - Past Year Questions

Filter & Analyse PYQs (Topic-Wise) →
Past Year Papers with Solutions filter tool

Q1:

The following table shows the number of employees and their median age in eight companies located in a district.
CompanyNumber of employeesMedian age
A3224
B2830
C4339
D3945
E3549
F2954
G2359
H1663
It is known that the age of all employees are integers. It is known that the age of every employee in A is strictly less than the age of every employee in B, the age of every employee in B is strictly less than the age of every employee in C, ..., the age of every employee in G is strictly less than the age of every employee in H.
The highest possible age of an employee of company A is:
29
Correct Answer
Explanation →

Q2:

The following table shows the number of employees and their median age in eight companies located in a district.
CompanyNumber of employeesMedian age
A3224
B2830
C4339
D3945
E3549
F2954
G2359
H1663
It is known that the age of all employees are integers. It is known that the age of every employee in A is strictly less than the age of every employee in B, the age of every employee in B is strictly less than the age of every employee in C, ..., the age of every employee in G is strictly less than the age of every employee in H.
The median age of employees across the eight companies is:
45
Correct Answer
Explanation →

Q3:

The following table shows the number of employees and their median age in eight companies located in a district.
CompanyNumber of employeesMedian age
A3224
B2830
C4339
D3945
E3549
F2954
G2359
H1663
It is known that the age of all employees are integers. It is known that the age of every employee in A is strictly less than the age of every employee in B, the age of every employee in B is strictly less than the age of every employee in C, ..., the age of every employee in G is strictly less than the age of every employee in H.
In company F, the lowest possible sum of the ages of all employees is:
1510
Correct Answer
Explanation →

Q4:

Let 50 distinct positive integers be chosen such that the highest among them is 100, and the average of the largest 25 integers among them exceeds the average of the remaining integers by 50. Then the maximum possible value of the sum of all the 50 integers is _________.
3150
Correct Answer
Explanation →

Q5:

A class consists of 30 students. Each of them has registered for 5 courses. Each course instructor conducts an exam out of 200 marks. The average percentage marks of all 30 students across all courses they have registered for, is 80%. Two of them apply for revaluation in a course. If none of their marks reduce, and the average of all 30 students across all courses becomes 80.02%, the maximum possible increase in marks for either of the 2 students is
6
Correct Answer
Explanation →

Q6:

The average marks of 6 students in a test is 64. All the students got different marks, one of the students obtained 70 marks and all other students scored 40 or above. The maximum possible difference between the second highest and the second lowest marks is
Answer options
Option: 2
Correct Answer
Explanation →

Q7:

The average of five distinct integers is 110 and the smallest number among them is 100. The maximum possible value of the largest integer is
144
Correct Answer
Explanation →

Q8:

The average of five consecutive numbers is a. If the next two numbers are also included, how will the average vary?
Answer options
Option: 1
Correct Answer
Explanation →

Q9:

Which of the following statements are True?

  • A. The mean of x, y, z is y. Then x + z = 2y.
  • B. Median of 15, 28, 72, 56, 44, 32, 31, 43 and 51 is 43.
  • C. Mode of 2, 3, 4, 5, 0, 1, 3, 3, 4, and 3 is 3.

Choose the correct answer from the options given below:

Answer options
Option: 4
Correct Answer
Explanation →

Q10:

The mean of 25 observations is 36. If the mean of the first 13 observations is 32 and that of the last 13 observations is 39, then the 13th observation is:

Answer options
Option: 2
Correct Answer
Explanation →

Q11:

List IList IIA. Mean of first five prime numbers isI. 12B. Mean of all factors of 24 isII. 7.5C. Mean of first six multiples of 4 isIII. 5.6D. If the mean of x−5y,x−3y,x−y,x+y,x+3y and x+5y is 12, then x isIV. 14\begin{array}{|c|c|c|} \hline \textbf{List I} & \textbf{List II} \\ \hline \text{A. Mean of first five prime numbers is} & \text{I. 12} \\ \hline \text{B. Mean of all factors of 24 is} & \text{II. 7.5} \\ \hline \text{C. Mean of first six multiples of 4 is} & \text{III. 5.6} \\ \hline \text{D. If the mean of } x - 5y, x - 3y, x - y, \\x + y, x + 3y \text{ and } x + 5y \text{ is 12, then } x \text{ is} & \text{IV. 14} \\ \hline \end{array}
Match List I with List II. Choose the correct answer from the options given below:
Answer options
Option: 2
Correct Answer
Explanation →

Q12:

If the mean of aa, bb, and cc is MM; ab+bc+ca=0ab + bc + ca = 0; and the mean of a2a^2, b2b^2 and c2c^2 is KM2KM^2, then KK is equal to
Answer options
Option: 1
Correct Answer
Explanation →

Q13:

In a cricket team of 11 players, the average age is 28 years. Out of these, the average ages of three groups of three players each are 25 years, 28 years, and 30 years respectively. If in these groups, the captain and the youngest player are not included and the captain is eleven years older than the youngest player, then the age of the captain is
Answer options
Option: 3
Correct Answer
Explanation →

Q14:

Imagine that there are four hundred and fifty nine managers in a hotel. If the number of managers is enlarged by 36, the expenses of the food increased by Rs. eighty one per day while the average spending per head decreased by one. Find the original spending of the hotel on food?
Answer options
Option: 1
Correct Answer
Explanation →

Q15:

The average age of a group of 9 friends is 22 years. LAVGIR is the youngest and his age is 6 years, then what happened to be the average age of the family just before LAVGIR was born?
Answer options
Option: 1
Correct Answer
Explanation →

Q16:

Average stipend of summer internship of an institute is Rs. 20000 per month. Recently the institute announced increment of Rs. 2000 per month for all the students. The new average stipend of students will now be?
Answer options
Option: 1
Correct Answer
Explanation →

Q17:

The average presence of employees of a company for yoga sessions in an office on Monday, Tuesday and Wednesday is thirty two and on the Wednesday, Thursday, Friday and Saturday is thirty. If the average number of employees on all the six days is twenty six then the number of employees who attended the sessions on Wednesday is?
Answer options
Option: 3
Correct Answer
Explanation →

Q18:

The average spending of Lata Mangeshkar for the part of week from Monday to Saturday is Rs. 4200. She spent Rs. 1200 on Monday and Rs. 1500 on Sunday that week. The average spending for the part of week from Tuesday to Sunday that week is?
Answer options
Option: 3
Correct Answer
Explanation →

Averages - Past Year Questions (Free PDF Download)

Practice with our comprehensive collection of Averages Past Year Questions (PYQs of IPMAT Indore, IPMAT Rohtak & JIPMAT) with detailed solutions. These questions are carefully curated from previous year papers to help you understand the exam pattern and improve your preparation.

Our free resources include handwritten solutions for all questions, making it easier to understand the concepts and approach. Use these PYQs to assess your preparation level and identify areas that need more focus. No login required. Compilation of IPMAT Indore, IPMAT Rohtak & JIPMAT Questions!