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

A new airlines company is planning to start operations in a country. The company has identified ten different cities which they plan to connect through their network to start with. The flight duration between any pair of cities will be less than one hour. To start operations, the company has to decide on a daily schedule.
The underlying principle that they are working on is the following:
Any person staying in any of these 10 cities should be able to make a trip to any other city in the morning and should be able to return by the evening of the same day.

Four cars need to travel from Akala (A) to Bakala (B). Two routes are available, one via Mamur (M) and the other via Nanur (N). The roads from A to M, and from N to B, are both short and narrow. In each case, one car takes 6 minutes to cover the distance, and each additional car increases the travel time per car by 3 minutes because of congestion. (For example, if only two cars drive from A to M, each car takes 9 minutes.) On the road from A to N, one car takes 20 minutes, and each additional car increases the travel time per car by 1 minute. On the road from M to B, one car takes 20 minutes, and each additional car increases the travel time per car by 0.9 minute. The police department orders each car to take a particular route in such a manner that it is not possible for any car to reduce its travel time by not following the order, while the other cars are following the order.

Funky Pizzaria was required to supply pizzas to three different parties. The total number of pizzas it had to deliver was 800, 70% of which were to be delivered to Party 3 and the rest equally divided between Party 1 and Party 2.
Pizzas could be of Thin Crust (T) or Deep Dish (D) variety and come in either Normal Cheese (NC) or Extra Cheese (EC) versions. Hence, there are four types of pizzas: T-NC, T-EC, D-NC and D-EC. Partial information about proportions of T and NC pizzas ordered by the three parties is given below:

There were seven elective courses - El to E7 - running in a specific term in a college. Each of the 300 students enrolled had chosen just one elective from among these seven. However, before the start of the term, E7 was withdrawn as the instructor concerned had left the college. The students who had opted for E7 were allowed to join any of the remaining electives. Also, the students who had chosen other electives were given one chance to change their choice. The table below captures the movement of the students from one elective to another during this process. Movement from one elective to the same elective simply means no movement. Some numbers in the table got accidentally erased; however, it is known that these were either 0 or 1.
Further, the following are known:
1. Before the change process there were 6 more students in E1 than in E4, but after the reshuffle, the number of students in E4 was 3 more than that in E1.
2. The number of students in E2 increased by 30 after the change process.
3. Before the change process, E4 had 2 more students than E6, while E2 had 10 more students than E3.

An old woman had the following assets:
(a) Rs. 70 lakh in bank deposits
(b) 1 house worth Rs. 50 lakh
(c) 3 flats, each worth Rs. 30 lakh
(d) Certain number of gold coins, each worth Rs. 1 lakh
She wanted to distribute her assets among her three children; Neeta, Seeta and Geeta. The house, any of the flats or any of the coins were not to be split. That is, the house went entirely to one child; a flat went to one child and similarly, a gold coin went to one child.
Among the three, Neeta received the least amount in bank deposits, while Geeta received the highest. The value of the assets was distributed equally among the children, as were the gold coins.

At a management school, the oldest 10 dorms, numbered 1 to 10, need to be repaired urgently, The following diagram represents the estimated repair costs (in Rs. Crores) for the 10 dorms. For any dorm, the estimated repair cost (in Rs. Crores) is an integer. Repairs with estimated cost Rs. 1 or 2 Crores are considered light repairs, repairs with estimated cost Rs. 3 or 4 are considered moderate repairs and repairs with estimated cost Rs. 5 or 6 Crores are considered extensive repairs.
Further, the following are known: 1. Odd-numbered dorms do not need light repair; even-numbered dorms do not need moderate repair and dorms, whose numbers are divisible by 3, do not need extensive repair. 2. Dorms 4 to 9 all need different repair costs, with Dorm 7 needing the maximum and Dorm 8 needing the minimum.

A tea taster was assigned to rate teas from six different locations - Munnar, Wayanad, Ooty, Darjeeling, Assam and Himachal. These teas were placed in six cups, numbered 1 to 6, not necessarily in the same order. The tea taster was asked to rate these teas on the strength of their flavour on a scale of 1 to 10. He gave a unique integer rating to each tea. Some other information is given below:
1. Cup 6 contained tea from Himachal.
2. Tea from Ooty got the highest rating, but it was not in Cup 3.
3. The rating of tea in Cup 3 was double the rating of the tea in Cup 5.
4. Only two cups got ratings in even numbers.
5. Cup 2 got the minimum rating and this rating was an even number.
6. Tea in Cup 3 got a higher rating than that in Cup 1.
7. The rating of tea from Wayanad was more than the rating of tea from Munnar, but less than that from Assam.

