CCTST Numeracy & Quantitative Reasoning 1 — Questions and Answers
Question 1: A study reports that a new drug reduced hospital readmissions by 50%. If the original readmission rate was 4%, what is the new rate?
- 2% (Correct answer)
- 4%
- 54%
- 46%
Correct answer: 2%
A 50% reduction of a 4% rate means the new rate is 4% × 0.50 = 2%.
Question 2: A table shows that 120 out of 600 applicants were hired. What is the hire rate?
- 20% (Correct answer)
- 25%
- 12%
- 15%
Correct answer: 20%
120 ÷ 600 = 0.20, which equals 20%.
Question 3: A graph shows test scores rising from 70 to 91 over three years. Which statement best describes the change?
- Scores increased by 30%
- Scores increased by 21 points and 30% (Correct answer)
- Scores increased by 21%
- Scores doubled
Correct 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.
Question 4: If 1 in 5 students fails an exam, and the class has 200 students, how many students pass?
- 160 (Correct answer)
- 40
- 180
- 140
Correct answer: 160
1 in 5 fail means 40 fail, so 200 − 40 = 160 pass.
Question 5: A bar chart shows Sales Department has 45 employees and HR has 15. The ratio of Sales to HR employees is:
- 3:1 (Correct answer)
- 1:3
- 4:1
- 9:3
Correct answer: 3:1
45:15 simplifies to 3:1 by dividing both values by 15.
Question 6: A researcher claims crime rose by 200% in five years. If there were 50 incidents originally, how many are there now?
- 150 (Correct answer)
- 100
- 200
- 250
Correct answer: 150
A 200% increase means the new value is the original plus 200% of the original: 50 + (2 × 50) = 150.
Question 7: Which of the following correctly interprets a median household income of $65,000?
- Half of households earn less than $65,000 and half earn more (Correct answer)
- The most common household income is $65,000
- The average of all household incomes is $65,000
- No household earns less than $65,000
Correct 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.
CCTST Numeracy & Quantitative Reasoning 1
A study reports that a new drug reduced hospital readmissions by 50%.
If the original readmission rate was 4%, what is the new rate?