STAT Logical and Numerical Problem-Solving 2

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?

Accepted Answer

29

Answer

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?

Accepted Answer

0%

Answer

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?

Accepted Answer

No Blargs are Gronks

Answer

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?

Accepted Answer

12

Answer

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?

Accepted Answer

100

Answer

8, 27, 64, and 125 are perfect cubes (2³, 3³, 4³, 5³); 100 is not a perfect cube.

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