CAT Table based DI Sets Questions & Solutions
A sample of real CAT Table based DI Sets past-year questions, each with a worked solution and the correct answer highlighted. AthenaPrep has 76 Table based DI Sets questions in all — sign up free to practise them timed.
Passage
Anu, Bijay, Chetan, Deepak, Eshan, and Faruq are six friends. Each of them uses a mobile number from exactly one of the two mobile operators - Xitel and Yocel. During the last month, the six friends made several calls to each other. Each call was made by one of these six friends to another. The table below summarizes the number of minutes of calls that each of the six made to (outgoing minutes) and received from (incoming minutes) these friends, grouped by the operators. Some of the entries are missing.
Friend Operator Outgoing minutes to Incoming minutes from Xitel Yocel Xitel Yocel Anu Xitel 100 50 225 Bijay Xitel 200 125 Chetan Yocel 50 175 250 150 Deepak Yocel 100 150 275 100 Esthan Yocel 100 100 375 Faruq Yocel 0 100 150 It is known that the duration of calls from Faruq to Eshan was 200 minutes. Also, there were no calls from:
i. Bijay to Eshan,
ii. Chetan to Anu and Chetan to Deepak,
iii. Deepak to Bijay and Deepak to Faruq,
iv. Eshan to Chetan and Eshan to Deepak.Q1.CAT 2025What was the duration of calls (in minutes) from Bijay to Anu?
Answer: 50
Passage
The table given below shows the amount, in grams, of carbohydrate, protein, fat and all other nutrients, per 100 grams of nutrients in seven food grains. The first column shows the food grain category and the second column its codename. The table has some missing values.
Food grain Category Codename Composition per 100 g of nutrients Carbohydrate Protein Fat Other nutrients Cereal C1 0 12 C2 3 10 Millet M1 62 10 M2 7 16 M3 56 12 Pseudo-cereal P1 66 10 P2 14 8 The following additional facts are known.
- Both the pseudo-cereals had higher amounts of carbohydrate as well as higher amounts of protein than any millet.
- Both the cereals had higher amounts of carbohydrate than any pseudo-cereal.
- All the missing values of carbohydrate amounts (in grams) for all the food grains are non-zero multiples of 5.
- All the missing values of protein, fat and other nutrients amounts (in grams) for all the food grains are non-zero multiples of 4.
- P1 contained double the amount of protein that M3 contains.
Q2.CAT 2024How many grams of other nutrients were there in 100 grams of nutrients in M3?
Answer: 24
Passage
There are only three female students - Amala, Koli and Rini - and only three male students - Biman, Mathew and Shyamal - in a course. The course has two evaluation components, a project and a test. The aggregate score in the course is a weighted average of the two components, with the weights being positive and adding to 1.
The projects are done in groups of two, with each group consisting of a female and a male student. Both the group members obtain the same score in the project.
The following additional facts are known about the scores in the project and the test.
- The minimum, maximum and the average of both project and test scores were identical - 40, 80 and 60, respectively.
- The test scores of the students were all multiples of 10; four of them were distinct and the remaining two were equal to the average test scores.
- Amala’s score in the project was double that of Koli in the same, but Koli scored 20 more than Amala in the test. Yet Amala had the highest aggregate score.
- Shyamal scored the second highest in the test. He scored two more than Koli, but two less than Amala in the aggregate.
- Biman scored the second lowest in the test and the lowest in the aggregate.
- Mathew scored more than Rini in the project, but less than her in the test.
Q3.CAT 2023Which of the following pairs of students were part of the same project team?
i) Amala and Biman
ii) Koli and MathewOnly ii)
Only i)
Neither i) nor ii)
Both i) and ii)
Passage
In a coaching class, some students register online, and some others register offline. No student registers both online and offline; hence the total registration number is the sum of online and offline registrations. The following facts and table pertain to these registration numbers for the five months - January to May of 2023. The table shows the minimum, maximum, median registration numbers of these five months, separately for online, offline and total number of registrations. The following additional facts are known.
- In every month, both online and offline registration numbers were multiples of 10.
- In January, the number of offline registrations was twice that of online registrations.
- In April, the number of online registrations was twice that of offline registrations.
- The number of online registrations in March was the same as the number of offline registrations in February.
- The number of online registrations was the largest in May.
Minimum Maximum Median Online 40 100 80 Offline 30 80 50 Total 110 130 120 Q4.CAT 2023What was the number of online registrations in January?
Answer: 40
Passage
Odsville has five firms - Alfloo, Bzygoo, Czechy, Drjbna and Elavalaki. Each of these firms was founded in some year and also closed down a few years later.
