PI Value Comparison Problems 5

Question 1

Which is greater: the ratio 5:8 or the ratio 7:11?

Accepted Answer

7:11 (≈0.636)

Answer

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?

Accepted Answer

They are equal

Answer

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?

Accepted Answer

First tank (200 gallons total, 120 in)

Answer

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?

Accepted Answer

They are equal

Answer

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?

Accepted Answer

They are equal

Answer

2.5% × 400 = 10 and 0.5% × 2000 = 10, so both are equal.

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