UCAT Decision Making

Question 1

A bag contains 3 red, 4 blue, and 5 green balls. If one ball is drawn at random, what is the probability it is NOT green?

Accepted Answer

7/12

Answer

5/12

Answer

1/3

Answer

1/2

Question 2

A company has 5 managers and needs to select a team of 2. How many different teams are possible?

Accepted Answer

10

Answer

20

Answer

15

Answer

25

Question 3

In a survey, 60% of people own a car, 40% own a bike, and 25% own both. What percentage own neither?

Accepted Answer

25%

Answer

35%

Answer

15%

Answer

20%

Question 4

All doctors are professionals. Some professionals work long hours. Which conclusion must be true?

Accepted Answer

Some doctors may work long hours

Answer

All doctors work long hours

Answer

No doctors work long hours

Answer

All professionals are doctors

Question 5

A train travels at 80 km/h for the first half of a journey and 120 km/h for the second half (equal distances). What is the average speed?

Accepted Answer

96 km/h

Answer

100 km/h

Answer

104 km/h

Answer

90 km/h

Question 6

Four friends — A, B, C, D — sit in a row. A must not sit next to D. How many valid arrangements are there?

Accepted Answer

12

Answer

24

Answer

16

Answer

18