PI Value Comparison Problems 5 — Questions and Answers
Question 1: Which is greater: the ratio 5:8 or the ratio 7:11?
- 5:8 (0.625)
- 7:11 (≈0.636) (Correct answer)
- They are equal
- Cannot be determined
Correct answer: 7:11 (≈0.636)
5/8 = 0.625 and 7/11 ≈ 0.6364, so 7:11 is the greater ratio.
Question 2: Compare: the sum of the first 5 positive odd numbers vs. 5^2. Which is greater?
- Sum of first 5 odd numbers
- 5^2
- They are equal (Correct answer)
- Cannot be determined
Correct answer: They are equal
1+3+5+7+9 = 25 = 5^2, so they are equal.
Question 3: A tank is 3/5 full with 120 gallons. Another tank holds 200 gallons total and is 55% full. Which tank contains more water?
- First tank (200 gallons total, 120 in) (Correct answer)
- Second tank (110 gallons)
- They contain the same
- Cannot be determined
Correct answer: First tank (200 gallons total, 120 in)
First tank holds 120 gallons; second tank holds 55% × 200 = 110 gallons, so the first has more.
Question 4: Compare: 18/24 simplified vs. 3/4. Which is greater?
- 18/24
- 3/4
- They are equal (Correct answer)
- Cannot be determined
Correct answer: They are equal
18/24 simplifies to 3/4 by dividing numerator and denominator by 6, so they are equal.
Question 5: Which is larger: 2.5% of 400 or 0.5% of 2000?
- 2.5% of 400 (10)
- 0.5% of 2000 (10)
- They are equal (Correct answer)
- Cannot be determined
Correct answer: They are equal
2.5% × 400 = 10 and 0.5% × 2000 = 10, so both are equal.
Question 6: Compare: −|−15| vs. −15. Which is greater?
- −|−15|
- −15
- They are equal (Correct answer)
- Cannot be determined
Correct answer: They are equal
−|−15| = −15 and −15 = −15, so they are equal.
Question 7: Column A: 12 × 25. Column B: 15 × 20. Which is greater?
- Column A (300)
- Column B (300)
- They are equal (Correct answer)
- Cannot be determined
Correct answer: They are equal
12 × 25 = 300 and 15 × 20 = 300, so both columns are equal.
Which is greater: the ratio 5:8 or the ratio 7:11?