CAT 2025 Slot 3 DILR Set 1 Q1–Q4

A DILR caselet from the Data Interpretation & Logical Reasoning (DILR) section of CAT 2025 Slot 3, with 4 questions (Charts & Tables). Answers are CAT's official key.

The set

This set relies on a figure in the original paper, which is not reproduced here. The questions and answers are below.

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.
[Figure in the original paper]
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.

Question 1

What was the duration of calls (in minutes) from Bijay to Anu?

TITA: type in the answer. There are no options and no negative marking.

Answer: 50 Charts & Tables TITA

Solution

  1. Xitel users are only Anu and Bijay; the rest use Yocel. So Anu's 100 outgoing Xitel minutes all go to Bijay, and Anu's 50 incoming Xitel minutes all come from Bijay.
  2. Hence Bijay to Anu \(= 50\) minutes.

Question 2

What was the total duration of calls (in minutes) made by Anu to friends having mobile numbers from Operator Yocel?

TITA: type in the answer. There are no options and no negative marking.

Answer: 525 Charts & Tables TITA

Solution

  1. Xitel users are only Anu and Bijay; the rest use Yocel. So Anu's 100 outgoing Xitel minutes all go to Bijay, and Anu's 50 incoming Xitel minutes all come from Bijay.
  2. Calls into Yocel from Xitel: \(250 + 275 + 100 + 100 = 725\).
  3. Bijay made 200 of these, so Anu made \(725 - 200 = 525\).

Question 3

What was the total duration of calls (in minutes) made by Faruq to friends having mobile numbers from Operator Yocel?

TITA: type in the answer. There are no options and no negative marking.

Answer: 350 Charts & Tables TITA

Solution

  1. All Yocel-to-Yocel minutes: incoming \(150 + 100 + 375 + 150 = 775\).
  2. Outgoing to Yocel from Chetan, Deepak, Eshan: \(175 + 150 + 100 = 425\).
  3. So Faruq made \(775 - 425 = 350\) minutes to Yocel users.

Question 4

What was the duration of calls (in minutes) from Deepak to Chetan?
  1. A
    0
  2. B
    125
  3. C
    100
  4. D
    50

Answer: (C) 100 Charts & Tables MCQ

Solution

  1. Fill each Yocel caller's row using the 'no calls' list: Chetan to Xitel (50) all goes to Bijay; Deepak to Xitel (100) all goes to Anu.
  2. Eshan's 100 Yocel minutes can only go to Faruq. Faruq receives 150 from Yocel and none from Deepak, so Chetan to Faruq \(= 50\), and Chetan to Eshan \(= 175 - 50 = 125\).
  3. Eshan receives 375 from Yocel \(= 125\) (Chetan) \(+\) Deepak \(+ 200\) (Faruq), so Deepak to Eshan \(= 50\).
  4. Deepak's 150 Yocel minutes (none to Faruq) are split as Eshan 50 and Chetan \(150 - 50 = 100\).

Same concept in other years

See every question on Pairwise interactions within a group (calls, replies, relationships).

More Charts & Tables questions from CAT

All 130 Charts & Tables questions asked since 2017.