UMAT Problem Solving Strategies 2

Question 1

A UMAT numerical reasoning problem: If 4 nurses treat 24 patients in 6 hours, how many patients can 6 nurses treat in the same time (assuming constant rate)?

Accepted Answer

36

Answer

Each nurse treats 24/4 = 6 patients in 6 hours; 6 nurses treat 6 × 6 = 36 patients.

Question 2

In a UMAT sequence problem: 2, 5, 11, 23, 47, __ — what is the next number?

Accepted Answer

95

Answer

Each term is calculated as (previous term × 2) + 1: 2×2+1=5, 5×2+1=11, 11×2+1=23, 23×2+1=47, 47×2+1=95.

Question 3

A UMAT problem gives you these clues: X + Y = 10, X - Y = 4. What is X?

Accepted Answer

7

Answer

Adding both equations: 2X = 14, so X = 7.

Question 4

In a UMAT time-management problem, a task takes 45 minutes but must be finished 30 minutes before a 3 PM deadline. What is the latest the task can start?

Accepted Answer

1:45 PM

Answer

The task must finish by 2:30 PM (30 min before 3 PM); starting 45 minutes before 2:30 PM means starting at 1:45 PM.

Question 5

A UMAT problem states: 'In a group of 30 students, 18 study biology and 15 study chemistry. 7 study both.' How many students study only chemistry?

Accepted Answer

8

Answer

Students studying only chemistry = total chemistry students - those studying both = 15 - 7 = 8.

UMAT - Undergraduate Medicine and Health Sciences Admission Test Practice Test

UMAT - Undergraduate Medicine and Health Sciences Admission Test Practice Test

UMAT Problem Solving Strategies 2