CAT 2022 · Slot 1 — Data Interpretation & Logical Reasoning

All 20 DILR questions from the CAT 2022 · Slot 1 paper, with the correct answer for each.

Questions 1–5

Four players (Amla, Bimla, Harita, Sarita) score a combined 12 goals across 8 matches; each scored at least one goal in total and all four totals are distinct. Even-numbered matches (2,4,6,8) score exactly 1 goal each. Harita's total > Bimla's. The top scorer scored in exactly 3 matches, including Match 4 and Match 8. Bimla scored in Match 1 plus three OTHER consecutive matches. Matches 3 and 7 scored equal goals, different from Match 1 or Match 5. The unique highest-goal match was not Match 5.

Question 1

How many goals were scored in Match 7?

  1. 3
  2. 2
  3. 1
  4. Cannot be determined

Correct answer: C · 1

Question 2

Which of the following is the correct sequence of goals scored in matches 1, 3, 5 and 7?

  1. 5, 1, 0, 1
  2. 3, 1, 2, 1
  3. 3, 2, 1, 2
  4. 4, 1, 2, 1

Correct answer: D · 4, 1, 2, 1

Question 3

Which of the following statement(s) is/are true?
Statement-1: Amla and Sarita never scored goals in the same match.
Statement-2: Harita and Sarita never scored goals in the same match.

  1. Statement-1 only
  2. Statement-2 only
  3. Both the statements
  4. None of the statements

Correct answer: C · Both the statements

Question 4

Which of the following statement(s) is/are false?
Statement-1: In every match at least one player scored a goal.
Statement-2: No two players scored goals in the same number of matches.

  1. None of the statements
  2. Statement-1 only
  3. Both the statements
  4. Statement-2 only

Correct answer: A · None of the statements

Question 5

If Harita scored goals in one more match as compared to Sarita, which of the following statement(s) is/are necessarily true?
Statement-1: Amla scored goals in consecutive matches.
Statement-2: Sarita scored goals in consecutive matches.

  1. Statement-2 only
  2. None of the statements
  3. Statement-1 only
  4. Both the statements

Correct answer: B · None of the statements

Questions 6–10

There are 15 girls and some boys among the graduating students in a class. They are planning a get-together, which can be either a 1-day event, or a 2-day event, or a 3-day event. There are 6 singers in the class, 4 of them are boys. There are 10 dancers in the class, 4 of them are girls. No dancer in the class is a singer.

Some students are not interested in attending the get-together. Those students who are interested in attending a 3-day event are also interested in attending a 2-day event; those who are interested in attending a 2-day event are also interested in attending a 1-day event.

The following facts are also known:
1. All the girls and 80% of the boys are interested in attending a 1-day event. 60% of the boys are interested in attending a 2-day event.
2. Some of the girls are interested in attending a 1-day event, but not a 2-day event; some of the other girls are interested in attending both.
3. 70% of the boys who are interested in attending a 2-day event are neither singers nor dancers. 60% of the girls who are interested in attending a 2-day event are neither singers nor dancers.
4. No girl is interested in attending a 3-day event. All male singers and 2 of the dancers are interested in attending a 3-day event.
5. The number of singers interested in attending a 2-day event is one more than the number of dancers interested in attending a 2-day event.

Question 6

How many boys are there in the class? (numerical value)

Correct answer: 50

Question 7

Which of the following can be determined from the given information?
I. The number of boys who are interested in attending a 1-day event and are neither dancers nor singers.
II. The number of female dancers who are interested in attending a 1-day event.

  1. Only I
  2. Neither I nor II
  3. Only II
  4. Both I and II

Correct answer: C · Only II

Question 8

What fraction of the class are interested in attending a 2-day event?

  1. 7/10
  2. 7/13
  3. 9/13
  4. 2/3

Correct answer: B · 7/13

Question 9

What BEST can be concluded about the number of male dancers who are interested in attending a 1-day event?

  1. 5 or 6
  2. 6
  3. 5
  4. 4 or 6

Correct answer: A · 5 or 6

Question 10

How many female dancers are interested in attending a 2-day event?

  1. 2
  2. 1
  3. 0
  4. Cannot be determined

Correct answer: C · 0

Questions 11–15

Adhara, Bithi, Chhaya, Dhanavi, Esther, and Fathima are the interviewers in a process that awards funding for new initiatives. Every interviewer individually interviews each of the candidates individually and awards a token only if she recommends funding. A token has a face value of 2, 3, 5, 7, 11, or 13. Each interviewer awards tokens of a single face value only.

