PI - Cognitive Assessment Value Comparison Problems 2

Question 1

Compare: 3/4 ___ 5/7

Accepted Answer

3/4 > 5/7

Answer

Convert to common denominator 28: 3/4 = 21/28 and 5/7 = 20/28. Since 21 > 20, 3/4 > 5/7.

Question 2

Which is greater: √50 or 7?

Accepted Answer

√50 is greater

Answer

√50 ≈ 7.07, which is greater than 7. Alternatively, 7² = 49 < 50, so √50 > 7.

Question 3

Compare: 0.625 ___ 5/8

Accepted Answer

0.625 = 5/8

Answer

5/8 = 5 ÷ 8 = 0.625. They are equal.

Question 4

Which is larger: 2³ × 3 or 2 × 3²?

Accepted Answer

2³ × 3 is larger

Answer

2³ × 3 = 8 × 3 = 24. 2 × 3² = 2 × 9 = 18. 24 > 18.

Question 5

Compare: 33⅓% of 90 ___ 25% of 120

Accepted Answer

They are equal

Answer

33⅓% of 90 = 1/3 × 90 = 30. 25% of 120 = 1/4 × 120 = 30. They are equal.

PI - Cognitive Assessment Practice Test