STAT Logical and Numerical Problem-Solving 2 — Questions and Answers
Question 1: A sequence follows the rule: each term is the sum of the two preceding terms. If the 4th term is 11 and the 5th term is 18, what is the 6th term?
- 25
- 27
- 29 (Correct answer)
- 29
Correct answer: 29
In a Fibonacci-type sequence, the 6th term = 18 + 11 = 29.
Question 2: A store reduces a price by 20%, then increases it by 25%. What is the net percentage change from the original price?
- 0% (Correct answer)
- +5%
- -5%
- +1%
Correct answer: 0%
0.80 × 1.25 = 1.00, so the final price equals the original price — a 0% net change.
Question 3: If all Blargs are Flurps, and no Flurps are Gronks, which conclusion must be true?
- Some Gronks are Blargs
- No Blargs are Gronks (Correct answer)
- All Gronks are Flurps
- Some Flurps are Gronks
Correct answer: No Blargs are Gronks
Since all Blargs are Flurps and no Flurps are Gronks, it follows that no Blargs can be Gronks.
Question 4: Three workers can paint 3 rooms in 3 days. How many rooms can 6 workers paint in 6 days?
- 6
- 9
- 12 (Correct answer)
- 18
Correct answer: 12
One worker paints 1 room in 3 days; in 6 days one worker does 2 rooms, so 6 workers do 12 rooms.
Question 5: Which number is the odd one out: 8, 27, 64, 100, 125?
- 8
- 27
- 100 (Correct answer)
- 125
Correct answer: 100
8, 27, 64, and 125 are perfect cubes (2³, 3³, 4³, 5³); 100 is not a perfect cube.
Question 6: A rectangle has a perimeter of 56 cm and a length that is 3 times its width. What is the area of the rectangle?
- 147 cm² (Correct answer)
- 175 cm²
- 147 cm²
- 189 cm²
Correct answer: 147 cm²
2(3w + w) = 56 → w = 7, length = 21; area = 7 × 21 = 147 cm².
Question 7: In a logical puzzle, P → Q and Q → R are both true. P is true. What must also be true?
- R → P
- P → R (Correct answer)
- ¬P → ¬R
- R is false
Correct answer: P → R
By hypothetical syllogism, P → Q and Q → R together imply P → R, and since P is true, R is true.
STAT Logical and Numerical Problem-Solving 2
A sequence follows the rule: each term is the sum of the two preceding terms.
If the 4th term is 11 and the 5th term is 18, what is the 6th term?