General Aptitude

Data Interpretation sets Tutorial

This tutorial breaks Data Interpretation sets into high-frequency exam patterns with step-by-step methods. Use these solved frameworks before attempting full timed quizzes.

Direct Formula Application

Open

Use the standard Data Interpretation sets formula directly when the question gives all inputs.

Reverse / Inverse Solving

Open

When final result is given but original value is asked, reverse the equation.

Word Problem Translation

Open

Convert verbal statements into equations before solving.

Direct Formula Application

Use the standard Data Interpretation sets formula directly when the question gives all inputs.

When to Use: Use this when all required values are explicitly given and no reverse logic is needed.

Step-by-Step Method

  1. Identify the exact quantity asked (result, rate, value, distance, etc.).
  2. Map given values to the formula variables.
  3. Substitute carefully and simplify one operation at a time.
  4. Cross-check unit consistency and compare with options.

Worked Example

Question: Find 25% of 640.

  1. Percentage means per 100, so 25% = 25/100.
  2. Compute: (25/100) x 640.
  3. First divide 640 by 100 = 6.4.
  4. Then multiply 6.4 x 25 = 160.

Final Answer: 160

Option Analysis

Common Mistakes

Quick Shortcut: 25% = one-fourth, 50% = half, 10% = divide by 10. Use these mental anchors first.

Practice This Pattern

Generated 10 focused questions for this pattern.

Q1. What is 20% of 660?

  • 140
  • 128
  • 132
  • 136

Answer: 132

Explanation: Step 1: Percentage to fraction -> 20/100. Step 2: Multiply with base -> (20/100) x 660 = 132.

Q2. What is 10% of 720?

  • 80
  • 68
  • 76
  • 72

Answer: 72

Explanation: Step 1: Percentage to fraction -> 10/100. Step 2: Multiply with base -> (10/100) x 720 = 72.

Q3. What is 30% of 580?

  • 182
  • 170
  • 174
  • 178

Answer: 174

Explanation: Step 1: Percentage to fraction -> 30/100. Step 2: Multiply with base -> (30/100) x 580 = 174.

Q4. What is 30% of 700?

  • 206
  • 214
  • 210
  • 218

Answer: 210

Explanation: Step 1: Percentage to fraction -> 30/100. Step 2: Multiply with base -> (30/100) x 700 = 210.

Q5. What is 10% of 120?

  • 16
  • 20
  • 8
  • 12

Answer: 12

Explanation: Step 1: Percentage to fraction -> 10/100. Step 2: Multiply with base -> (10/100) x 120 = 12.

Q6. What is 15% of 420?

  • 67
  • 59
  • 71
  • 63

Answer: 63

Explanation: Step 1: Percentage to fraction -> 15/100. Step 2: Multiply with base -> (15/100) x 420 = 63.

Q7. What is 25% of 260?

  • 65
  • 69
  • 73
  • 61

Answer: 65

Explanation: Step 1: Percentage to fraction -> 25/100. Step 2: Multiply with base -> (25/100) x 260 = 65.

Q8. What is 10% of 320?

  • 28
  • 32
  • 36
  • 40

Answer: 32

Explanation: Step 1: Percentage to fraction -> 10/100. Step 2: Multiply with base -> (10/100) x 320 = 32.

Q9. What is 40% of 340?

  • 132
  • 140
  • 136
  • 144

Answer: 136

Explanation: Step 1: Percentage to fraction -> 40/100. Step 2: Multiply with base -> (40/100) x 340 = 136.

Q10. What is 25% of 440?

  • 114
  • 110
  • 106
  • 118

Answer: 110

Explanation: Step 1: Percentage to fraction -> 25/100. Step 2: Multiply with base -> (25/100) x 440 = 110.