Numeracy & Quantitative Reasoning Flashcards

A study reports that a new drug reduced hospital readmissions by 50%. If the original readmission rate was 4%, what is the new rate?

Answer: 2%

A 50% reduction of a 4% rate means the new rate is 4% × 0.50 = 2%.

A table shows that 120 out of 600 applicants were hired. What is the hire rate?

Answer: 20%

120 ÷ 600 = 0.20, which equals 20%.

A graph shows test scores rising from 70 to 91 over three years. Which statement best describes the change?

Answer: Scores increased by 21 points and 30%

The absolute increase is 21 points; the relative increase is 21/70 = 30%, so both measures are accurate.

If 1 in 5 students fails an exam, and the class has 200 students, how many students pass?

Answer: 160

1 in 5 fail means 40 fail, so 200 − 40 = 160 pass.

A bar chart shows Sales Department has 45 employees and HR has 15. The ratio of Sales to HR employees is:

Answer: 3:1

45:15 simplifies to 3:1 by dividing both values by 15.

A researcher claims crime rose by 200% in five years. If there were 50 incidents originally, how many are there now?

Answer: 150

A 200% increase means the new value is the original plus 200% of the original: 50 + (2 × 50) = 150.

Which of the following correctly interprets a median household income of $65,000?

Answer: Half of households earn less than $65,000 and half earn more

The median is the middle value, meaning exactly half of observations fall below and half above it.