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

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.
Present age of P is 15 years, and he invested Rs.4500 at 20% annual Compound Interest while Q invested Rs.5824 at 25% annual Compound Interest. When they both turn 18 years, interest amount received by both of them is same, then how old are Q at present?
A 480 L mixture of milk and water in the ratio 5: 3 If 'X' L of the mixture is replaced by water and again '(X - 24)' L of the mixture is replaced by water. If the amount of water in the final mixture is 300 L, then find the value of 'X + 15'.
Directions: Answer the questions based on the information given below.
Sonia deposited Rs. 20 and Rs. 50 notes in her piggy bank on different days of the month and used to count total number of Rs. 20 and Rs. 50 notes deposited by her in the piggy bank at the end of the month. The bar graph given below shows the percentage by which number of Rs. 50 notes in the piggy bank was more/less than number of Rs. 20 notes at the end of the given months. (Note: +ve value shows more while –ve value shows less)
Sonia deposited Rs. 20 and Rs. 50 notes in her piggy bank on different days of the month and used to count total number of Rs. 20 and Rs. 50 notes deposited by her in the piggy bank at the end of the month.
Added Information:
1. Number of Rs. 20 notes deposited in February was 42(6/7)% of total notes deposited in the same month.
2. Number of Rs. 50 notes deposited in February and March together is 35(5/13)% less than number of Rs. 20 notes deposited in February and March together.
3. Number of Rs. 20 notes deposited in April and March together is 80 more than total number of Rs. 20 notes deposited at the end of February.
4. If number of Rs. 20 notes deposited in April would have been 160 more, then number of Rs. 50 notes deposited in April would have been 26% more than number of Rs. 20 notes deposited.
5. Number of Rs. 50 notes deposited in April was 6 times more than number of Rs. 50 notes deposited in May.
6. Number of Rs. 20 notes deposited in June was 50% more than that deposited in May.
Directions: Answer the questions based on the information given below.
A train ‘T’ starts from station ‘A’ for station ‘F’. In between stations ‘A’ and ‘F’, there are four intermediate stations ‘B’, ‘C’, ‘D’ and ‘E’, respectively, in the same order. Stations ‘A’, ‘B’, ‘C’, ‘D’ and ‘E’ has quota for seats booking. The line graph given below represents the percentage distribution of quota of seats given to the respective stations out of total number of seats in the train and percentage of seats booked out of them.
A train ‘T’ starts from station ‘A’ for station ‘F’. In between stations ‘A’ and ‘F’, there are four intermediate stations ‘B’, ‘C’, ‘D’ and ‘E’, respectively
The table below represents the total vacant seats in the train after leaving the respective stations.
Stations Total vacant seats
B 562
C 494
D 514
E 472

Note:
1. When train left station A, number of vacant seats was 688 and 30% of quota seats of station A were not booked.
2. A seat can be booked for only one person from the respective stations and the same person can board the train from that station.
3. All the persons who booked tickets boarded the train.
Directions: Study the given information and answer the following questions based on it.
There are three buildings X, Y and Z in a linear row from west to east respectively such that each building has different number of floors. The floors of buildings X and Z are numbered in such a way that the ground floor is numbered 0, first floor is numbered 1, second floor is numbered 2 and so on. The floors of building Y are numbered in such a way that the ground floor is numbered 1, first floor is numbered 2, second floor is numbered 3 and so on. The topmost floor in any building is painted red and the three consecutive floors below it are painted black, white and blue respectively. The floor immediately below the blue floor is painted red and the sequence continues till the ground floor.
NOTE: (i) If the number of floors in between two floors A and B are given, then A and B are in the same building. Also, if A is immediately above/below B then, A and B are in the same building.
(ii) If floor A is in building X and is to the west of floor B, then B can be in building Y or Z and is horizontally aligned with A. In other words, if A is floor no. 5 of building X and is to the west of floor B which is in building Z, then B is also floor no. 5 of building Z.