Each firm raised Rs. 1 crore in its first and last year of existence. The amount each firm raised every year increased until it reached a maximum, and then decreased until the firm closed down. No firm raised the same amount of money in two consecutive years. Each annual increase and decrease was either by Rs. 1 crore or by Rs. 2 crores. The table below provides partial information about the five firms.
Firm First year of existence Last year of existence Total amount raised (Rs. Crores) Alfloo 2009 2016 21 Bzygoo 2012 2015 Czechy 2013 9 Drjbna 2011 2015 10 Elavalaki 2010 13 Q5.CAT 2023What is the largest possible total amount of money (in Rs. crores) that could have been raised in 2013?
Answer: 17
Passage
Amudha, Bharatan, Chandran, Dhinesh, Ezhil, Fani and Gowtham are seven people in a town. Any pair of them could either be strangers, acquaintances, or friends. All relationships are mutual. For example, if Amudha is a friend of Bharatan, then Bharatan is also a friend of Amudha. Similarly, if Amudha is a stranger to Bharatan, then Bharatan is also a stranger to Amudha.
Partial information about the number of friends, acquaintances, and strangers of each of these people among them is given in the table below.
No. of Friends No. of Acquaintances No. of Strangers Amudha 1 4 Bharatan Chandran 1 Dhinesh 2 Ezhil 1 Fani 1 Gowtham 3 2 The following additional facts are also known.
- Amudha, Bharatan, and Chandran are mutual strangers.
- Amudha, Dhinesh, and Fani are Ezil's friends.
- Chandran and Gowtham are friends.
- Every friend of Amudha is an acquaintance of Bharatan, and every acquaintance of Bharatan is a friend of Amudha.
- Every friend of Bharatan is an acquaintance of Amudha, and every acquaintance of Amudha is a friend of Bharatan.
Q6.CAT 2021Who is an acquaintance of Chandran?
Dhinesh
Fani
Ezhil
Bharatan
Passage
In an election several candidates contested for a constituency. In any constituency, the winning candidate was the one who polled the highest number of votes, the first runner up was the one who polled the second highest number of votes, the second runner up was the one who polled the third highest number of votes, and so on. There were no ties (in terms of number of votes polled by the candidates) in any of the constituencies in this election. In an electoral system, a security deposit is the sum of money that a candidate is required to pay to the election commission before he or she is permitted to contest. Only the defeated candidates (i.e., one who is not the winning candidate) who fail to secure more than one sixth of the valid votes polled in the constituency, lose their security deposits.
The following table provides some incomplete information about votes polled in four constituencies: A, B, C and D, in this election .
Constituency A B C D No. of candidates contesting 10 12 5 8 Total No. of valid votes polled 5,00,000 3,25,000 6,00,030 No. of votes polled by the winning candidate 2,75,000 48,750 No. of votes polled by the first runner up 95,000 37,500 No. of votes polled by the second runner up 30,000 % of valid votes polled by the third runner up 10% The following additional facts are known:
- The first runner up polled 10,000 more votes than the second runner up in constituency A.
- None of the candidates who contested in constituency C lost their security deposit. The difference in votes polled by any pair of candidates in this constituency was at least 10,000.
- The winning candidate in constituency D polled 5% of valid votes more than that of the first runner up. All the candidates who lost their security deposits while contesting for this constituency, put together, polled 35% of the valid votes.
Q7.CAT 2020The winning margin of a constituency is defined as the difference of votes polled by the winner and that of the first runner up. Which of the following CANNOT be the list of constituencies, in increasing order of winning margin?
D, B, C, A
B, D, C, A
B, C, D, A
D, C, B, A
Passage
Six players - Tanzi, Umeza, Wangdu, Xyla, Yonita and Zeneca competed in an archery tournament. The tournament had three compulsory rounds, Rounds 1 to 3. In each round every player shot an arrow at a target. Hitting the centre of the target (called bull’s eye) fetched the highest score of 5. The only other possible scores that a player could achieve were 4, 3, 2 and 1. Every bull’s eye score in the first three rounds gave a player one additional chance to shoot in the bonus rounds, Rounds 4 to 6. The possible scores in Rounds 4 to 6 were identical to the first three.
A player’s total score in the tournament was the sum of his/her scores in all rounds played by him/her. The table below presents partial information on points scored by the players after completion of the tournament. In the table, NP means that the player did not participate in that round, while a hyphen means that the player participated in that round and the score information is missing.
