Percentage & Data Analysis
Q1. 25% of 200 is
Correct Answer: C. 50
Explanation: 25% of 200 = (25/100) × 200 = 50.
Explanation: 25% of 200 = (25/100) × 200 = 50.
Q2. 40% of 250 is
Correct Answer: B. 100
Explanation: 40% of 250 = (40/100) × 250 = 100.
Explanation: 40% of 250 = (40/100) × 250 = 100.
Q3. Convert 0.45 into a percentage.
Correct Answer: B. 45%
Explanation: To convert a decimal into a percentage, multiply by 100: 0.45 × 100 = 45%.
Explanation: To convert a decimal into a percentage, multiply by 100: 0.45 × 100 = 45%.
Q4. Express 3/5 as a percentage.
Correct Answer: C. 60%
Explanation: 3/5 × 100 = 60%.
Explanation: 3/5 × 100 = 60%.
Q5. 15% as a fraction in lowest terms is
Correct Answer: B. 3/20
Explanation: 15% = 15/100. Dividing the numerator and denominator by their HCF of 5 yields 3/20.
Explanation: 15% = 15/100. Dividing the numerator and denominator by their HCF of 5 yields 3/20.
Q6. In a class of 40 students, 30 passed. The pass percentage is
Correct Answer: C. 75%
Explanation: Pass percentage = (30/40) × 100 = 75%.
Explanation: Pass percentage = (30/40) × 100 = 75%.
Q7. A number increases from 50 to 60. The percentage increase is
Correct Answer: C. 20%
Explanation: The increase amount is 60 – 50 = 10. Percentage increase = (10/50) × 100 = 20%.
Explanation: The increase amount is 60 – 50 = 10. Percentage increase = (10/50) × 100 = 20%.
Q8. What is 12.5% of 800?
Correct Answer: B. 100
Explanation: 12.5% of 800 = (12.5/100) × 800 = 100.
Explanation: 12.5% of 800 = (12.5/100) × 800 = 100.
Q9. If 20% of a number is 30, the number is
Correct Answer: C. 150
Explanation: Let the number be x. 0.20 × x = 30, which gives x = 30/0.20 = 150.
Explanation: Let the number be x. 0.20 × x = 30, which gives x = 30/0.20 = 150.
Q10. A price decreased from 400 to 320. Find the percentage decrease.
Correct Answer: B. 20%
Explanation: The decrease is 400 – 320 = 80. Percentage decrease = (80/400) × 100 = 20%.
Explanation: The decrease is 400 – 320 = 80. Percentage decrease = (80/400) × 100 = 20%.
Q11. Compare 2/3 and 4/7. Which is greater?
Correct Answer: A. 2/3
Explanation: By cross-multiplying, 2 × 7 = 14 and 3 × 4 = 12. Since 14 > 12, it follows that 2/3 > 4/7.
Explanation: By cross-multiplying, 2 × 7 = 14 and 3 × 4 = 12. Since 14 > 12, it follows that 2/3 > 4/7.
Q12. A student got 360 marks out of 500. The percentage is
Correct Answer: D. 72%
Explanation: Percentage = (360/500) × 100 = 72%.
Explanation: Percentage = (360/500) × 100 = 72%.
Q13. What percentage of 80 is 20?
Correct Answer: B. 25%
Explanation: Percentage = (20/80) × 100 = 25%.
Explanation: Percentage = (20/80) × 100 = 25%.
Q14. 30% of 90 + 20% of 60 equals
Correct Answer: C. 39
Explanation: 30% of 90 = 27, and 20% of 60 = 12. Their sum is 27 + 12 = 39.
Explanation: 30% of 90 = 27, and 20% of 60 = 12. Their sum is 27 + 12 = 39.
Q15. If 60% of x = 90 then x equals
Correct Answer: C. 150
Explanation: 0.60 × x = 90, which simplifies to x = 90/0.60 = 150.
Explanation: 0.60 × x = 90, which simplifies to x = 90/0.60 = 150.
Q16. A salary of 20,000 is increased by 10%. The new salary is
Correct Answer: B. 22,000
Explanation: The salary increase is 10% of 20,000 = 2,000. New salary = 20,000 + 2,000 = 22,000.
Explanation: The salary increase is 10% of 20,000 = 2,000. New salary = 20,000 + 2,000 = 22,000.
Q17. In an exam of 60 questions, a student answered 45 correctly. His accuracy is
Correct Answer: C. 75%
Explanation: Accuracy rate = (45/60) × 100 = 75%.
Explanation: Accuracy rate = (45/60) × 100 = 75%.
Q18. What is 5% of 1 hour in minutes?
Correct Answer: B. 3 minutes
Explanation: 1 hour is equivalent to 60 minutes. 5% of 60 minutes = 0.05 × 60 = 3 minutes.
Explanation: 1 hour is equivalent to 60 minutes. 5% of 60 minutes = 0.05 × 60 = 3 minutes.
Q19. A number when increased by 25% becomes 75. The original number is
Correct Answer: C. 60
Explanation: Let the original number be x. x × 1.25 = 75, which means x = 75/1.25 = 60.
Explanation: Let the original number be x. x × 1.25 = 75, which means x = 75/1.25 = 60.
Q20. 80% of 75 equals
Correct Answer: C. 60
Explanation: 0.80 × 75 = 60.
Explanation: 0.80 × 75 = 60.
Q21. If 35% of students of a class are 14, the total number of students is
Correct Answer: C. 40
Explanation: Let the total number of students be n. 0.35 × n = 14, which means n = 14/0.35 = 40.
Explanation: Let the total number of students be n. 0.35 × n = 14, which means n = 14/0.35 = 40.
