UMAT Problem Solving Strategies

Question 1

A UMAT problem states: 'Five friends sit in a row. Anna is not next to Ben. Ben sits next to Carol. Carol sits at one end.' If Carol is at the left end, which of the following must be true?

Accepted Answer

Ben sits second from the left

Answer

Anna sits immediately to the right of Carol

Answer

Anna sits at the right end

Answer

Ben and Anna are adjacent

Question 2

In a UMAT scheduling problem, five tasks must be completed in order. Task C must follow Task A. Task B must precede Task D. Task E can be done at any time. Which sequence is valid?

Accepted Answer

A, C, B, D, E

Answer

B, C, A, D, E

Answer

C, A, B, D, E

Answer

B, D, A, C, E

Question 3

A logic grid puzzle states: 'Three doctors specialize in cardiology, neurology, and dermatology. Dr. Smith does not do surgery. Cardiologists perform surgery. Dr. Jones specializes in dermatology.' What is Dr. Smith's specialty?

Accepted Answer

Neurology

Answer

Cardiology

Answer

Dermatology

Answer

Cannot be determined

Question 4

A UMAT working-backwards problem: A patient needs medication 3 times a day for 10 days. Tablets come in bottles of 25. How many bottles are needed?

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 5

In a UMAT problem, you are told that every student who passes the practical also passes the written exam, but not vice versa. Which conclusion is valid?

Accepted Answer

Failing the practical does not necessarily mean failing the written

Answer

Passing written guarantees passing practical

Answer

Passing written and practical are equivalent outcomes

Answer

Failing written means failing practical

Question 6

When approaching a UMAT problem-solving question with many variables, the best first strategy is to:

Accepted Answer

Identify and apply the most restrictive constraint first to reduce possibilities

Answer

Guess and check all possible combinations

Answer

Start with the easiest constraint and work forward randomly

Answer

List all possible arrangements before applying any rules