RANRA Practice Questions
Practice numerical reasoning questions similar to those in the RANRA (Rust Advanced Numerical Reasoning Appraisal) component of the Public Health Assessment Centre.
What is the RANRA Assessment?
The RANRA (Rust Advanced Numerical Reasoning Appraisal) component is used within the Public Health Assessment Centre to assess a candidate's ability to interpret numerical data and apply logical reasoning in a public health context.
Questions typically involve analysing tables, calculating rates, and interpreting trends. These skills are relevant to public health practice, where data is used to inform decisions and evaluate outcomes.
RANRA-style questions commonly fall into two formats: data sufficiency questions and comparison questions. This page provides examples of both types to help familiarise candidates with the format and level of reasoning expected.
Types of RANRA Questions
Data Sufficiency Questions
Data sufficiency questions assess whether the information provided is enough to answer a question. Candidates must determine whether one statement alone, both together, or neither provides sufficient data.
Comparison Questions
Comparison questions require candidates to calculate or estimate values such as rates per population or percentages, and then compare them accurately.
Answer options:
A: if the quantity under A is greater than the quantity under B.
B: if the quantity under B is greater than the quantity under A.
E: if the quantities under A and B are equal.
I: if insufficient information is given to make the comparison.
Example RANRA Data Sufficiency Question
Scenario
A public health team is assessing obesity prevalence in a local authority.
Question
Is the obesity prevalence in the population above 25%?
Statements
- 1.The number of individuals classified as obese is 6,300, and the number of individuals not classified as obese is 17,700.
- 2.The total population is 24,000, and fewer than 18,000 individuals are not classified as obese.
Select Your Answer
Answer and Explanation
Answer: A) Statement 1 alone is sufficient, but Statement 2 alone is not sufficient
Step 1: Use Statement 1
Statement 1 provides:
- Obese individuals = 6,300
- Non-obese individuals = 17,700
Total population =
6,300 + 17,700 = 24,000
Obesity prevalence =
(6,300 / 24,000) × 100 = 26.25%
Since 26.25% is above 25%, the question can be answered using Statement 1 alone.
Step 2: Evaluate Statement 2
Statement 2 provides:
- Total population = 24,000
- Fewer than 18,000 individuals are not obese
This means:
- Non-obese < 18,000
- Therefore, obese > 6,000
However, this provides only a lower bound, not an exact value. The number of obese individuals could be just above 6,000 or significantly higher.
Without a precise value, it is not possible to determine whether the prevalence exceeds 25% with certainty.
Step 3: Apply Threshold Reasoning
To determine whether obesity prevalence is above 25%, calculate the threshold:
25% of 24,000 = 6,000 individuals
Statement 2 only tells us that the number of obese individuals is greater than 6,000, but does not confirm whether it is significantly greater.
Because the value could be just above or well above the threshold, the question cannot be answered definitively using Statement 2 alone.
Step 4: Apply Data Sufficiency Logic
In data sufficiency questions, each statement must be evaluated independently.
✓Statement 1 alone → sufficient
✗Statement 2 alone → not sufficient
Since Statement 1 alone provides enough information, the correct answer is A.
Alternative Way to Think About It
Instead of calculating exact values, consider what is required to answer the question.
To confirm that prevalence is above 25%, the number of obese individuals must clearly exceed 6,000.
Statement 2 only provides a range (greater than 6,000), not a precise figure. Since this range includes values both slightly above and significantly above the threshold, it is not sufficient to answer the question with certainty.
Key Insight
In data sufficiency questions, the goal is not only to calculate values but to determine whether the information provided allows a definite conclusion. Exact values allow precise conclusions, whereas inequalities often introduce uncertainty.
Common Trap
A common mistake in numerical reasoning and data sufficiency questions is assuming that partial information or ranges are enough to answer the question. However, unless the information guarantees a single definitive answer, it is not sufficient.
Advanced Data Sufficiency Practice Question
Scenario
A public health team is reviewing screening uptake in a local authority.
Question
Is the screening uptake rate above 70%?
Statements
- 1.14,400 individuals were screened.