O's floor is not numbered 0 and has two blue floors above it. Ground floor of building Z is not painted red. W is in building Y and is painted black. W has more than one floor above it. Two floors are in between H and R such that H is below R. H and E are in building X. R is painted blue. T's floor is numbered 0 and is painted with neither blue nor red. Six floors are above E. Floor L is to the east of floor V. The total number of floors in building Y is equal to the floor number of the floor immediately below L. O is painted red and there is no floor below it. G is in floor no. 9. G is neither immediately below V nor is the topmost floor of its building. D is to the immediate east of E and is painted white. Four floors painted red in building Z. N is the topmost floor of its building. The number of floors below N is twice that below D. Q is painted the same colour as E but its floor number is lower than that of E. S is immediately above Q. Two floors are in between M and S. M is not painted the same colour as H. M's floor is not numbered 0. Neither T nor G is adjacent to M.
Directions: Study the given information and answer the following questions based on it.
Eight movies A, B, C, D, E, F, G and H were released in March, April, May and June on either 11th or 30th of a month but not necessarily in the same order. All movies were released on different dates. Each of the movies was released on different OTT platforms among Netflix, Voot, Amazon prime, Zee5, Hotstar, SonyLiv, MX Player and Jio Cinema but not necessarily in the same order.
Three movies were released between C and E. Movie H was released neither on Amazon prime nor on MX Player. Two movies were released between D and H, which was released on an even number date. Movie A was released on Zee5 in the same month in which movie B was released. D was released on Voot immediately after G, which was not released on Amazon Prime. Movie F was released immediately before the movie which was released on SonyLiv. The number of movies released before movie H is same as the number of movies released after movie B, which was released on Hotstar. Movie E was released on Netflix in the month having an even number of days.
Study the given information and answer the following questions based on it.
Eight friends - Amrita, Akash, Amit, Abhay, Anisha, Akshay, Aliah and Amber are working in eight different banks - SBI, PNB, UCO, HDFC, ICICI, HSBC, IDBI and Axis bank on eight designations - Clerk, PO, Assistant Manager (AM), Manager, Chief Manager (CM), Assistant General Manager (AGM), Deputy General Manager (DGM) and General Manager (GM) but not in the same order.
Note: The designations are in ascending order such that Clerk is the junior most while the GM is the senior most in each bank.
Akash is senior to Amit but immediate Junior to the person working in PNB. Anisha works in UCO Bank but she is neither most senior nor most junior among them and she is not AGM. The number of persons senior to Amit is one more than the number of persons junior to Amrita who works in Axis Bank. More than four friends are senior to Abhay who is not a Clerk. The person working in Axis Bank is immediate senior to Abhay. Aliah is senior to Amber who is immediate junior to the person working in ICICI Bank but junior to Akash who works in SBI Bank. Neither Aliah nor Amber works in HDFC Bank. The person working in IDBI Bank is senior to Amber.
Study the given information and answer the following questions based on it.
Eight person - A, B, C, D, P, Q, R and S are born on same date and same month of eight different years - 1976, 1982, 1984, 1989, 1992, 1997, 2001 and 2007 but not in the same order. Their ages are calculated based on the year 2022 each of them has any of the Zodiac signs among - Cancer, Leo, Virgo, Libra, Gemini, Scorpius, Pisces and Aquarius.
Neither Q nor B is a Libra. The person who is a Cancer is not the oldest among all. Sum of the ages of R and B is same as sum of the ages P and A, who is not a Scorpius. C is not an Aquarius. Four persons are born between the Scorpius and the Pisces who is born immediately after R. One person is born between R and D who is a Gemini and not born in 2007. Q was born in a leap year and four persons are born between a Virgo and Q. Number of person born before the Virgo is same as the number of person born after Aquarius. Q is not a Leo.
Answer the questions based on the information given below.
