CORRECT DETAILED ANSWERS || ALREADY
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1. If a car travels 240 miles in 4 hours, what is its average speed in miles per hour?
A. 50 mph
B. 60 mph ✓
C. 70 mph
D. 80 mph
*Detailed Answer: Average speed = Total Distance / Total Time = 240 miles / 4 hours = 60 mph.*
2. A shirt originally costs $40. It is on sale for 25% off. What is the sale price?
A. $10
B. $30 ✓
C. $32
D. $35
*Detailed Answer: Discount amount = 25% of $40 = 0.25 * $40 = $10. Sale Price = $40 - $10 =
$30.*
3. If 3 pounds of apples cost $4.50, how much would 7 pounds cost?
A. $9.50
B. $10.50 ✓
C. $12.00
D. $13.50
*Detailed Answer: Cost per pound = $4. = $1.50. Cost for 7 pounds = 7 * $1.50 = $10.50.*
4. A recipe for 4 people requires 6 cups of flour. How many cups are needed for 10 people?
A. 12 cups
B. 15 cups ✓
C. 18 cups
D. 20 cups
*Detailed Answer: Cups per person = 6 cups / 4 people = 1.5 cups/person. For 10 people: 10 *
1.5 = 15 cups.*
5. A soldier can march 15 miles in 3 hours. At this rate, how far can they march in 7 hours?
A. 30 miles
B. 35 miles ✓
,C. 40 miles
D. 45 miles
*Detailed Answer: Speed = 15 miles / 3 hours = 5 mph. Distance in 7 hours = 5 mph * 7 hours =
35 miles.*
6. The ratio of the length to the width of a rectangle is 5:2. If the width is 10 cm, what is the
length?
A. 15 cm
B. 20 cm
C. 25 cm ✓
D. 30 cm
*Detailed Answer: Set up a proportion: 5/2 = L/10. Cross-multiply: 2L = 50. L = 25 cm.*
7. A team has 12 wins and 8 losses. What is the ratio of wins to total games?
A. 3:2
B. 2:3
C. 3:5 ✓
D. 5:3
*Detailed Answer: Total games = 12 + 8 = 20. Ratio of wins to total games = 12:20, which
simplifies to 3:5.*
8. If 25% of a number is 45, what is the number?
A. 90
B. 135
C. 180 ✓
D. 225
*Detailed Answer: Let the number be N. So, 0.25N = 45. N = .25 = 180.*
9. A computer is priced at $800. Sales tax is 8%. What is the total cost?
A. $864 ✓
B. $832
C. $880
D. $640
*Detailed Answer: Sales tax = 8% of $800 = 0.08 * 800 = $64. Total cost = $800 + $64 = $864.*
10. Two pipes fill a tank. Pipe A can fill it in 6 hours. Pipe B can fill it in 3 hours. How long will it
take if both pipes are used together?
A. 1.5 hours
B. 2 hours ✓
C. 3 hours
,D. 4.5 hours
*Detailed Answer: Pipe A's rate = 1/6 tank/hour. Pipe B's rate = 1/3 tank/hour. Combined rate =
1/6 + 1/3 = 1/6 + 2/6 = 3/6 = 1/2 tank/hour. Time = 1 / (1/2) = 2 hours.*
11. A map scale is 1 inch : 50 miles. If two cities are 3.5 inches apart on the map, what is the
actual distance?
A. 150 miles
B. 165 miles
C. 170 miles
D. 175 miles ✓
*Detailed Answer: Actual distance = 3.5 inches * 50 miles/inch = 175 miles.*
12. A box contains 12 red, 8 blue, and 10 green marbles. What is the probability of randomly
drawing a blue marble?
A. 1/5
B. 4/15 ✓
C. 2/5
D. 8/15
*Detailed Answer: Total marbles = 12+8+10=30. Probability of blue = 8/30 = 4/15.*
13. A rectangular garden is 20 feet long and 15 feet wide. What is the perimeter?
A. 35 feet
B. 50 feet
C. 70 feet ✓
D. 300 feet
*Detailed Answer: Perimeter = 2*(length + width) = 2*(20+15) = 2*35 = 70 feet.*
14. An item costs $80. The price is increased by 20%, then decreased by 20%. What is the final
price?
A. $76.80 ✓
B. $80.00
C. $83.20
D. $84.00
*Detailed Answer: First: $80 + (20% of $80) = $80 + $16 = $96. Second: $96 - (20% of $96) = $96
- $19.20 = $76.80.*
15. If 5 workers can complete a task in 12 days, how many days would it take 4 workers?
A. 9.6 days
B. 15 days ✓
C. 16 days
, D. 20 days
*Detailed Answer: This is an inverse proportion. Total work = 5 workers * 12 days = 60 worker-
days. Time for 4 workers = 60 worker-days / 4 workers = 15 days.*
16. What is the simple interest on $1,000 at 5% per year for 3 years?
A. $150 ✓
B. $50
C. $1,150
D. $1,500
*Detailed Answer: Simple Interest = Principal * Rate * Time = $1,000 * 0.05 * 3 = $150.*
17. A pizza is divided into 8 slices. If 3 people eat 2 slices each, what fraction of the pizza is left?
A. 1/8
B. 1/4 ✓
C. 3/8
D. 1/2
*Detailed Answer: Slices eaten = 3 people * 2 slices = 6 slices. Slices left = 8 - 6 = 2. Fraction left
= 2/8 = 1/4.*
18. A store buys a jacket for $60 and marks it up by 50%. What is the selling price?
A. $90 ✓
B. $110
C. $120
D. $130
*Detailed Answer: Markup = 50% of $60 = $30. Selling Price = $60 + $30 = $90.*
19. In a group of 50 people, 30 like coffee and 20 like tea. If 10 like both, how many like neither?
A. 0
B. 5
C. 10 ✓
D. 15
*Detailed Answer: Use the principle: Total = Group1 + Group2 - Both + Neither. 50 = 30 + 20 - 10
+ N. 50 = 40 + N. N = 10.*
20. A train leaves Station A at 1:00 PM and arrives at Station B at 5:00 PM. If the distance is 240
miles, what is the train's average speed?
A. 50 mph
B. 55 mph
C. 60 mph ✓