Round-1 Round-2 Round-3 Round-4 Round-5 Round-6 Tanzi - 4 - 5 NP NP Umeza - - - 1 2 NP Wangdu - 4 - NP NP NP Xyla - - - 1 5 - Yonita - - 3 5 NP NP Zeneca - - - 5 5 NP The following facts are also known.
1.Tanzi, Umeza and Yonita had the same total score.
2.Total scores for all players, except one, were in multiples of three.
3.The highest total score was one more than double of the lowest total score.
4.The number of players hitting bull’s eye in Round 2 was double of that in Round 3.
5.Tanzi and Zeneca had the same score in Round 1 but different scores in Round 3.Q8.CAT 2019What was the highest total score?
25
21
24
23
Passage
A company administers a written test comprising of three sections of 20 marks each - Data Interpretation (DI), Written English (WE) and General Awareness (GA), for recruitment. A composite score for a candidate (out of 80) is calculated by doubling her marks in DI and adding it to the sum of her marks in the other two sections. Candidates who score less than 70% marks in two or more sections are disqualified. From among the rest, the four with the highest composite scores are recruited. If four or less candidates qualify, all who qualify are recruited.
Ten candidates appeared for the written test. Their marks in the test are given in the table below. Some marks in the table are missing, but the following facts are known:
- No two candidates had the same composite score.
- Ajay was the unique highest scorer in WE.
- Among the four recruited, Geeta had the lowest composite score.
- Indu was recruited.
- Danish, Harini, and Indu had scored the same marks the in GA.
- Indu and Jatin both scored 100% in exactly one section and Jatin’s composite score was 10 more than Indu’s.
Candidate Marks out of 20 DI WE GA Ajay 8 16 Bala 9 11 Chetna 19 4 12 Danish 8 15 Ester 12 18 16 Falak 15 7 10 Geeta 14 6 Harini 5 Indu 8 Jatin 16 14
Q9.CAT 2018If all the candidates except Ajay and Danish had different marks in DI, and Bala's composite score was less than Chetna's composite score, then what is the maximum marks that Bala could have scored in DI?
Answer: 13
Passage
Funky Pizzeria 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:
Thin crust (T) Normal cheese (NC) Party 1 0.6 Party 2 0.55 0.3 Party 3 0.65 Total 0.375 0.52 Q10.CAT 2017How many Normal Cheese pizzas were required to be delivered to Party 1?
104
84
16
196
Passage
DIRECTIONS for the following four questions:
The proportion of male students and the proportion of vegetarian students in a school are given below. The school has a total of 800 students, 80% of whom are in the Secondary Section and rest equally divided between Class 11 and 12.
Male (M) Vegetarian (V) Class 12 0.6 Class 11 0.55 0.5 Secondary Section 0.55 Total 0.475 0.53 Q11.CAT 2007In the Secondary Section, 50% of the males are vegetarian. Which of the following statements is correct?
Except vegetarian males, all other groups have same number of students.
Except non-vegetarian males, all other groups have same number of students.
Except vegetarian females, all other groups have same number of students.
Except non-vegetarian females, all other groups have same number of students.
All of the above groups have the same number of students.
Passage
Directions for the following four questions: Answer the questions on the basis of the information given below.
The Dean’s office recently scanned student results into the central computer system. When their character reading software cannot read something, it leaves the space blank. The scanner output read as follows:
Name Finance Marketing Statistics Strategy Operations GPA Aparna B F 1.4 Bikas D D F F Chandra D A F F 2.4 Deepak A B D D 3.2 Fazal D F B D 2.4 Gowri C C A B 3.8 Hari B A D 2.8 Ismet B A Jagdeep A A B C 3.8 Kunal F A F F 1.8 Leena B A B F 3.2 Manab A B B Nisha A D B A 3.6 Osman C B A A 4.6 Preeti F D D 3.2 Rahul A C A F 4.2 Sameer C F B Tara B 2.4 Utkarsh F C A 3.0 Vipul A C C F 2.4 In the grading system, A, B, C, D, and F grades fetch 6, 4, 3, 2, and 0 grade points respectively. The Grade Point Average (GPA) is the arithmetic mean of the grade points obtained in the five subjects. For example Nisha’s GPA is (6 + 2 + 4 + 6 + 0) / 5 = 3.6. Some additional facts are also known about the students’ grades. These are
(i) Vipul obtained the same grade in Marketing as Aparna obtained in Finance and Strategy.
(ii) Fazal obtained the same grade in Strategy as Utkarsh did in Marketing.
(iii) Tara received the same grade in exactly three courses.
Q12.CAT 2004In operations, Tara could have received the same grade as
Ismet
Hari
Jagdeep
Manab
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