Question 1

A milepost on the towpath read “21” on the side facing the hiker as she approached it and “23” on its back. She reasoned that the next milepost forward on the path would indicate that she was halfway between one end of the path and the other. However, the milepost one mile further on read “20” facing her and “24” behind. Which of the following, if true, would explain the discrepancy described above?

Options :

A : The numbers on the next milepost had been reversed

B : The numbers on the mileposts indicate kilometers, not miles

C : The facing numbers indicate miles to the end of the path, not miles from the beginning.

D : A milepost was missing between the two the hiker encountered.

E : The mileposts had originally been put in place for the use of mountain bikers, not for hikers.

Answer: C

Question 2

Correctly measuring the productivity of service workers is complex. Consider, for example, postal workers: they are often said to be more productive if more letters are delivered per postal worker. But is this really true? What if more letters are lost or delayed per worker at the same time that more are delivered? The objection implied above to the productivity measure described is based on doubts about the truth of which of the following statements?

Options :

A : Postal workers are representative of service workers in general

B : The delivery of letters is the primary activity of the postal service

C : Productivity should be ascribed to categories of workers, not to individuals.

D : The quality of services rendered can appropriately be ignored in computing productivity

E : The number of letters delivered is relevant to measuring the productivity of postal workers.

Answer: D

Question 3

How long exactly did it take Claudia to drive from the beach house to her green house?

(1) Claudia drove at a constant speed of 55 miles per hour.

(2) The approximate distance between the beach house and the green house is 200 miles

Options :

A : Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

B : Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

C : Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

D : Either statement BY ITSELF is sufficient to answer the question.

E : Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

Answer: A

Question 4

A green lizard can travel from the green cave to the blue cave in 108 minutes; the blue lizard can travel from the blue cave to the green cave in 25% less time. If the green lizard started to travel 7.5 minutes before the blue lizard, how many minutes after the blue lizard, will the green lizard pass the middle line?

Options :

A : 2

B : 3.5

C : 4

D : 5.5

E : 6

Answer: A

Question 5

A positive integer k is called “square-free” if it does not have a factor that is the square of an integer. Which of the following greatest square-free integer that is a factor of 4,200?

Options :

A : 105

B : 168

C : 210

D : 420

E : 1,050

Answer: C