In an 8 X 8 chessboard a queen placed anywhere can attack another piece if the piece is present in the same row, or in the same column or in any diagonal position in any possible 4 directions, provided there is no other piece in between in the path from the queen to that piece.
The columns are labelled a to h (left to right) and the rows are numbered 1 to 8 (bottom to top). The position of a piece is given by the combination of column and row labels. For example, position c5 means that the piece is in cth column and 5th row.

Eight friends: Ajit, Byomkesh, Gargi, Jayanta, Kikira, Manik, Prodosh and Tapesh are going to Delhi from Kolkata by a flight operated by Cheap Air. In the flight, sitting is arranged in 30 rows, numbered 1 to 30, each consisting of 6 seats, marked by letters A to F from left to right, respectively. Seats A to C are to the left of the aisle (the passage running from the front of the aircraft to the back), and seats D to F are to the right of the aisle. Seats A and F are by the windows and referred to as Window seats, C and D are by the aisle and are referred to as Aisle seats while B and E are referred to as Middle seats. Seats marked by consecutive letters are called consecutive seats (or seats next to each other). A seat number is a combination of the row number, followed by the letter indicating the position in the row; e.g., 1A is the left window seat in the first row, while 12E is the right middle seat in the 12th row.
Cheap Air charges Rs. 1000 extra for any seats in Rows 1, 12 and 13 as those have extra legroom. For Rows 2-10, it charges Rs. 300 extra for Window seats and Rs. 500 extra for Aisle seats. For Rows 11 and 14 to 20, it charges Rs. 200 extra for Window seats and Rs. 400 extra for Aisle seats. All other seats are available at no extra charge.
The following are known:
1.The eight friends were seated in six different rows.
2.They occupied 3 Window seats, 4 Aisle seats and 1 Middle seat.
3.Seven of them had to pay extra amounts, totaling to Rs. 4600, for their choices of seat. One of them did not pay any additional amount for his/her choice of seat.
4.Jayanta, Ajit and Byomkesh were sitting in seats marked by the same letter, in consecutive rows in increasing order of row numbers; but all of them paid different amounts for their choices of seat. One of these amounts may be zero.
5.Gargi was sitting next to Kikira, and Manik was sitting next to Jayanta.
6.Prodosh and Tapesh were sitting in seats marked by the same letter, in consecutive rows in increasing order of row numbers; but they paid different amounts for their choices of seat. One of these amounts may be zero.

A high security research lab requires the researchers to set a pass key sequence based on the scan of the five fingers of their left hands. When an employee first joins the lab, her fingers are scanned in an order of her choice, and then when she wants to re-enter the facility, she has to scan the five fingers in the same sequence. The lab authorities are considering some relaxations of the scan order requirements, since it is observed that some employees often get locked-out because they forget the sequence.

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.

Sellers	Sum of the cost price (in Rs.) of each pen and pencil	Cost price (in Rs.) of all pencils - Cost price (in Rs.) of all erasers	Sum of cost price (in Rs.) of all pens and erasers
Ram	15	100	2100
Mohan	13	480	2050
Lakhan	27	600	3000
Raghav	19	300	3300

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.

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.

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

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.

Days	Total number of towels sold	Ratio of large to small sized towels sold	Percentage of Medium sized towels	Difference between the number of large sized and small sized towels sold
Monday	950	3 : 1	20%	-
Tuesday	900	3 : 2	-	90
Wednesday	-	5 : 4	25%	70
Thursday	750	-	20%	40
Friday	-	4 : 3	40%	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.

Types	Week I	Week II	Week III	Week IV	Total
Type A	2650	1640	-	-	8820
Type B	-	1520	1650	1730	-
Type C	3240	-	-	2550	8750
Type D	2960	1220	-	-	8270
Total	10730	-	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.

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.

Pipes A, B, and C alone can fill a tank in 25 minutes, 75 minutes, and 50 minutes, respectively while a tap alone can empty the tank in 150 minutes. If pipe A and the tap opened together and after 15 minutes pipe A is closed and B and C together is opened, then in how many minutes will the tank filled completely?

The volume of hemisphere is equal to the volume of cylinder. Calculate the ratio of total surface area of hemisphere and total surface area of cylinder. The radius of hemisphere and cylinder is equal.

After five years, A's age will be 10.5 years less than 2.5 times of C's age. Three years ago, the ratio of age of A and C is 3: 1. If B is three times the age of C, then what is the present age of B?