Numerical sample questions
29 numerical items with the correct answer and explanation.
Q1. A company's revenue grew from $80M to $100M. What is the percentage growth?
- A. 20%
- B. 25%correct
- C. 30%
- D. 33%
(100-80)/80 = 25%
Q2. If 15% of X is 60, what is X?
- A. 300
- B. 400correct
- C. 450
- D. 900
X = 60 / 0.15 = 400
Q3. A store offers 20% off, then an extra 10% off. Total discount?
- A. 28%correct
- B. 30%
- C. 32%
- D. 25%
1 - 0.8*0.9 = 0.28 = 28%
Q4. Profit margin is 12% on revenue of $250M. What is the profit?
- A. $25M
- B. $28M
- C. $30Mcorrect
- D. $36M
250 * 0.12 = 30
Q5. A factory produces 240 units in 8 hours. At the same rate, how many in 15 hours?
- A. 360
- B. 420
- C. 450correct
- D. 480
240/8 = 30 per hour; 30*15 = 450
Q6. Two products: A has margin 30% on $200, B has margin 20% on $400. Total profit?
- A. $140correct
- B. $120
- C. $160
- D. $100
60 + 80 = 140
Q7. A bond pays 5% per year compounded annually. Value of $1000 after 2 years?
- A. $1100
- B. $1102.50correct
- C. $1105
- D. $1050
1000 * 1.05^2 = 1102.5
Q8. Market size is $500M growing 8% per year. Size in 3 years (approx)?
- A. $600M
- B. $630Mcorrect
- C. $650M
- D. $720M
500 * 1.08^3 ≈ 630
Q9. Cost per unit dropped from $40 to $32. Percentage decrease?
- A. 15%
- B. 18%
- C. 20%correct
- D. 25%
(40-32)/40 = 20%
Q10. A team of 6 finishes a job in 10 days. How many days for 4 people at the same rate?
- A. 12
- B. 14
- C. 15correct
- D. 18
6*10 = 60 person-days; 60/4 = 15
Q11. A pie chart shows 35% Europe, 25% Asia, 20% Americas, rest is "Other". Other is?
- A. 15%
- B. 18%
- C. 20%correct
- D. 25%
100 - 35 - 25 - 20 = 20%
Q12. EBITDA of $80M on revenue of $500M. EBITDA margin?
- A. 12%
- B. 14%
- C. 16%correct
- D. 18%
80/500 = 16%
Q13. A store sells shirts at $24 each. With a 25% discount, what is the new price?
- A. $16
- B. $18correct
- C. $20
- D. $22
24 × 0.75 = 18.
Q14. If a project takes 6 people 8 days, how many days for 4 people (same rate)?
- A. 10
- B. 11
- C. 12correct
- D. 14
6×8=48 person-days; 48/4=12.
Q15. A car travels 180 miles in 3 hours. At the same pace, how long to travel 300 miles?
- A. 4h
- B. 4.5h
- C. 5hcorrect
- D. 6h
60 mph; 300/60 = 5h.
Q16. Compound: $1000 at 10% for 2 years (annual). Final value?
- A. $1200
- B. $1210correct
- C. $1220
- D. $1250
1000×1.1² = 1210.
Q17. Product A sells for $5 with $2 profit; Product B sells for $8 with $3 profit. Which has the higher profit margin (%)?
- A. Acorrect
- B. B
- C. Equal
- D. Cannot tell
A: 2/5 = 40%. B: 3/8 = 37.5%. A has the higher margin.
Q18. Market share grew from 8% to 12%. Relative growth?
- A. 33%
- B. 40%
- C. 50%correct
- D. 60%
(12-8)/8 = 50%.
Q19. If 3x + 5 = 20, what is x?
- A. 3
- B. 4
- C. 5correct
- D. 6
3x=15, x=5.
Q20. A pie chart shows 30% Region A, 25% B, 20% C. If total is $400M, Region A revenue?
- A. $100M
- B. $120Mcorrect
- C. $130M
- D. $140M
0.30 × 400 = 120.
Q21. Break-even: fixed costs $50k, contribution per unit $25. Units needed?
- A. 1000
- B. 1500
- C. 2000correct
- D. 2500
50000/25 = 2000.
Q22. A company's costs rose 8% and revenue rose 12%. If margin was 20%, new margin (approx)?
- A. 20%
- B. 22%
- C. 23%correct
- D. 24%
Rev 112, Cost 80×1.08=86.4, margin 25.6/112 ≈ 22.9%.
Q23. Convert 7/8 to a percentage.
- A. 75%
- B. 80%
- C. 87.5%correct
- D. 90%
7÷8 = 0.875.
Q24. Sum of integers 1 to 20?
- A. 190
- B. 200
- C. 210correct
- D. 220
n(n+1)/2 = 20×21/2 = 210.
Q25. If a recipe needs 2 cups flour for 12 cookies, how many cups for 30 cookies?
- A. 4
- B. 5correct
- C. 6
- D. 7
2×30/12 = 5.
Q26. $500 invested at 6% simple interest for 3 years yields total interest of?
- A. $60
- B. $80
- C. $90correct
- D. $120
500×0.06×3 = 90.
Q27. Average of 12, 14, 16, 18, 20?
- A. 14
- B. 15
- C. 16correct
- D. 17
Sum 80; 80/5 = 16.
Q28. A factory produces 500 units/day. Output drops 20%. New daily output?
- A. 380
- B. 400correct
- C. 420
- D. 450
500 × 0.80 = 400.
Q29. If 1 USD = 0.85 EUR, what is 250 USD in EUR?
- A. 210
- B. 212.50correct
- C. 215
- D. 220
250 × 0.85 = 212.5.