Practice Questions
Concept Explanation
Pie charts show parts of a whole as sectors. The full circle = 360° or 100% of the total.
How to Read Pie Charts
- Each sector’s angle or percentage represents its share.
- All sectors together sum to 360° or 100%.
Calculation Shortcuts
- Angle = (value ÷ total) × 360°.
- Value from angle = (angle ÷ 360) × total.
- Percentage = (value ÷ total) × 100.
Example
Sectors 90, 120, 150 (total 360). First sector angle = (90/360) × 360° = 90°.
Common Trap
Similar-looking slices may differ if the chart uses an exploded (separated) sector—always use numbers or angles.
-
Q1 Easy
Pie sectors: A = 90, B = 120, C = 150 (total 360). Angle for A is:
Explanation(90/360) × 360° = 90°. -
Q2 Easy
Total = 600; sector B = 150. B’s percentage share is:
Explanation(150/600) × 100 = 25%. -
Q3 Medium
A 72° sector out of total Rs. 500 lakh represents:
ExplanationValue = (72/360) × 500 = 100 lakh. -
Q4 Easy
Three sectors are 25%, 35% and 40%. The 35% sector of total 800 is:
Explanation0.35 × 800 = 280. -
Q5 Medium
Sector angles: 60°, 90°, 120°. Remaining sector angle is:
Explanation360° − (60 + 90 + 120) = 90°. -
Q6 Medium
Total 480; a 120° sector value is:
Explanation(120/360) × 480 = 160. -
Q7 Easy
Two sectors are 20% and 30%. The third is 50%. On total 1000, the largest sector is:
Explanation50% of 1000 = 500.
-
Q8 Medium
Sector P = 108° on total 900. Value of P is:
Explanation(108/360) × 900 = 270. -
Q9 Easy
A sector is 15% of Rs. 2000 lakh. Its value is:
Explanation0.15 × 2000 = 300 lakh. -
Q10 Easy
Four equal sectors in a pie chart. Each sector angle is:
Explanation360°/4 = 90° each. -
Q11 Medium
Sectors 100, 140, 160 (total 400). Ratio of smallest to largest is:
Explanation100 : 160 = 5 : 8. -
Q12 Hard
A 45° sector represents Rs. 50 lakh. Total amount is:
ExplanationTotal = 50 × (360/45) = 50 × 8 = 400 lakh. -
Q13 Easy
Sector X = 24% and Sector Y = 36%. Sector Y exceeds X by what percentage points?
Explanation36% − 24% = 12 percentage points. -
Q14 Hard
Total 720; sectors in ratio 1 : 2 : 3. The middle sector value is:
ExplanationParts 1+2+3=6. Middle (2 parts) = (2/6) × 720 = 240.
-
DS1 Easy
What is the angle of a sector worth 90 out of total 360?
Statement ISector value = 90 and total = 360.
Statement IIThe sector is one-fourth of the pie.
ExplanationEach alone: angle = (90/360) × 360° = 90°. -
DS2 Medium
What is the value of a 120° sector when total = 480?
Statement ICentral angle = 120°.
Statement IITotal of all sectors = 480.
ExplanationNeed both angle and total: (120/360) × 480 = 160.
-
DS3 Easy
What is the percentage share of a Rs. 150 lakh sector in total Rs. 600 lakh?
Statement ISector = Rs. 150 lakh.
Statement IITotal = Rs. 600 lakh.
ExplanationNeed both: (150/600) × 100 = 25%. -
DS4 Medium
What is the remaining sector angle if three angles are 60°, 90° and 120°?
Statement IThe three angles sum to 270°.
Statement IIThe pie has four sectors.
ExplanationStatement I alone: remaining = 360° − 270° = 90°.