Basic Ability Test Basic Ability Logical Deduction and Syllogisms 4

Question 1

All A are B. All B are C. Which statement must be true?

Accepted Answer

All A are C

Answer

The chain A→B→C means every A is also a C by transitivity.

Question 2

No X are Y. Some Z are Y. Which conclusion follows?

Accepted Answer

Some Z are not X

Answer

The Z that are Y cannot be X (since no X are Y), so at least some Z are not X.

Question 3

If a number is divisible by 6, it is divisible by 3. 18 is divisible by 6. What follows?

Accepted Answer

18 is divisible by 3

Answer

18 is divisible by 6, so by modus ponens it must also be divisible by 3.

Question 4

Some teachers are coaches. All coaches are certified. What must follow?

Accepted Answer

Some teachers are certified

Answer

The teachers who are coaches must be certified, so at least some teachers are certified.

Question 5

Either option A or option B will solve the problem. Option A does not solve the problem. What follows?

Accepted Answer

Option B solves the problem

Answer

With A eliminated from a valid 'either/or,' B must be the solution.

Basic Ability Test Practice Test