Revelian Test Numerical Reasoning Word Problems 2

Question 1

A factory produces 1,440 units in an 8-hour shift. If the production rate increases by 25%, how many units will be produced in a 6-hour shift?

Accepted Answer

1,350

Answer

New rate = (1,440/8) × 1.25 = 225 units/hr; in 6 hrs = 225 × 6 = 1,350.

Question 2

A store marks up its wholesale price by 40% to set the retail price. If a jacket retails for $98, what was the wholesale price?

Accepted Answer

$70.00

Answer

Wholesale × 1.40 = $98, so wholesale = $98 ÷ 1.40 = $70.00.

Question 3

A tank is 3/5 full. After 140 liters are removed, it is 1/5 full. What is the tank's total capacity?

Accepted Answer

350 liters

Answer

3/5 C − 1/5 C = 2/5 C = 140 liters; C = 140 × 5/2 = 350 liters.

Question 4

An investment of $5,000 earns simple interest at 6% per annum. How much interest is earned over 30 months?

Accepted Answer

$750

Answer

I = 5,000 × 0.06 × (30/12) = 5,000 × 0.06 × 2.5 = $750.

Question 5

A company's revenue grew from $2.4M to $3.12M over two years. What was the average annual percentage growth (simple average)?

Accepted Answer

15%

Answer

Total growth = ($3.12M − $2.4M) / $2.4M = 30%; simple annual average = 30% ÷ 2 = 15%.

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