UMAT Problem Solving Strategies 3

Question 1

A UMAT logic problem: 'No reptiles are mammals. All crocodiles are reptiles.' Which conclusion is valid?

Accepted Answer

No crocodiles are mammals

Answer

All crocodiles are reptiles (given), and no reptiles are mammals (given), therefore no crocodiles are mammals by syllogistic deduction.

Question 2

In a UMAT working-forwards problem: A hospital opens at 8 AM, and the first consultation takes 20 minutes. Each subsequent consultation takes 15 minutes. What time does the 5th consultation end?

Accepted Answer

9:10 AM

Answer

Consultation 1 ends at 8:20; consultations 2–5 each take 15 min: 8:20 + (4 × 15) = 8:20 + 60 = 9:20 AM.

Question 3

A UMAT problem presents a Venn diagram with 3 overlapping sets. Region X (only A∩B, not C) contains 5 elements. Region Y (only A, not B or C) contains 8. How many elements are in A but not C?

Accepted Answer

13

Answer

Elements in A but not C = (only A) + (A∩B but not C) = 8 + 5 = 13, assuming no other A-regions overlap with C.

Question 4

In a UMAT distance-rate-time problem: Two clinics are 240 km apart. A patient travels at 80 km/h. How long does the journey take?

Accepted Answer

3 hours

Answer

Time = Distance / Speed = 240 / 80 = 3 hours.

Question 5

A UMAT question requires you to find the odd one out: 2, 4, 9, 16, 25. Which number does not fit?

Accepted Answer

2

Answer

4 = 2², 9 = 3², 16 = 4², 25 = 5² are all perfect squares, but 2 is not a perfect square.

UMAT - Undergraduate Medicine and Health Sciences Admission Test Practice Test

UMAT - Undergraduate Medicine and Health Sciences Admission Test Practice Test

UMAT Problem Solving Strategies 3