Numerical Reasoning: Calculations Flashcards

A mission vehicle travels 540 km at 90 km/h, then 180 km at 60 km/h. What is the total journey time?

Answer: 9.0 hours

Leg 1 = 540 ÷ 90 = 6 h; Leg 2 = 180 ÷ 60 = 3 h; total = 9.0 hours.

A department's budget was reduced by 8% last year and then increased by 8% this year. If the original budget was $500,000, what is the current budget?

Answer: $496,800

After cut: $500,000 × 0.92 = $460,000; after rise: $460,000 × 1.08 = $496,800.

An office budget was $180,000. After a 10% cut followed by a further 5% cut on the reduced amount, what is the new budget?

Answer: $153,900

After first cut: $180,000 × 0.90 = $162,000; after second: $162,000 × 0.95 = $153,900.

A warehouse stores supplies in crates of 24 units. A shipment of 1,560 units arrives. How many full crates are needed and how many units are left over?

Answer: 65 crates, 0 units

1,560 ÷ 24 = 65 exactly with no remainder, so 65 full crates and 0 units left over.

A project runs 18 months with a $540,000 budget. The team spent 55% in the first 9 months. What is the monthly budget available for the remaining 9 months?

Answer: $27,000

Spent = $540,000 × 0.55 = $297,000; remaining = $243,000; monthly = $243,000 ÷ 9 = $27,000.

Overtime pay is 1.5× the normal hourly rate of $24. An employee works 12 hours of overtime in a week. What is the overtime pay?

Answer: $432

Overtime rate = $24 × 1.5 = $36/h; overtime pay = $36 × 12 = $432.

A department processed 840 invoices in 28 working days. New software increases their rate by one-third. How many invoices will they process in the next 21 working days?

Answer: 840

Old rate = 840 ÷ 28 = 30/day; new rate = 30 × 4/3 = 40/day; 21 × 40 = 840 invoices.