FAST Analytical Problem Solving 4

Question 1

A car travels 60 mph for 2 hours, then 40 mph for 3 hours. What is the car's average speed for the entire trip?

Accepted Answer

48 mph

Answer

Total distance = 120+120=240 miles; total time = 5 hours; average speed = 240÷5 = 48 mph.

Question 2

A manager notices sales increase whenever a new ad campaign runs. She concludes the campaigns always cause sales increases. Which scenario would most weaken her conclusion?

Accepted Answer

Sales also increase during holidays when no campaign runs

Answer

If sales rise during holidays without campaigns, a third variable (seasonality) could be driving both, undermining the causal claim.

Question 3

Pattern: 1, 1, 2, 3, 5, 8, 13, ___. What comes next?

Accepted Answer

21

Answer

This is the Fibonacci sequence; each term is the sum of the two preceding: 8+13=21.

Question 4

Two statements: 'All managers are employees' and 'Some employees are part-time.' Which conclusion is valid?

Accepted Answer

Some managers may be part-time

Answer

'Some managers may be part-time' is the only valid conclusion since the overlap between part-time employees and managers is possible but not confirmed.

Question 5

A tank fills in 6 hours with pipe A alone and in 4 hours with pipe B alone. How long does it take with both pipes open?

Accepted Answer

2.4 hours

Answer

Combined rate = 1/6+1/4 = 5/12 per hour; time = 12/5 = 2.4 hours.

(FAST) Future Aptitude Selection Tool Practice Test

(FAST) Future Aptitude Selection Tool Practice Test

FAST Analytical Problem Solving 4