Once all six interviews are over for a candidate, the candidate receives a funding that is Rs.1000 times the product of the face values of all the tokens. For example, if a candidate has tokens with face values 2, 5, and 7, then they get a funding of Rs.1000 x (2 x 5 x 7) = Rs.70,000.

Pragnyaa, Qahira, Rasheeda, Smera, and Tantra were five candidates who received funding. The funds they received, in descending order, were Rs.390,000, Rs.210,000, Rs.165,000, Rs.77,000, and Rs.66,000.

The following additional facts are known:
1. Fathima awarded tokens to everyone except Qahira, while Adhara awarded tokens to no one except Pragnyaa.
2. Rashida received the highest number of tokens that anyone received, but she did not receive one from Esther.
3. Bithi awarded a token to Smera but not to Qahira, while Dhanavi awarded a token to Qahira but not to Smera.

Question 11

How many tokens did Qahira receive? (numerical value)

Correct answer: 2

Question 12

Who among the following definitely received a token from Bithi but not from Dhanavi

  1. Pragnyaa
  2. Rasheeda
  3. Qahira
  4. Tantra

Correct answer: A · Pragnyaa

Question 13

How many tokens did Chhaya award?

Correct answer: 3

Question 14

How many tokens did Smera receive?

Correct answer: 3

Question 15

Which of the following could be the amount of funding that Tantra received?
(a) Rs. 66,000 (b) Rs. 165,000

  1. Neither (a) nor (b)
  2. Only (b)
  3. Only (a)
  4. Both (a) and (b)

Correct answer: D · Both (a) and (b)

Questions 16–20

Given below is the schematic map of the metro lines in a city, with rectangles denoting terminal stations (e.g. A), diamonds denoting junction stations (e.g. R) and small filled-up circles denoting other stations.

The map shows two east-west lines and two north-south lines, laid out as follows (a compass on the map marks north up and east right):
- East-west line M-N (M is the western terminal, N the eastern terminal): M, then 3 other stations, then junction R, then 9 other stations, then junction S, then 5 other stations, then N.
- East-west line P-Q (P is the western terminal, Q the eastern terminal), drawn below M-N: P, then 3 other stations, then junction T, then 9 other stations, then junction V, then 5 other stations, then Q.
- North-south line A-B (A is the northern terminal, B the southern terminal): A, then 2 other stations, then junction R, then 3 other stations, then junction T, then 2 other stations, then B.
- North-south line C-D (C is the northern terminal, D the southern terminal), drawn to the east of A-B: C, then 2 other stations, then junction S, then 3 other stations, then junction V, then 2 other stations, then D.
So R is the crossing of M-N with A-B, S the crossing of M-N with C-D, T the crossing of P-Q with A-B, and V the crossing of P-Q with C-D.

Each train runs either in east-west or north-south direction, but not both. All trains stop for 2 minutes at each of the junction stations on the way and for 1 minute at each of the other stations. It takes 2 minutes to reach the next station for trains going in east-west direction and 3 minutes to reach the next station for trains going in north-south direction. From each terminal station, the first train starts at 6 am; the last trains leave the terminal stations at midnight. Otherwise, during the service hours, there are metro service every 15 minutes in the north-south lines and every 10 minutes in the east-west lines. A train must rest for at least 15 minutes after completing a trip at the terminal station, before it can undertake the next trip in the reverse direction. (All questions are related to this metro service only. Assume that if someone reaches a station exactly at the time a train is supposed to leave, (s)he can catch that train.)

Question 16

If Hari is ready to board a train at 8:05 am from station M, then when is the earliest that he can reach station N?

  1. 9:11 am
  2. 9:06 am
  3. 9:01 am
  4. 9:13 am

Correct answer: A · 9:11 am

Question 17

If Priya is ready to board a train at 10:25 am from station T, then when is the earliest that she can reach station S?

  1. 11:12 am
  2. 11:22 am
  3. 11:07 am
  4. 11:28 am

Correct answer: A · 11:12 am

Question 18

Haripriya is expected to reach station S late. What is the latest time by which she must be ready to board at station S if she
must reach station B before 1 am via station R?

  1. 11:39 pm
  2. 11:49 am
  3. 11:35 pm
  4. 11:43 pm

Correct answer: A · 11:39 pm

Question 19

What is the minimum number of trains that are required to provide the service on the AB line (considering both north and
south directions)?

Correct answer: 8

Question 20

What is the minimum number of trains that are required to provide the service in this city?

Correct answer: 48