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CAT 2025 Slot 3 DILR · Set 3 of 5Logical ReasoningHard DifficultyQ10–Q13 · 1 MCQ + 3 TITA

CAT 2025 Slot 3 DILR Set 3: Grids (4 Questions) with Solutions

The Grids set from the official CAT 2025 Slot 3 DILR paper: the caselet, all 4 questions, the official answer key and a step-by-step solution for each. 100% free, no sign-up.

The Set: Read the Caselet First

CAT 2025 Slot 3 DILR · Questions 10–13
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.
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.
Official Reference Chart - CAT 2025 Slot 3 Official Reference Chart - CAT 2025 Slot 3

In the exam this set competed with 4 others for 40 minutes. Budget about 8 minutes if you attempt it.

Q10. Grids

TITA · +3 / 0
What was the duration of calls (in minutes) from Bijay to Anu?
Correct Answer
50
Step-by-step solution
📌 Core Concept
The table splits calls by operator. Xitel has only Anu and Bijay, so any call to or from Xitel inside this pair is fixed by a single table cell.
🔢 Step-by-Step Solution
1
Xitel members are Anu and Bijay. Yocel members are Chetan, Deepak, Eshan and Faruq.
2
Anu's outgoing minutes to Xitel are 100. Anu can only call Bijay within Xitel, so Anu to Bijay is 100.
3
Anu's incoming minutes from Xitel are 50. Bijay is the only other Xitel friend, so every one of those minutes came from Bijay.
4
Bijay to Anu is therefore 50.
Quick Check
Bijay's outgoing minutes to Xitel are then 50, and these go only to Anu. This matches the table.
Correct Answer: 50

Q11. Grids

TITA · +3 / 0
What was the total duration of calls (in minutes) made by Anu to friends having mobile numbers from Operator Yocel?
Correct Answer
525
Step-by-step solution
📌 Core Concept
All calls received by Yocel friends from Xitel must have been made by Anu or Bijay. Anu's outgoing minutes to Yocel are what remains after Bijay's share.
🔢 Step-by-Step Solution
1
Incoming minutes from Xitel for the Yocel friends are Chetan 250, Deepak 275, Eshan 100 and Faruq 100. The total is 250+275+100+100=725250+275+100+100=725.
2
Only Anu and Bijay are on Xitel, so Anu's outgoing minutes to Yocel plus Bijay's outgoing minutes to Yocel equal 725.
3
The table gives Bijay's outgoing minutes to Yocel as 200.
4
Anu to Yocel is 725−200=525725-200=525.
Quick Check
Anu's incoming minutes from Yocel are 225, and these are not part of this total. The calculation uses only Anu's outgoing minutes, so there is no conflict.
Correct Answer: 525

Q12. Grids

TITA · +3 / 0
What was the total duration of calls (in minutes) made by Faruq to friends having mobile numbers from Operator Yocel?
Correct Answer
350
Step-by-step solution
📌 Core Concept
Total outgoing minutes within Yocel must equal total incoming minutes within Yocel. Faruq's outgoing minutes to Yocel are the one missing term in that balance.
🔢 Step-by-Step Solution
1
Incoming minutes from Yocel for the Yocel friends are Chetan 150, Deepak 100, Eshan 375 and Faruq 150. The total is 150+100+375+150=775150+100+375+150=775.
2
Outgoing minutes to Yocel are Chetan 175, Deepak 150, Eshan 100 and Faruq xx. The total is 425+x425+x.
3
Every call within Yocel is counted once as outgoing and once as incoming, so 425+x=775425+x=775.
4
This gives x=350x=350.
Quick Check
Faruq to Eshan is 200 (given) and Faruq to Deepak is 100, because Deepak's 100 incoming minutes from Yocel can come only from Faruq. Faruq to Chetan is 350−200−100=50350-200-100=50. This agrees with Chetan's incoming minutes from Yocel (Deepak 100 plus Faruq 50 is 150).
Correct Answer: 350

Q13. Grids

MCQ · +3 / −1
What was the duration of calls (in minutes) from Deepak to Chetan?
  1. A) 0
  2. B) 100
  3. C) 50
  4. D) 125
Correct Answer
B) 100
Step-by-step solution
📌 Core Concept
The "no calls" conditions cut down who can call whom inside Yocel. Matching the row and column totals then fixes Deepak to Chetan.
🔢 Step-by-Step Solution
1
Deepak's incoming minutes from Yocel are 100. Chetan to Deepak and Eshan to Deepak are barred, so these 100 minutes are all Faruq to Deepak.
2
Faruq's outgoing minutes to Yocel are 350 (from the Yocel balance). With Faruq to Eshan at 200 and Faruq to Deepak at 100, Faruq to Chetan is 50.
3
Chetan's incoming minutes from Yocel are 150. Eshan to Chetan is barred, so these come from Deepak and Faruq. Deepak to Chetan is 150−50=100150-50=100.
Why Not the Others
A) 0: Chetan's 150 incoming minutes from Yocel could not then be met, since Faruq supplies only 50.
C) 50: this leaves Chetan 50 minutes short.
D) 125: this would push Chetan's incoming total above 150.
Quick Check
Deepak's outgoing minutes to Yocel are 150, so Deepak to Eshan is 150−100=50150-100=50. Eshan's incoming minutes from Yocel are then 200+50+125=375200+50+125=375, where 125 is Chetan to Eshan, from Chetan's outgoing 175 less Faruq's 50. This matches the table.
Correct Answer: B
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CAT 2025 Slot 3 DILR at a Glance

Sets in this section5
Questions in this section22
Section time40 minutes
Convenor IIMIIM Kozhikode

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