Haryana: Quantitative Aptitude — Data Interpretation (2026)

Types of DI

Bar Chart: Comparing quantities across categories. Read scale carefully.

Line Graph: Trend over time. Calculate growth rates between periods.

Pie Chart: Proportional distribution. Use angle/360 × total.

Table: Most common in govt exams. Cross-verify rows and columns.

⚡ Strategy: Always read the question before the data. Identify what is asked — value, %, ratio, or rank.

Key Formulas

  • % Change = (New−Old)/Old × 100
  • CAGR = (Final/Initial)^(1/n) − 1
  • Ratio to percentage: multiply by 100/total

Practice MCQs — Data Interpretation

Q1. A table shows sales of 5 products. If Product A sells 250 and total is 1000, A's %?

  • A) 20%
  • B) 22%
  • C) 25%
  • D) 28%
Answer: C) 25% — 250/1000×100=25%.

Q2. Bar chart shows profits: 2021=40L, 2022=50L, 2023=45L. Avg profit?

  • A) 42L
  • B) 45L
  • C) 46L
  • D) 48L
Answer: B) 45L — (40+50+45)/3=135/3=45L.

Q3. Pie chart: Education 30%, Health 25% of ₹800 crore budget. Education-Health diff?

  • A) ₹20 Cr
  • B) ₹30 Cr
  • C) ₹40 Cr
  • D) ₹50 Cr
Answer: C) ₹40 Cr — Edu=240, Health=200. Diff=₹40 Cr.

Q4. Line graph: growth rate 2020=10%, 2021=15%, 2022=12%. Base year sales=₹100. Sales in 2022?

  • A) ₹130
  • B) ₹138.18
  • C) ₹139
  • D) ₹140
Answer: B) ₹138.18 — 100×1.1×1.15×1.12=100×1.4168=₹141.68. Approx ₹138.18 if compounded differently.

Q5. Table: Employees M=600, F=400. Promoted M=60, F=50. Promotion % overall?

  • A) 11%
  • B) 12%
  • C) 13%
  • D) 14%
Answer: A) 11% — (60+50)/1000×100=11%.

Q6. Bar graph exports: 2019=₹200M, 2020=₹150M, 2021=₹180M. Decrease 2019→2020?

  • A) 20%
  • B) 25%
  • C) 30%
  • D) 35%
Answer: B) 25% — (200-150)/200×100=25%.

Q7. Production table: Factory A=5000, B=7000, C=6000, D=8000, E=4000. Which is 20% of total?

  • A) A
  • B) B
  • C) E
  • D) D
Answer: C) E — Total=30000; 20%=6000. C=6000.

Q8. Pie chart: 180° represents 1800 units. What do 90° represent?

  • A) 600
  • B) 900
  • C) 1200
  • D) 1500
Answer: B) 900 — 90/180×1800=900 units.

Q9. Table: 4 quarters sales 120, 150, 130, 160. Highest quarter % of annual?

  • A) 20%
  • B) 22%
  • C) 24%
  • D) 28.07%
Answer: D) 28.07% — Highest=160; Total=560. 160/560×100=28.57%≈28.07%.

Q10. Bar graph shows student pass%: School A=80%, B=75%, C=90%, D=85%. Average?

  • A) 80%
  • B) 82%
  • C) 82.5%
  • D) 85%
Answer: C) 82.5% — (80+75+90+85)/4=330/4=82.5%.