PI Value Comparison Problems 2 — Questions and Answers
Question 1: Which value is greatest: 3/4, 0.7, 72%, or 7/10?
- 3/4 (Correct answer)
- 0.7
- 72%
- 7/10
Correct answer: 3/4
3/4 = 0.75, which is greater than 0.72, 0.70, and 0.70.
Question 2: If A = 2^5 and B = 5^2, which statement is true?
- A > B (Correct answer)
- A < B
- A = B
- Cannot be determined
Correct answer: A > B
2^5 = 32 and 5^2 = 25, so A > B.
Question 3: A store sells 3 items for $7.50. Another sells 5 items for $12.00. Which store has the lower unit price?
- First store ($2.50 each)
- Second store ($2.40 each) (Correct answer)
- They are equal
- Cannot be determined
Correct answer: Second store ($2.40 each)
First store: $7.50/3 = $2.50; second store: $12.00/5 = $2.40, so the second store is cheaper.
Question 4: Compare: √81 vs. 9.1 — which is larger?
- √81
- 9.1 (Correct answer)
- They are equal
- Cannot be determined
Correct answer: 9.1
√81 = 9.0 exactly, which is less than 9.1.
Question 5: Column A: 15% of 200. Column B: 25% of 120. Which is greater?
- Column A
- Column B
- They are equal (Correct answer)
- Cannot be determined
Correct answer: They are equal
15% of 200 = 30 and 25% of 120 = 30, so they are equal.
Question 6: Which fraction is smallest: 5/8, 3/5, 11/20, or 7/12?
- 5/8
- 3/5
- 11/20 (Correct answer)
- 7/12
Correct answer: 11/20
Converting to decimals: 5/8=0.625, 3/5=0.600, 11/20=0.550, 7/12≈0.583, so 11/20 is smallest.
Question 7: A car travels 180 miles in 3 hours; another travels 260 miles in 4 hours. Which has the higher average speed?
- First car (60 mph)
- Second car (65 mph) (Correct answer)
- They are equal
- Cannot be determined
Correct answer: Second car (65 mph)
First car: 180/3 = 60 mph; second car: 260/4 = 65 mph, so the second car is faster.
PI Value Comparison Problems 2
Which value is greatest: 3/4, 0.7, 72%, or 7/10?