There are four sellers namely Ram, Mohan, Lakhan and Raghav. Each of them has three types of articles (pen, pencil and erasers). The given table shows the sum of the cost prices (in Rs.) of each pen and pencil, difference between total cost prices (in Rs.) of all the pencils and erasers and sum of cost prices (in Rs.) of all the pens and erasers, with the respective sellers.
SellersSum of the cost price (in Rs.) of each pen and pencilCost price (in Rs.) of all pencils - Cost price (in Rs.) of all erasersSum of cost price (in Rs.) of all pens and erasers
Ram151002100
Mohan134802050
Lakhan276003000
Raghav193003300
The given bar graph shows the difference between number of pens and pencils and sum of numerical value of cost price of each pencil and number of pencils, with the respective sellers.
Graph of pens and pencil
Note : Number of pens/pencils/erasers sold by each of the given sellers is an integer.
Answer the questions based on the information given below.
The pie chart given below shows the degree distribution of total population of five different villages i.e. ‘A’, ‘B’, ‘C’, ‘D’ and ‘E’ out of total population of all the five villages together, in degree measures.
Pie Chart of Total Population
The bar graph given below shows the number of literate males and number of employed people in the respective village.
Note : Number of literate males in village ‘A’ is 512.
Graph of Literate males and employed people
Number of males in village ‘A’ is same as the number of females in village ‘D’ which is 160 more than number of illiterate people in village ‘E’. Number of females in village ‘C’ is twice the number of illiterate people in village ‘B’. 62.5% of total population of village ‘C’ is illiterate. Number of females in village ‘A’ is same as number of males in village ‘C’. Number of literate females in village ‘C’ is 105% of total number of employed people in village ‘D’. Number of males in village ‘C’ is 26% more than number of un-employed people in village ‘E’. In village ‘B’, 50% of total population are males while number of males in village ‘E’ is 160 more than number of females in it which is 32 less than number of illiterate people in village ‘A’. Number of illiterate people in village ‘D’ is 65% of number of un-employed people in village ‘B’.
There are 938 players played cricket in the world and some of them are played different-different leagues APL, BPL, and CPL in the world. There are 56 \(\frac{8}{7}\) % of players who do not play in any league.BPL has 4 more players as compare to CPL and APL have 22 players less than the CPL. The ratio between the players who play in only APL & CPL together to the players who play only BPL & CPL together is 3 : 2. The total number of players who play only in APL and BPL is equal to the sum of the players who play in only APL & CPL together and BPL & CPL together. The total number of players who play in all three leagues is 99 less than to the players who play in BPL. 40% of the players who play in all three leagues are playing in APL and CPL together. Answers the given questions based on the above information.
Answer the questions based on the information given below.
The table given below shows the total number of towels sold by a shopkeeper from Monday to Friday. Some data are given while some are missing in the table.
Note : Total number of towels sold = Number of small sized, medium sized and large sized towels sold on the particular day.
DaysTotal number of towels soldRatio of large to small sized towels soldPercentage of Medium sized towelsDifference between the number of large sized and small sized towels sold
Monday9503 : 120%-
Tuesday9003 : 2-90
Wednesday-5 : 425%70
Thursday750-20%40
Friday-4 : 340%90
A company manufactured cups of four different types. The table given below shows the number of cups of four different types manufactured by the company in four different weeks of a month.
TypesWeek IWeek IIWeek IIIWeek IVTotal
Type A26501640--8820
Type B-152016501730-
Type C3240--25508750
Type D29601220--8270
Total10730-7530--
The number of cups of type D manufactured in week IV is 480 less than the number of cups of type A manufactured in week I. The number of cups of type C manufactured in week II is 1/6 of the total number of the cups of type B manufactured. The number of cups of type A manufactured in week III is 220 more than the number of cups of type B manufactured in week I.
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
TruckTotal number
of articles to
be transported		Percentage/actual
number of articles
transported		Percentage/actual
number of articles
not transported
1--1200
2-80%-
3-450025%
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.
percentage distribution of number of balls transported
Answer the questions based on the information given below.
