UMAT Problem Solving Strategies 2 — Questions and Answers
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)?
- 24
- 30
- 36 (Correct answer)
- 48
Correct answer: 36
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?
- 71
- 94
- 95 (Correct answer)
- 96
Correct answer: 95
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?
- 3
- 6
- 7 (Correct answer)
- 4
Correct answer: 7
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?
- 1:30 PM
- 1:45 PM (Correct answer)
- 2:00 PM
- 2:15 PM
Correct answer: 1:45 PM
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?
- 7
- 8 (Correct answer)
- 15
- 11
Correct answer: 8
Students studying only chemistry = total chemistry students - those studying both = 15 - 7 = 8.
Question 6: In a UMAT rate problem: A lab processes 120 samples in 8 hours. At this rate, how many samples can it process in 5 hours?
- 60
- 75 (Correct answer)
- 80
- 100
Correct answer: 75
Rate = 120/8 = 15 samples per hour; in 5 hours: 15 × 5 = 75 samples.
UMAT Problem Solving Strategies 2
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)?