GCAT Logical Deduction Problems 3

Question 1

Exactly three of the five statements below are true. Statement 3 says 'Statement 1 is false.' If Statement 1 is true, how many of statements 2–5 must be true?

Accepted Answer

2

Answer

If Statement 1 is true, then Statement 3 is false; with 3 total true among 5 and statements 1 and 3 accounting for one true and one false, exactly 2 more from statements 2, 4, 5 must be true.

Question 2

A is older than B. C is younger than A but older than B. D is older than C. Who is the youngest?

Accepted Answer

B

Answer

The order from oldest to youngest is D, A, C, B — making B the youngest.

Question 3

Only employees with a badge can enter the server room. Kevin entered the server room. What must be true?

Accepted Answer

Kevin has a badge

Answer

Since entry requires a badge and Kevin entered, he must have a badge.

Question 4

Some painters are musicians. All musicians practice daily. Which conclusion is valid?

Accepted Answer

Some painters practice daily

Answer

The painters who are musicians must also practice daily, so some painters practice daily.

Question 5

If a number is divisible by 6, it is divisible by both 2 and 3. The number 18 is divisible by 6. Which statement must be true?

Accepted Answer

18 is divisible by 2 and 3

Answer

By direct application of the given rule, 18 divisible by 6 means it is divisible by both 2 and 3.

GCAT - General Cognitive Ability Test Practice Test

GCAT - General Cognitive Ability Test Practice Test

GCAT Logical Deduction Problems 3