FAST Analytical Problem Solving 2

Question 1

A factory produces widgets at a rate of 120 per hour. After a machine upgrade, output increases by 25%. How many widgets are produced in an 8-hour shift after the upgrade?

Accepted Answer

1200

Answer

120 × 1.25 = 150 widgets/hour; 150 × 8 = 1,200 widgets.

Question 2

Four suspects are questioned about a theft. Alex lies on Mondays, Wednesdays, and Fridays. Beth lies on Tuesdays, Thursdays, and Saturdays. Both claim today is Sunday. What can you conclude?

Accepted Answer

At least one of them is lying

Answer

If today were Sunday, neither would be in their lying cycle, but they cannot both be right unless the day is confirmed independently, and the scenario is self-referential, so at least one must be lying.

Question 3

A dataset has values: 4, 8, 6, 12, 10, 6, 8. Which measure of central tendency is most affected by replacing the value 12 with 30?

Accepted Answer

Mean

Answer

The mean uses all values arithmetically, so a large outlier like 30 shifts it significantly more than the median or mode.

Question 4

If all Blips are Bloops, some Bloops are Blaps, and no Blaps are Blips, which must be true?

Accepted Answer

Some Bloops are not Blips

Answer

Since some Bloops are Blaps and no Blaps are Blips, those Blap-Bloops cannot be Blips, so some Bloops are not Blips.

Question 5

A store marks up items by 40% above cost, then offers a 20% discount. What is the net percentage change from original cost to final price?

Accepted Answer

12% profit

Answer

1.40 × 0.80 = 1.12, meaning a 12% profit over original cost.

(FAST) Future Aptitude Selection Tool Practice Test

(FAST) Future Aptitude Selection Tool Practice Test

FAST Analytical Problem Solving 2