UCAT Decision Making Practice 2 — Questions and Answers
Question 1: A university states: 'No offer will be made to an applicant who fails to meet the minimum UCAT threshold.' Amir met the minimum UCAT threshold but did not receive an offer. Is this consistent with the university's statement?
- No, this is a direct contradiction
- Yes, meeting the threshold is necessary but not sufficient for an offer (Correct answer)
- No, meeting the threshold guarantees an offer
- Yes, but only if Amir lied about his score
Correct answer: Yes, meeting the threshold is necessary but not sufficient for an offer
'No offer without meeting the threshold' only makes meeting it a necessary condition, not a sufficient one; other criteria (interview, references) can still exclude Amir even though he cleared the threshold.
The statement is a conditional: NOT(threshold met) -> NOT(offer). Its logical converse (threshold met -> offer) is NOT implied and would be a fallacy to assume. Since many other factors feed into admissions decisions, Amir clearing the threshold but still being rejected is fully consistent with the original rule.
Question 2: In a class of 30 students, 18 study Biology and 15 study Chemistry, with 8 studying both. How many students study neither subject?
Correct answer: 5
Using inclusion-exclusion: students studying at least one = 18 + 15 - 8 = 25. Students studying neither = 30 - 25 = 5.
This is a classic Venn diagram / set overlap problem. Total studying at least one subject = Biology + Chemistry - Both (to avoid double-counting the overlap) = 18 + 15 - 8 = 25. Subtracting from the total class size gives those studying neither: 30 - 25 = 5.
Question 3: A researcher observes: 'Every time the emergency department was overcrowded last month, ambulance handover delays also occurred.' Which conclusion is best supported?
- Overcrowding causes handover delays
- Handover delays cause overcrowding
- There is a correlation between overcrowding and handover delays, but causation is not established (Correct answer)
- The two events are unrelated
Correct answer: There is a correlation between overcrowding and handover delays, but causation is not established
Repeated co-occurrence shows correlation, but the passage gives no experimental or mechanistic evidence establishing which (if either) causes the other, or whether both stem from a third factor.
This tests the correlation-vs-causation distinction, a recurring UCAT Decision Making theme. The observation only establishes that the two events consistently occurred together; it does not identify a causal mechanism or rule out a confounding variable (e.g. a flu outbreak causing both). The most defensible conclusion acknowledges the correlation while explicitly declining to assert causation.
Question 4: Five friends - Priya, Omar, Sam, Leila, and Tom - are ranked by exam score with no ties. Priya scored higher than Tom. Tom scored higher than Omar. Omar scored higher than Sam. Sam scored higher than Leila. What is the correct ranking from highest to lowest?
- Priya, Omar, Tom, Sam, Leila
- Tom, Priya, Omar, Sam, Leila
- Priya, Tom, Omar, Sam, Leila (Correct answer)
- Priya, Tom, Sam, Omar, Leila
Correct answer: Priya, Tom, Omar, Sam, Leila
Chaining the four inequalities directly gives Priya > Tom > Omar > Sam > Leila, which matches option C exactly.
Each clue gives a direct link in a chain: Priya > Tom, Tom > Omar, Omar > Sam, Sam > Leila. Because every adjacent pair is linked with no gaps or ambiguity, the chain can be read straight through as a single total order: Priya > Tom > Omar > Sam > Leila. This is the fully determined ranking, matching option C.
Question 5: A weather forecaster says there is a 30% chance of rain on Saturday and, independently, a 30% chance of rain on Sunday. What is the approximate probability that it rains on at least one of the two days?
- 60%
- 51% (Correct answer)
- 9%
- 30%
Correct answer: 51%
P(at least one) = 1 - P(neither) = 1 - (0.7 x 0.7) = 1 - 0.49 = 0.51, or 51%.
For independent events, P(at least one occurs) = 1 - P(none occur). P(no rain Saturday) = 0.7, P(no rain Sunday) = 0.7. P(no rain either day) = 0.7 x 0.7 = 0.49. Therefore P(rain at least one day) = 1 - 0.49 = 0.51 = 51%. Simply adding 30% + 30% = 60% would double-count the scenario where it rains on both days, which is the common distractor error.
Question 6: A clinic policy states: 'If a patient's temperature exceeds 38C, a nurse must be notified within 15 minutes.' A nurse was notified about a patient within 15 minutes. Which conclusion is valid?
- The patient's temperature definitely exceeded 38C
- The patient's temperature may or may not have exceeded 38C (Correct answer)
- The policy was violated
- The nurse acted incorrectly
Correct answer: The patient's temperature may or may not have exceeded 38C
The rule is a one-way conditional (temp > 38 implies notify within 15 min). Being notified within 15 minutes doesn't confirm the temperature exceeded 38C - the nurse could have been notified for another reason.
This is the classic 'affirming the consequent' fallacy trap embedded in a clinical policy scenario. The rule guarantees notification WHEN temperature exceeds 38C, but does not say notification ONLY happens in that case. Nurses could be notified for many other reasons (low blood pressure, patient request, routine check), so the temperature status remains undetermined from the notification alone.
