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Data Interpretation & Logical Reasoning (DILR)

Read data fast and reason carefully: tables, charts, caselets, arrangements, tournaments, Venn diagrams and routes.

Practise Data Interpretation & Logical Reasoning (DILR) →Formula sheet

Topics

Tap a topic to practise just that topic. Tags show which exams it suits best. For CAT-style sets, see the CAT track.

Tables 5 Qs

Multi-row data, growth, share

CAT + Bank-SSC

Bar Charts 5 Qs

Reading and comparing bars

CAT + Bank-SSC

Pie Charts 5 Qs

Percentages and central angles

CAT + Bank-SSC

Line Graphs 5 Qs

Trends and month-on-month change

CAT + Bank-SSC

Caselets 4 Qs

Paragraph-based data

CAT + Bank-SSC

Arrangements 5 Qs

Table seating and matching grids

CAT + Bank-SSC

Games & Tournaments 5 Qs

Knock-outs, round robins

CAT + Bank-SSC

Venn Diagrams 5 Qs

2- and 3-set problems

CAT + Bank-SSC

Network & Routes 4 Qs

Shortest routes on a road map

CAT + Bank-SSC

Concept note

How to approach a DI set

  1. Scan for 30 seconds: note the units, the totals and what each axis or column means.
  2. Approximate: most DI options are far enough apart that rounding works (e.g. 487/1210 ≈ 40%).
  3. Reuse: compute totals or growth once and use them for every question in the set.

Growth and share

Growth % = (New − Old)/Old × 100. Share % = Part/Total × 100. Don't mix these up. A product can have the highest absolute increase but not the highest percentage growth.

💡 Pie charts: 1% = 3.6°, so 25% = 90° and 10% = 36°.

Choosing LR sets (CAT)

In CAT, set selection matters as much as solving. Spend the first 3–4 minutes scanning every set, then start with the ones that have the most definite clues and the fewest variables.

Formula & rules sheet

6 topics · 18 formulas and rules. Tap a topic to open or close it.

Growth & Share4
  • Growth % = (New − Old) / Old × 100
  • Share % = Part / Total × 100
  • % more (A over B) = (A − B) / B × 100Divide by the value you are comparing against.
  • CAGR = (End / Start)^(1/n) − 1Average yearly growth over n years.
Pie Charts2
  • Central angle = % × 3.6°1% = 3.6°, 25% = 90°, 10% = 36°.
  • Value = % × Total / 100
Averages & Ratios2
  • Average = Sum / Count
  • A : B in lowest terms = (A ÷ HCF) : (B ÷ HCF)E.g. 240 : 180 = 4 : 3.
Venn Diagrams5
  • n(A ∪ B) = n(A) + n(B) − n(A ∩ B)
  • n(A ∪ B ∪ C) = ΣA − Σ(pairs) + n(A ∩ B ∩ C)Here 'pairs' includes those in all three.
  • Only A = A − (A∩B) − (A∩C) + (A∩B∩C)
  • Exactly two = Σ(pairs) − 3 × n(A ∩ B ∩ C)
  • None = Total − n(at least one)
Games & Tournaments3
  • Round robin (n teams) = nC2 = n(n − 1) / 2 matchesEach pair of teams plays once.
  • Knock-out (n teams) = n − 1 matchesEach match eliminates one team.
  • Total points = points per match × matchesE.g. 2 per win with no draws: 2 × matches.
Network & Routes2
  • Shortest route = min(sum of road lengths over all paths)List the candidate paths and add up each one.
  • If a road closes, re-check only paths that used it

Tip: bookmark this page and revise it for 5 minutes before each practice session.