Five persons – Prakash, Ritik, Sahil, Tushar and Dheeraj have some notes in denomination of Rs. 20, Rs. 50 and Rs. 100 but it is not necessary that person certainly has notes of all the given three denominations with them. The ratio of total amount with Sahil and Tushar is 2:3, respectively. Total amount with Tushar is 12.5% more than that with Prakash. Total amount with Ritik is Rs. 170 less than that with Prakash and Rs. 350 less than that with Dheeraj. Dheeraj has a total of Rs. 580 with him.
Additional information:
1.) Total number of notes with Prakash is more than 10 but less than 13 and Prakash has only Rs. 20 and Rs. 50 notes. The number of Rs. 50 notes with Prakash is more than the number of Rs. 20 notes.
2.) Ritik has only Rs. 20 and Rs. 50 notes and the number of Rs. 20 notes with him is more than number of Rs. 50 notes with him.
3.) Sahil has the notes of Rs. 20 and Rs. 100 denominations only.
4.) Tushar has only Rs. 50 and Rs. 100 notes and the number of notes that Sahil has is same as the number of notes that Tushar has.
5.) Dheeraj has the notes of all three denominations and the number of Rs. 20 notes that Ritik has is same as the number of Rs. 20 notes that Dheeraj has. Total number of notes that Prakash has is same as total number of notes that Dheeraj has.
Study the given information and answer the following questions based on it.
Ten persons- I, J, K, L, M, N, O, P, Q and R were born on either on 13th or 14th of January, February, March, April and May. The persons born in January were born in 2006, persons born in February were born in 2007, persons born in March were born in 2008, and so on. The age and the birth date of a person are not the same. The age of persons is considered as of the year 2022.
O is 13 years old and was born in April. Five persons were born between O and N. Three persons were born between R and J. R is 14 years old. P was born immediately before L but not in the same month. The difference between the ages of M and Q is 3 years and 3 months. M and Q were born on the same date. I was born after Q but before K.
Study the given information and answer the following questions based on it.
Twelve persons (A to L) are living in a twelve storeyed building such that the ground floor is numbered as floor 1, the floor immediately above it is floor 2 and do on till the topmost floor is numbered as floor 12 but not in the same order.
L lives above H. D lives on an even numbered floor and immediately  above I. The sum of the floor numbers of I and C is same as the sum of the floor numbers of A and E. F lives on an odd numbered floor. G is living on an even numbered floor above floor 7 but not on the top floor. Three persons are living between G and K. B lives on a floor immediately below K and four persons live between B and J. Both A and C lives on an odd numbered floor below J but not on a floor immediate next to it.
Answer the questions based on the information given below.
There is different number of three types of pipes (‘A’, ‘B’ and ‘C’) at four different sites. The given table shows the average number of pies ‘A’ and ‘B’, ratio of number of pipe ‘A’ to that of pipe ‘C’ and difference between number of pipes ‘B’ and ‘C’, at the respective sites.
SitesAverage number of pipes ‘A’ and ‘B’Ratio of number of pipe ‘A’ to that of pipe ‘C’Difference between number of pipes ‘B’ and ‘C.
11101 : 2140
22252 : 1150
32304 : 5100
41804 : 5180
Additional information :
a.) Number of pipes of each type (‘A’, ‘B’ or ‘C’) at the respective site is neither more than 350 nor less than 100.
b.) Quantity of water pumped at each of the site by each pipe ‘B’ is 20% more than that by each of the pipe ‘A’ but 10 units less than each of the pipe ‘C’.
c.) Each unit of water from each pipe can irrigate 5 hectares of land.
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
TruckTotal number of articles to be transportedPercentage/actual number of articles transportedPercentage/actual number of articles not transported
1--1200
2-80%-
3-450025%
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
Answer the questions based on the information given below.
