UCAT Decision Making 4

Question 1

A Venn diagram shows: Group X only = 8, Group Y only = 12, Both = 5, Neither = 3. How many people are in the survey?

Accepted Answer

28

Answer

Total = 8 + 12 + 5 + 3 = 28.

Question 2

'Either the project finishes on time or we lose the contract. The project finished on time.' What follows?

Accepted Answer

The contract is not necessarily saved — other conditions may apply

Answer

The 'either…or' is stated as a sufficient condition for one outcome, but we are not told it is the only condition for keeping the contract. We cannot conclude with certainty.

Question 3

If P → Q and Q → R, and P is true, what is true?

Accepted Answer

R is true

Answer

Hypothetical syllogism: P → Q, Q → R, P is true → Q is true → R is true. This is a transitive chain.

Question 4

A car depreciates by 20% per year. It costs £25,000 new. What is it worth after 2 years?

Accepted Answer

£16,000

Answer

After year 1: £25,000 × 0.8 = £20,000. After year 2: £20,000 × 0.8 = £16,000. Compound depreciation, not simple.

Question 5

A scheduling puzzle: A must happen before B. C must happen before A. D must happen after B. What is a valid order?

Accepted Answer

C, A, B, D

Answer

Constraints: C < A < B < D. Only C, A, B, D satisfies all three ordering rules.

UCAT Practice Test

UCAT Practice Test

UCAT Decision Making 4