Easy #1
If $1 = $1.5, how much is $200 in dollars?
A. 133.33
B. 300
C. 310
D. 200
Answer: B
Explanation:
$200 × 1.5 = $300
Numerical Reasoning Practice Questions with Answers
Practice with 30 sample questions organized by difficulty. Click “Show Answer” to reveal the correct answer and explanation.
Easy
Easy #2
If 130 is increased by 50%, what is the result?
A. 65
B. 130
C. 214.5
D. 195
Answer: D
Explanation:
130 increased by 50% = 130 × 1.5 = 195
Easy #3
If $1 = $1.5, how much is $200 in dollars?
A. 300
B. 310
C. 200
D. 133.33
Answer: A
Explanation:
$200 × 1.5 = $300
Easy #4
If 50 is decreased by 15%, what is the result?
A. 50
B. 42.5
C. 46.75
D. 7.5
Answer: B
Explanation:
50 decreased by 15% = 50 × 0.85 = 42.5
Easy #5
If A and B are in the ratio 2:3, and A = 4, what is B?
A. 9
B. 3
C. 4
D. 6
Answer: D
Explanation:
A:B = 2:3. If A = 4, then multiplier = 4/2 = 2. So B = 3 × 2 = 6
Easy #6
If $1 = $1.1, how much is $500 in dollars?
A. 560
B. 500
C. 454.55
D. 550
Answer: D
Explanation:
$500 × 1.1 = $550
Easy #7
If A and B are in the ratio 2:5, and A = 16, what is B?
A. 45
B. 5
C. 40
D. 16
Answer: C
Explanation:
A:B = 2:5. If A = 16, then multiplier = 16/2 = 8. So B = 5 × 8 = 40
Easy #8
A car travels 160 km at 80 km/h. How many hours does the journey take?
A. 2
B. 1
C. 12
D. 4
Answer: A
Explanation:
Time = Distance ÷ Speed = 160 ÷ 80 = 2 hours
Easy #9
A car covers 160 km in 2 hours. What is its speed in km/h?
A. 160
B. 40
C. 80
D. 90
Answer: C
Explanation:
Speed = Distance ÷ Time = 160 ÷ 2 = 80 km/h
Easy #10
If A and B are in the ratio 3:5, and A = 24, what is B?
A. 24
B. 40
C. 5
D. 45
Answer: B
Explanation:
A:B = 3:5. If A = 24, then multiplier = 24/3 = 8. So B = 5 × 8 = 40
Medium
Medium #11
A car covers 200 km in 4 hours. What is its speed in km/h?
A. 60
B. 50
C. 25
D. 100
Answer: B
Explanation:
Speed = Distance ÷ Time = 200 ÷ 4 = 50 km/h
Medium #12
If 60 is increased by 10%, what is the result?
A. 66
B. 72.6
C. 60
D. 6
Answer: A
Explanation:
60 increased by 10% = 60 × 1.1 = 66
Medium #13
If $1 = $2, how much is $500 in dollars?
A. 1000
B. 1010
C. 500
D. 250
Answer: A
Explanation:
$500 × 2 = $1000
Medium #14
What is 40% of 100?
A. 80
B. 40
C. 20
D. 50
Answer: B
Explanation:
40% of 100 = 100 × 40/100 = 40
Medium #15
If 170 is decreased by 50%, what is the result?
A. 170
B. 85
C. 93.5
D. 76.5
Answer: B
Explanation:
170 decreased by 50% = 170 × 0.5 = 85
Medium #16
If A and B are in the ratio 2:5, and A = 14, what is B?
A. 40
B. 35
C. 14
D. 5
Answer: B
Explanation:
A:B = 2:5. If A = 14, then multiplier = 14/2 = 7. So B = 5 × 7 = 35
Medium #17
After a 50% increase, a price is now $150. What was the original price?
A. 90
B. 150
C. 75
D. 100
Answer: D
Explanation:
If original × 1.5 = 150, then original = 150 ÷ 1.5 = $100
Medium #18
If $1 = $1.2, how much is $500 in dollars?
A. 610
B. 600
C. 500
D. 416.67
Answer: B
Explanation:
$500 × 1.2 = $600
Medium #19
A sum of $25 is divided in the ratio 2:3. What is the smaller share?
A. 10
B. 12.5
C. 5
D. 15
Answer: A
Explanation:
Total parts = 2 + 3 = 5. Smaller share = 25 × 2/5 = $10
Medium #20
A sum of $70 is divided in the ratio 3:4. What is the smaller share?