- 2.5,600 individuals were not screened.
Select Your Answer
Answer and Explanation
Answer: C) Both statements together are sufficient, but neither statement alone is sufficient
Step 1: Evaluate Statement 1
Statement 1 provides the number of individuals screened (14,400), but does not provide the total population.
Without the total population, it is not possible to calculate the screening uptake rate.
✗Statement 1 alone is not sufficient.
Step 2: Evaluate Statement 2
Statement 2 provides the number of individuals not screened (5,600), but does not provide the total population or the number screened.
Without additional information, it is not possible to calculate the screening rate.
✗Statement 2 alone is not sufficient.
Step 3: Combine Both Statements
Using both statements together:
Screened =14,400
Not screened =5,600
Total population =
14,400 + 5,600 = 20,000
Screening uptake rate =
(14,400 / 20,000) × 100 = 72%
Since 72% is above 70%, the answer can be determined.
Step 4: Apply Data Sufficiency Logic
✗Statement 1 alone → not sufficient
✗Statement 2 alone → not sufficient
✓Both statements together → sufficient
Therefore, the correct answer is C.
Alternative Method (Threshold Reasoning)
Instead of calculating the full percentage, consider the threshold directly.
To determine whether the screening rate is above 70%, calculate:
70% of 20,000 = 14,000
Statement 1 shows that 14,400 individuals were screened.
Since 14,400 is greater than 14,000, the threshold is exceeded.
This confirms the answer more quickly without completing the full percentage calculation.
Key Insight
In data sufficiency questions, the goal is to determine whether enough information is available to reach a definite conclusion. Combining statements often allows calculation of totals or key values that are not available from individual statements.
Common Trap
A common mistake is attempting to combine statements too early. In RANRA-style numerical reasoning questions, each statement must first be evaluated independently before considering them together.
Comparison Questions
Comparison questions in RANRA numerical reasoning tests require candidates to calculate and compare values such as rates per population, percentages, and proportions. These may be presented as direct comparisons or as data interpretation questions using tables.
Comparison Question (Data Interpretation Example)
Scenario
A public health team is comparing emergency admission rates across two regions.
Data
| Region | Population | Emergency Admissions |
|---|---|---|
| Region A | 250,000 | 1,750 |
| Region B | 180,000 | 1,200 |
Additional Information
Admissions recorded in Region A include all patients treated in hospitals located within the region.
Quantity A
Emergency admission rate per 1,000 population in Region A
Quantity B
Emergency admission rate per 1,000 population in Region B
Question
Which quantity is greater?
Select Your Answer
Answer and Explanation
Answer: I
I: if insufficient information is given to make the comparison.
Step 1: Attempt to calculate the rates
Region A:
(1,750 / 250,000) × 1,000 = 7.0 per 1,000
Region B:
(1,200 / 180,000) × 1,000 ≈ 6.7 per 1,000
At first glance, Region A appears to have a higher admission rate.
Step 2: Examine the additional information
The data states that admissions in Region A include all patients treated in hospitals located within the region.
This means that the admissions figure for Region A may include patients who do not reside in the region.
Step 3: Assess comparability
The population denominator represents residents of Region A, but the admissions numerator may include non-residents.
This mismatch means that the calculated rate for Region A may not accurately reflect the true admission rate for its population.
Step 4: Apply comparison logic
Because the number of non-resident admissions is not known, the true admission rate for Region A cannot be determined.
As a result, it is not possible to reliably compare the two quantities.
Alternative Way to Think About It
Before performing calculations in numerical reasoning test questions, check whether the data is directly comparable.
If the numerator and denominator do not refer to the same population, any calculated rate may be misleading.
Key Insight
In data interpretation questions, especially in public health contexts, it is essential that rates per 1,000 population are calculated using consistent populations. Misalignment between numerator and denominator can invalidate comparisons.
Common Trap
A common mistake in comparison questions is to calculate and compare rates without considering whether the underlying data is comparable. This can lead to incorrect conclusions, even when the calculations themselves are correct.
Standard Comparison Question
Scenario
A public health team is comparing hospital admission rates for asthma across two regions.