Sixteen different flats are in a four-floor building, whose bottommost floor is numbered as 1 and the topmost floor is numbered as 4. There are four types of flats on each floor (Flat W, Flat X, Flat Y, and Flat Z) such that flat W is in west of flat X, which is in west of flat Y, which is in west of Flat Z. Flat W of floor 1 is immediately below the flat W of floor 2, which is immediately below of flat W of floor 3 and so on, similarly, for flat X, flat Y and flat Z. All flats are of different area (in metre squares) (45, 50, 55, 60). At most four flats have the same area.
Note: Area of different flats on the same floor must be different. Ex- if area of flat W of 4th floor is (n) metre sq. then area of flat X, flat Y and flat Z on the 4th floor cannot be same as area as flat W.
The difference between area of flat W and flat X of the 2nd floor is 15 metre sq. The area of flat Z of 4th floor is more than the area of flat W of 4th floor. The sum of area of flat W of all the floors is 195 metre sq. The sum area of flat Z of all the floors is 225 metre sq. The sum of area of flat X and flat Z of the 3 rd floor The sum of area of flat W of all the floors is 195 metre sq. The sum area of flat Z of all the floors is 225 metre sq. The sum of area of flat X and flat Z of the 3rd 1st floor and flat X of 3rd floor have same area The difference between area of flat W and flat X, of the 1st floor is 5 metre sq.The sum of area of the 1st and the 4th floor of Flat Y is 110metre sq. Flat Z of 1st floor and flat X of 4th floor are of same area. The sum of area of flat X of all the floors is 210 metre sq.
Answer the questions based on the information given below.
Nine persons start a race from a particular point on a circular path. They run in a clockwise direction. Each of them stops after covering some distance on the path except one person, who completes the race i.e., he starts and ends the race at the same point. Each of them sits at the point, where they completed/stopped their race. All are facing towards the center. Also, each of them completed the race in different time (seconds). Each of them covers different distance.
Note: Running speed of every person is different. Distance covered by every person is different.
Q covered 8m more than that of T. Only two persons covered the lesser distance than that of O. R completed the race in 3.5 seconds. P covered the maximum distance among all. Two persons sit between O and S. One person sits between S and R. N sits immediate left of U, who completed the race in 2 seconds. M covered 11m more than that of R. M does not cover more distance that T and Q. P covered 17m more than T. S took 2 seconds more than O to complete the race. M sits immediate right of one, who took 8 seconds to complete the race. Person, who took 4 seconds to complete the race is immediate left of one, who took 9 seconds to complete the race. T took one-third of the time taken by Q to complete the race.
In a recent comprehensive survey of 500 employees, a company examined commuting preferences and the factors influencing transportation choices to work. The survey identified four main modes of transportation: Car, Bus, Bicycle, and Walking. Each mode revealed distinct reasons cited by employees for their preferences.
Among respondents, 40% favored commuting by Car. Key reasons included convenience and speed (60%), comfort (30%), and flexibility (10%). 25% of employees preferred the Bus. Reasons for choosing this mode included cost-effectiveness (50%), environmental concerns (30%), and availability (20%). Bicycle commuting was preferred by 20% of the surveyed employees. Reasons included health benefits (40%), environmental concerns (30%), and cost-effectiveness (30%). The remaining employees chose Walking as their preferred mode. They cited proximity to work (50%), health benefits (30%), and environmental concerns (20%) as their primary reasons.
A factory utilizes a single, continuous conveyor belt for transporting various sized components. Smaller components can be placed individually on the belt, while larger components occupy two consecutive spaces. Components are added to the first available empty space(s) on the belt. To track components, they are assigned unique identification numbers in the order they are placed on the belt. The belt's configuration at any point is represented by a sequence of component numbers (for occupied spaces) or the letter 'E' (for empty spaces). For example, a belt with components 1, 2, and 3 (where 2 is larger) followed by two empty spaces would be represented as: 1, 2, 3, E, E. The arrangement of components on the belt is dynamic as components are continuously added and removed.