Numerical Reasoning Word Problems and Applied Arithmetic 3

Question 1

A store sells 3 items for $7.50. At this rate, how much would 20 items cost?

Accepted Answer

$50.00

Answer

Unit price = $7.50 ÷ 3 = $2.50; 20 items = 20 × $2.50 = $50.00.

Question 2

A worker can pack 180 boxes in 4 hours. Working at the same rate, how many boxes can 3 workers pack in 6 hours?

Accepted Answer

810

Answer

Rate = 180/4 = 45 boxes/hr per worker; 3 workers × 45 × 6 hours = 810 boxes.

Question 3

A recipe makes 24 cookies and requires 2.5 cups of flour. How many cups of flour are needed to make 60 cookies?

Accepted Answer

6.25 cups

Answer

Flour per cookie = 2.5 ÷ 24; for 60 cookies: (2.5 ÷ 24) × 60 = 2.5 × 60/24 = 150/24 = 6.25 cups.

Question 4

A bus covers 36 km in 45 minutes. What is its average speed in km/h?

Accepted Answer

48 km/h

Answer

45 minutes = 0.75 hours; speed = 36 ÷ 0.75 = 48 km/h.

Question 5

Office supplies cost $45 for 15 employees. If the company grows to 40 employees, how much will supplies cost at the same per-person rate?

Accepted Answer

$120

Answer

Cost per employee = $45 ÷ 15 = $3; total for 40 = 40 × $3 = $120.

Numerical Reasoning Practice Test