UCAT Decision Making 3

Question 1

A spinner has 8 equal sections numbered 1–8. What is the probability of spinning an odd number greater than 3?

Accepted Answer

1/4

Answer

Odd numbers greater than 3: 5, 7 — two outcomes. Probability = 2/8 = 1/4.

Question 2

'Some athletes are vegetarian. All vegetarians avoid red meat.' Which conclusion is valid?

Accepted Answer

Some athletes avoid red meat

Answer

The overlap between athletes and vegetarians means some athletes (those who are vegetarian) also avoid red meat. 'All' and 'No' are too strong given 'some'.

Question 3

A table shows sales data. Year 1: £120k, Year 2: £150k, Year 3: £180k. What is the percentage increase from Year 1 to Year 3?

Accepted Answer

50%

Answer

Increase = £180k − £120k = £60k. Percentage = (60/120) × 100 = 50%.

Question 4

Two dice are rolled. What is the probability both show a 6?

Accepted Answer

1/36

Answer

P(6 on die 1) × P(6 on die 2) = 1/6 × 1/6 = 1/36. Independent events multiply.

Question 5

A logical argument: 'All managers approve budgets. James does not approve budgets.' What follows?

Accepted Answer

James is not a manager

Answer

Modus tollens: if all managers approve budgets (M→B), and James does not approve budgets (¬B), then James is not a manager (¬M).

UCAT Practice Test

UCAT Practice Test

UCAT Decision Making 3