FAST Analytical Problem Solving 3

Question 1

A project requires 6 workers to finish in 10 days. If 4 workers leave after 4 days, how many additional days will the remaining workers need to finish the project?

Accepted Answer

15

Answer

Total work = 60 worker-days; completed = 6×4=24; remaining=36 worker-days ÷ 2 workers = 18 more days.

Question 2

Study results show that 70% of people who exercise daily report better sleep. A researcher concludes that exercise causes better sleep. What is the flaw in this reasoning?

Accepted Answer

Correlation does not imply causation

Answer

An association between two variables does not establish that one causes the other without controlled experimental evidence.

Question 3

Sequence: 2, 6, 18, 54, ___. What is the next number?

Accepted Answer

162

Answer

Each term is multiplied by 3; 54 × 3 = 162.

Question 4

A survey of 200 students found 120 like math, 90 like science, and 40 like both. How many students like neither subject?

Accepted Answer

30

Answer

By inclusion-exclusion: 120+90−40=170 like at least one; 200−170=30 like neither.

Question 5

Three boxes contain apples, oranges, and a mix. All labels are wrong. You pick one fruit from the 'Mix' box and it is an apple. What is in the box labeled 'Oranges'?

Accepted Answer

Mix

Answer

Since all labels are wrong, the 'Mix' box has only apples; the 'Apples' box can't have apples, so it has oranges; leaving 'Oranges' with the mix.

(FAST) Future Aptitude Selection Tool Practice Test

(FAST) Future Aptitude Selection Tool Practice Test

FAST Analytical Problem Solving 3