PI Value Comparison Problems 4 — Questions and Answers
Question 1: Which is larger: 2/3 of 90, or 3/4 of 80?
- 2/3 of 90 (60)
- 3/4 of 80 (60)
- They are equal (Correct answer)
- Cannot be determined
Correct answer: They are equal
2/3 × 90 = 60 and 3/4 × 80 = 60, so both expressions equal 60.
Question 2: Compare 4! (4 factorial) and 25. Which is greater?
- 4!
- 25 (Correct answer)
- They are equal
- Cannot be determined
Correct answer: 25
4! = 4 × 3 × 2 × 1 = 24, which is less than 25.
Question 3: In a class, 40% of 50 students passed. In another class, 35% of 60 students passed. Which class had more students pass?
- First class (20 students)
- Second class (21 students) (Correct answer)
- They are equal
- Cannot be determined
Correct answer: Second class (21 students)
40% of 50 = 20 students; 35% of 60 = 21 students, so the second class had more pass.
Question 4: Compare: 0.1^2 vs. 0.01. Which is larger?
- 0.1^2
- 0.01
- They are equal (Correct answer)
- Cannot be determined
Correct answer: They are equal
0.1^2 = 0.01, which equals 0.01 exactly.
Question 5: Which expression has the greatest value: 10% of 500, 20% of 240, or 50% of 100?
- 10% of 500 (50) (Correct answer)
- 20% of 240 (48)
- 50% of 100 (50)
- They are all equal
Correct answer: 10% of 500 (50)
10% of 500 = 50, 20% of 240 = 48, 50% of 100 = 50; first and third tie but 48 < 50.
Question 6: Person A earns $15/hour and works 8 hours. Person B earns $12/hour and works 11 hours. Who earns more?
- Person A ($120)
- Person B ($132) (Correct answer)
- They earn the same
- Cannot be determined
Correct answer: Person B ($132)
Person A earns $15 × 8 = $120; Person B earns $12 × 11 = $132, so Person B earns more.
Question 7: Compare: the average of {4, 8, 12} vs. the average of {5, 7, 12}. Which is greater?
- Average of {4, 8, 12} (8)
- Average of {5, 7, 12} (8)
- They are equal (Correct answer)
- Cannot be determined
Correct answer: They are equal
(4+8+12)/3 = 24/3 = 8 and (5+7+12)/3 = 24/3 = 8, so both averages are equal.
PI Value Comparison Problems 4
Which is larger: 2/3 of 90, or 3/4 of 80?