GCAT Logical Deduction Problems 3 — Questions and Answers
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?
- 1
- 2 (Correct answer)
- 3
- 4
Correct answer: 2
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?
- A
- B (Correct answer)
- C
- D
Correct answer: B
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?
- Kevin is a manager
- Kevin has a badge (Correct answer)
- Kevin sneaked in
- Kevin requested a badge
Correct answer: Kevin has a badge
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?
- All painters practice daily
- No painters practice daily
- Some painters practice daily (Correct answer)
- All who practice daily are painters
Correct answer: Some painters practice daily
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?
- 18 is divisible by 4
- 18 is divisible by 2 and 3 (Correct answer)
- 18 is divisible by 9
- 18 is divisible by 12
Correct answer: 18 is divisible by 2 and 3
By direct application of the given rule, 18 divisible by 6 means it is divisible by both 2 and 3.
Question 6: Four boxes are stacked: Red is above Green. Blue is below Green. Yellow is above Red. What is the order from top to bottom?
- Yellow, Red, Green, Blue (Correct answer)
- Red, Yellow, Green, Blue
- Yellow, Green, Red, Blue
- Blue, Green, Red, Yellow
Correct answer: Yellow, Red, Green, Blue
Yellow is above Red, Red is above Green, Green is above Blue — giving Yellow, Red, Green, Blue from top to bottom.
Question 7: Either the project is on time or the budget is overspent. The project is on time. What can you conclude about the budget?
- The budget is definitely overspent
- The budget is definitely not overspent
- The budget may or may not be overspent (Correct answer)
- The project will be delayed
Correct answer: The budget may or may not be overspent
An inclusive OR means both conditions could be true simultaneously, so the budget may still be overspent.
GCAT Logical Deduction Problems 3
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?