A. 45
B. 30
C. 40
D. 35
Answer: B
Explanation:
Total parts = 3 + 4 = 7. Smaller share = 70 × 3/7 = $30
Hard
Hard #21
2 litres of a 15% solution is mixed with 6 litres of a 40% solution. What is the concentration of the mixture?
A. 28.8
B. 15
C. 38.8
D. 33.8
E. 27.5
Answer: D
Explanation:
Total solute = 2 × 15/100 + 6 × 40/100 = 0.3 + 2.4 = 2.6999999999999997. Total volume = 8. Concentration = 2.6999999999999997/8 × 100 = 33.8%
Hard #22
Exam A (30% weight) scored 58 and Exam B (70% weight) scored 74. What is the weighted average?
A. 69.2
B. 64.2
C. 74.2
D. 66
E. 62.8
Answer: A
Explanation:
(30% × 58 + 70% × 74) / 100 = (1740 + 5180) / 100 = 69.2
Hard #23
4 litres of a 25% solution is mixed with 2 litres of a 60% solution. What is the concentration of the mixture?
A. 31.7
B. 25
C. 36.7
D. 42.5
E. 41.7
Answer: C
Explanation:
Total solute = 4 × 25/100 + 2 × 60/100 = 1 + 1.2 = 2.2. Total volume = 6. Concentration = 2.2/6 × 100 = 36.7%
Hard #24
An item costs $70 and is sold for $105. What is the profit?
A. 17.5
B. 15
C. 105
D. 70
E. 35
Answer: E
Explanation:
Profit = Selling price - Cost = $105 - $70 = $35
Hard #25
8 litres of a 15% solution is mixed with 8 litres of a 80% solution. What is the concentration of the mixture?
A. 52.5
B. 42.5
C. 15
D. 27.5
E. 47.5
Answer: E
Explanation:
Total solute = 8 × 15/100 + 8 × 80/100 = 1.2 + 6.4 = 7.6000000000000005. Total volume = 16. Concentration = 7.6000000000000005/16 × 100 = 47.5%
Hard #26
Exam A (40% weight) scored 97 and Exam B (60% weight) scored 51. What is the weighted average?
A. 74.4
B. 69.4
C. 78.6
D. 74
E. 64.4
Answer: B
Explanation:
(40% × 97 + 60% × 51) / 100 = (3880 + 3060) / 100 = 69.4
Hard #27
A sum of $9 is divided in the ratio 1:2. What is the smaller share?
A. 28
B. 1.5
C. 4.5
D. 3
E. 6
Answer: D
Explanation:
Total parts = 1 + 2 = 3. Smaller share = 9 × 1/3 = $3
Hard #28
8 litres of a 20% solution is mixed with 5 litres of a 50% solution. What is the concentration of the mixture?
A. 26.5
B. 31.5
C. 20
D. 36.5
E. 35
Answer: B
Explanation:
Total solute = 8 × 20/100 + 5 × 50/100 = 1.6 + 2.5 = 4.1. Total volume = 13. Concentration = 4.1/13 × 100 = 31.5%
Hard #29
If 6 workers can complete a job in 8 days, how many days would 8 workers take?
A. 11
B. 6
C. 12
D. 8
E. 3
Answer: B
Explanation:
Total work = 6 × 8 = 48 worker-days. With 8 workers: 48 ÷ 8 = 6 days
Hard #30
A sum of $28 is divided in the ratio 1:3. What is the smaller share?
A. 7
B. 14
C. 21
D. 3.5
E. 10.5
Answer: A
Explanation:
Total parts = 1 + 3 = 4. Smaller share = 28 × 1/4 = $7
Frequently Asked Questions
You'll encounter percentage calculations, ratio problems, rate/work problems, profit margins, and multi-step word problems. Each question presents a real-world scenario requiring mathematical reasoning.
Nearly all major employers: investment banks, consulting firms (McKinsey, BCG, Bain), Big 4 accounting, tech companies, and graduate programs. SHL, Korn Ferry, and Talent Q tests heavily feature numerical reasoning.
Master mental math shortcuts: 10% = divide by 10, 5% = half of 10%, 25% = divide by 4. For reverse percentages, if X after Y% increase, original = X ÷ (1 + Y/100). Practice estimation to quickly eliminate wrong answers.
Each question is procedurally generated using realistic business scenarios with randomized values. The system creates word problems involving percentages, ratios, rates, and multi-step calculations, then generates plausible distractors based on common calculation errors. This ensures every question has a single correct answer and provides unlimited unique practice.