Quantity A
3,150 admissions in a population of 520,000
Quantity B
2,100 admissions in a population of 280,000
Question
Which quantity is greater?
Select Your Answer
Answer and Explanation
Answer: B
B: if the quantity under B is greater than the quantity under A.
Method 1: Full Calculation
Quantity A:
(3,150 / 520,000) × 1,000 = 6.06 per 1,000 population
Quantity B:
(2,100 / 280,000) × 1,000 = 7.50 per 1,000 population
Since 7.50 > 6.06, the quantity under B is greater than the quantity under A.
Method 2: Quick Estimation (Cross-Multiplication)
When comparing two fractions, you can use cross-multiplication to quickly determine which is larger. Round to simpler numbers first to make mental arithmetic easier.
Step 1: Start with the two rates:
Region A
3,150/520,000
Region B
2,100/280,000
Step 2: Round to simpler numbers and remove common factors (thousands):
Region A (simplified)
3,150 / 520,000
3/520
Region B (simplified)
2,100 / 280,000
2/280
Step 3: Cross-multiply (each numerator × the other denominator):
Region A
3 × 280
= 840
Region B
2 × 520
= 1,040
Since 1,040 > 840, the quantity under B is greater than the quantity under A.
Why this works: Cross-multiplication compares fractions by scaling them to a common denominator. By rounding and removing common factors first, the mental arithmetic becomes much simpler — you only need to compare 840 vs 1,040 instead of dealing with millions.
Key Insight
In comparison questions, absolute numbers can be misleading. Quick estimation techniques like cross-multiplication can save valuable time in timed assessments while still giving accurate results.
How to Approach RANRA Questions
When approaching RANRA-style numerical reasoning questions, candidates should first identify whether the question is a data sufficiency question or a comparison question. Each question type requires a different approach to reasoning and decision-making.
Many numerical reasoning test questions involve data interpretation, requiring candidates to convert raw numbers into percentages, ratios, or rates per population before making comparisons. In public health contexts, this often includes calculating rates per 1,000 population to ensure values are comparable across different groups.
It is important to break each problem into clear steps and avoid performing unnecessary calculations. Under time pressure, efficient strategies such as estimation, threshold comparison, and logical elimination can improve both speed and accuracy.
By focusing on the structure of the question and applying the appropriate method, candidates can reduce errors and make more confident decisions.
Common Mistakes in RANRA Questions
A common mistake in numerical reasoning questions is comparing raw numbers rather than rates per population. This can lead to incorrect conclusions when population sizes differ.
Another challenge is performing calculations too quickly without checking whether the result is reasonable.
These numerical reasoning test questions reflect the types of data interpretation tasks commonly used in public health assessment centres.
RANRA Practice Questions – Frequently Asked Questions
What types of questions are in RANRA?
RANRA numerical reasoning questions typically include data sufficiency questions and comparison questions. These assess a candidate's ability to interpret data, calculate percentages, and compare values such as rates per population in a public health context.
Are these real RANRA questions?
These questions are independently created to reflect the style of numerical reasoning assessments and are not taken from any official assessment.
How can I prepare for RANRA?
Preparation for RANRA numerical reasoning questions involves practising both data sufficiency and comparison questions, reviewing detailed explanations, and improving data interpretation skills. This includes working with percentages, ratios, and rates per 1,000 population, which are commonly used in public health numerical reasoning tests.
How long do RANRA questions take?
RANRA questions are typically timed, requiring candidates to perform calculations efficiently while maintaining accuracy.
What calculations are commonly required?
Common calculations in RANRA numerical reasoning questions include percentages, ratios, and rates per population. Candidates are often required to convert raw data into comparable measures, such as rates per 1,000 population, to support accurate data interpretation and decision-making.
Continue Your Preparation
Explore more practice resources to support your preparation for the Public Health Assessment Centre:
Access More RANRA Practice Questions
Get access to additional RANRA questions covering all numerical and abstract reasoning components.
This content is provided for general preparation purposes. CentrePrep is an independent resource and is not affiliated with or endorsed by any official assessment provider.