List of top Data Interpretation & Logical Reasoning (DILR) Questions on Average asked in CAT

There are 100 employees in an organization across five departments. The following table gives the department-wise distribution of average age, average basic pay and allowances. The gross pay of an employee is the sum of his/her basic pay and allowances.

Department	Number of Employees	Average Age (Years)	Average Basic Pay (Rs.)	Allowances (% of Basic Pay)
HR	5	45	5000	70
Marketing	30	35	6000	80
Finance	20	30	6500	60
Business Development	35	42	7500	75
Maintenance	10	35	5500	50

There are limited numbers of employees considered for transfer/promotion across departments. Whenever a person is transferred/promoted from a department of lower average age to a department of higher average age, he/she will get an additional allowance of 10% of basic pay over and above his/her current allowance. There will not be any change in pay structure if a person is transferred/promoted from a department with higher average age to a department with lower average age.

The average marks of the three students L, M and N is 80. Another man P enters the group of these three and makes the average 75. Now, a man Q whose marks 6 more than P, replaces M and average of the L, N, P and Q becomes 70. What is the marks of M?

In a school of more than 500 students, when the students were standing in a row of 7, 5 students were left out. When these students were standing in a row of 10, again 5 students were left out and when they were standing in a row of 15, 5 students were left out again. If each time, at least one row was formed and the number of students in the school is the least possible, then find the average of the number of rows formed in the above three cases.

Answer the questions based on the information given below.
6 trucks (numbered 1 to 6) have to transport certain number of articles (bags + balls). If an odd numbered truck fails to transport all the articles assigned to it then it is transported by next odd numbered truck and if an even numbered truck fails to transport the required number of articles then it is transported by next even numbered truck.
The given table shows the number of articles to be transported by each of the truck, percentage/actual number of articles transported out of total number of articles to be transported, percentage/actual number of articles not transported out of total number of articles to be transported, by each of the six trucks.
Note: a) Equal number of articles has to be transported by each of the trucks.
b) The number of articles which were not transported by trucks 5 and 6, together were transported by a spare truck

Truck	Total number of articles to be transported	Percentage/actual number of articles transported	Percentage/actual number of articles not transported
1	-	-	1200
2	-	80%	-
3	-	4500	25%
4	-	-	2880
5	-	60%	-
6	-	5760	-

The given pie-chart shows the percentage distribution of number of balls transported by each of the given trucks out of total number of balls transported by all trucks together. Sum of number of bags transported by given 6 trucks is 12360.

Piechart of percentage distribution of number of balls transported