CAT 2023 · Slot 3 — Data Interpretation & Logical Reasoning

All 20 DILR questions from the CAT 2023 · Slot 3 paper, with the correct answer for each.

Questions 1–5

AC company, 4 dealers D1-D4, two variants Window/Split, each Inverter or Non-inverter. Of all ACs sold: 25% Window, 75% Split. Among Inverters, 20% Window. Clues: (1) every dealer sold >=2 Window ACs; (2) D1 sold 13 Inverter ACs, D3 sold 5 Non-inverter ACs; (3) total 6 Window-Non-inverter and 36 Split-Inverter ACs sold; (4) D1's Split = 2x D1's Window; (5) D3=D4 Window ACs = one-third of D2's Window; (6) only D2 & D3 sold Window-Non-inverter, D2 = 2x D3; (7) D3=D4 Split-Inverter = half of D2's Split-Inverter.

Question 1

How many Split Inverter ACs did D2 sell? (TITA)

Correct answer: 14

Question 2

What percentage of ACs sold were of Non-Inverter type? (TITA)

  1. 33.33%
  2. 75.00%
  3. 25.00%
  4. 20.00%

Correct answer: C · 25.00%

Question 3

What was the total number of ACs sold by D2 and D4? (TITA)

Correct answer: 33

Question 4

Which of the following statements is necessarily false?

  1. D2 sold the highest number of ACs.
  2. D4 sold more Split ACs as compared to D3.
  3. D1 and D3 sold an equal number of Split ACs.
  4. D1 and D3 together sold more ACs as compared to D2 and D4 together.

Correct answer: D · D1 and D3 together sold more ACs as compared to D2 and D4 together.

Question 5

If D3 and D4 sold an equal number of ACs, then what was the number of Non-Inverter ACs sold by D2?

  1. 4
  2. 5
  3. 7
  4. 6

Correct answer: B · 5

Questions 6–10

Six police stations A-F connected by streets: A-B, A-C, A-F, A-E, F-E, C-D, E-D (each street 30 min to cross). A is the hub; B is a dead-end off A; loop A-C-D-E-A plus triangle A-F-E. Four teams (T1-T4) all start at A at 09:00 and return to A by 12:00 -> six 30-min legs each (closed walk from A). Facts: (1) no street carries >1 team in any 30-min leg; (2) at 10:00 only T2 at E, T3 at D; (3) at 10:30 only T1,T3 at E; (4) at 11:30 only T1 at B, T4 at E; (5) only T1,T4 patrol street A-E; (6) T4 never passes B, D or F.

Question 6

Which one among the following stations is visited the largest number of times?

  1. Station C
  2. Station E
  3. Station D
  4. Station F

Correct answer: B · Station E

Question 7

How many times do the teams pass through Station B in a day?

Correct answer: 2

Question 8

Which team patrols the street connecting Stations D and E at 10:15 hrs?

  1. Team 4
  2. Team 1
  3. Team 2
  4. Team 3

Correct answer: D · Team 3

Question 9

How many times does Team 4 pass through Station E in a day?

Correct answer: 2

Question 10

How many teams pass through Station C in a day?

  1. 4
  2. 3
  3. 1
  4. 2

Correct answer: D · 2

Questions 11–15

Coaching class, 5 months Jan-May. Each month: Online + Offline registrations (no overlap), Total=Online+Offline. Facts: (1) all monthly numbers multiples of 10; (2) Jan offline=2x Jan online; (3) Apr online=2x Apr offline; (4) Mar online=Feb offline; (5) online largest in May.

Question 11

What was the total number of registrations in April?

Correct answer: 120

Question 12

What was the number of online registrations in January?

Correct answer: 40

Question 13

Which of the following statements can be true? I. The number of offline registrations was the smallest in May. II. The total number of registrations was the smallest in February.

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

Correct answer: D · Only I

Question 14

What best can be concluded about the number of offline registrations in February?

  1. 80
  2. 50 or 80
  3. 30 or 50 or 80
  4. 50

Correct answer: D · 50

Question 15

Which pair of months definitely had the same total number of registrations? I. January and April. II. February and May.

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

Correct answer: A · Both I and II

Questions 16–20

6 students: females Amala/Koli/Rini, males Biman/Mathew/Shyamal. Two components Project & Test; Aggregate = w_P*Project + w_T*Test (weights >0, sum 1). Projects in female-male pairs; both partners share the project score. Facts: (1) both project & test rows have min40/max80/avg60; (2) test scores multiples of 10, four distinct + two equal to avg 60; (3) Amala project=2x Koli project, Koli test=Amala test+20, yet Amala highest aggregate; (4) Shyamal 2nd-highest test, aggregate=Koli+2=Amala-2; (5) Biman 2nd-lowest test & lowest aggregate; (6) Mathew project>Rini, Mathew test<Rini.

Question 16

What was Rini's score in the project?

Correct answer: 60

Question 17

What was the weight of the test component?

  1. 0.60
  2. 0.50
  3. 0.75
  4. 0.40

Correct answer: A · 0.60

Question 18

What was the maximum aggregate score obtained by the students?

  1. 68
  2. 80
  3. 62
  4. 66

Correct answer: A · 68

Question 19

What was Mathew's score in the test?

Correct answer: 40

Question 20

Which of the following pairs of students were part of the same project team? i) Amala and Biman ii) Koli and Mathew

  1. Only (ii)
  2. Only (i)
  3. Neither (i) nor (ii)
  4. Both (i) and (ii)

Correct answer: C · Neither (i) nor (ii)