PI Value Comparison Problems 3

Question 1

Compare: (−3)^2 vs. −3^2. Which is greater?

Accepted Answer

(−3)^2

Answer

(−3)^2 = 9, while −3^2 = −9, so (−3)^2 is greater.

Question 2

Which is larger: 40% of 3/5, or 3/5 of 40%?

Accepted Answer

They are equal

Answer

Multiplication is commutative: 0.40 × 0.60 = 0.60 × 0.40 = 0.24 in both cases.

Question 3

Store A offers 30% off $80. Store B offers $25 off the same item. Which deal saves more money?

Accepted Answer

Store B saves more ($25)

Answer

Store A saves 30% × $80 = $24; Store B saves $25, so Store B is the better deal.

Question 4

Compare 1/3 + 1/4 with 1/2. Which is greater?

Accepted Answer

1/3 + 1/4

Answer

1/3 + 1/4 = 4/12 + 3/12 = 7/12 ≈ 0.583, which is greater than 1/2 = 0.500.

Question 5

If x = −5, compare x^2 and |x| × 5. Which is greater?

Accepted Answer

They are equal

Answer

x^2 = (−5)^2 = 25 and |x| × 5 = 5 × 5 = 25, so they are equal.

PI - Cognitive Assessment Practice Test