Revelian Test Numerical Reasoning Word Problems 2 โ Questions and Answers
Question 1: A factory produces 1,440 units in an 8-hour shift. If the production rate increases by 25%, how many units will be produced in a 6-hour shift?
- 1,350 (Correct answer)
- 1,620
- 1,440
- 1,800
Correct answer: 1,350
New rate = (1,440/8) ร 1.25 = 225 units/hr; in 6 hrs = 225 ร 6 = 1,350.
Question 2: A store marks up its wholesale price by 40% to set the retail price. If a jacket retails for $98, what was the wholesale price?
- $58.80
- $65.00
- $70.00 (Correct answer)
- $78.40
Correct answer: $70.00
Wholesale ร 1.40 = $98, so wholesale = $98 รท 1.40 = $70.00.
Question 3: A tank is 3/5 full. After 140 liters are removed, it is 1/5 full. What is the tank's total capacity?
- 280 liters
- 300 liters
- 350 liters (Correct answer)
- 420 liters
Correct answer: 350 liters
3/5 C โ 1/5 C = 2/5 C = 140 liters; C = 140 ร 5/2 = 350 liters.
Question 4: An investment of $5,000 earns simple interest at 6% per annum. How much interest is earned over 30 months?
- $750 (Correct answer)
- $900
- $1,000
- $1,125
Correct answer: $750
I = 5,000 ร 0.06 ร (30/12) = 5,000 ร 0.06 ร 2.5 = $750.
Question 5: A company's revenue grew from $2.4M to $3.12M over two years. What was the average annual percentage growth (simple average)?
- 12.5%
- 15% (Correct answer)
- 16%
- 30%
Correct answer: 15%
Total growth = ($3.12M โ $2.4M) / $2.4M = 30%; simple annual average = 30% รท 2 = 15%.
Question 6: A salesperson earns $2,400/month base plus 5% commission on all sales. If she makes $18,000 in sales, what are her total monthly earnings?
- $2,900
- $3,000
- $3,300 (Correct answer)
- $3,600
Correct answer: $3,300
Commission = $18,000 ร 0.05 = $900; total = $2,400 + $900 = $3,300.
Question 7: A 60-question test awards 2 points for each correct answer and deducts 0.5 points for each wrong answer. A student answers all 60 questions and scores 90 points. How many questions did the student answer correctly?
- 42
- 45
- 48 (Correct answer)
- 50
Correct answer: 48
Let c = correct; 2c โ 0.5(60โc) = 90 โ 2c โ 30 + 0.5c = 90 โ 2.5c = 120 โ c = 48.
A factory produces 1,440 units in an 8-hour shift.
If the production rate increases by 25%, how many units will be produced in a 6-hour shift?