Data Interpretation and Logical Reasoning Lecture Notes

Jul 10, 2024

Data Interpretation and Logical Reasoning (DLR)

Introduction

  • DLR is a challenging section for many students.
  • Familiarity: Unlike Quant (studied in school) or Reading Comprehension (done before), DLR is often entirely new.
  • However, DLR can be enjoyable and is solvable with a systematic approach.

Strategy for Solving DLR

  • Process: Have a structured process to maintain control.
    • Defer: Understand the problem/game.
    • Identify: Know what needs to be found.
    • Layout: Capture and organize information on a working sheet.
    • Resolve: Analyze and solve using clues.

Example 1: Sequencing Games (CAT 2018)

Problem Setup

  • Context: 7 candidates (A to G) assigned to three rooms (101, 102, 103).
  • Sequencing: Determine order and room beyond arrival times.

Available Information

  • Arrival times of candidates with some names hidden.
  • Various qualitative clues (e.g., A is third in room 101).

Steps to Solve

  1. Defer: Understand the sequencing within rooms and venues.
  2. Identify: Read the questions to know the demands (e.g., which room did D go to, when did B arrive? etc.).
  3. Layout: Use a working sheet to organize given data systematically.
  4. Resolve: Step-by-step resolution of clues while capturing necessary order constraints.

Clues Resolution

  • Clue Processing:
    • Extract essential insights (e.g., B was third to enter 101 means two must be before B).
    • Validate positions considering constraints (e.g., B can't be first or second because it must have two candidates already).
  • Utilize a working sheet to segregate information, deductions, and interim steps.
  • Sequencing with constraints yields the systematic determination of all positions.

Example 2: Sequencing and Assignment Game (CAT 2019)

Problem Setup

  • Context: Place 12 items (A to L) on shelves numbered 1 to 16 with 4 as empty.
  • Classification: Biscuits, candies, and savories (5 biscuits, 3 candies, 4 savories).
  • Constraints: Items of the same type must cluster together with at least one empty shelf between different clusters.

Available Information

  • Initial formatted layout and constraints about placement.
  • Specific relationship constraints (e.g., A and B must be consecutive in increasing order).

Steps to Solve

  1. Defer: Understand agreements on same item clustering and interspersed empties.
  2. Identify: Specific location/arithmetic constraints for resolving placements.
  3. Layout: Arrange candidates and empty spaces following given directives.
  4. Resolve: Integrate all clues to solve queries about empty positions and candy/biscuit placements.

Clues Resolution

  • Clue Construction:
    • Detailed classification and sequential setup (e.g., A, B in order, I, J also sequential but unknown exactness).
    • Block construction for same type clustering and empty separation.
  • Iterative Solution: Draft multiple possible configurations and validate against constraints.
  • Assignment Verification: Evaluate solutions for multiple questions (e.g., which items are biscuits, arrangement alignments, and mandatory true conditions).

Concluding Remarks

  • Regularity in drilling into problems enhances familiarity and control over DLR.
  • Future Lessons Schedule: Bi-weekly sessions on Mondays and Fridays.