(Logical and Analytical Reasoning Questions)

Part I: Logical Reasoning Ability

For Question 1-5 :

Six actors – Bob, Carol, Dave. Ed, Frank, and Grace – are auditioning for a part in an off-Broadway play. The auditions for a part in an off-Broadway play. The auditions will take place over four consecutive days, starting on a Thursday. Each actor will have one audition. The days on which the different actors will audition must conform to the following conditions: At least one audition will take place on any day.

No more than two auditions will take place on any day

No more than 3 auditions will take place on any two consecutive days Bob’s audition must take place on Saturday

Carol’s audition must take place on the same day as another audition Frank’s audition must take place on a day before grace’s audition Dave’s audition must take place on a day after Ed’s audition

1. if only one audition takes place on Thursday, which actor could have that audition a. Bob

b. Carol

c. Dave

d. Frank

e. Grace

2. If Bob’s and frank’s auditions are on the same day, which of the following must be true a. Dave’s audition will take place on Thursday

b. Dave’s audition will take place on Friday

c. Grace’s audition will take place on Thursday

d. Carol’s audition will take place on Sunday

e. Ed’s audition will take place on Sunday

3. If the director decides to two hold the auditions on Thursday and two on Sunday, how many actors would be eligible to audition on Fridaya. 1

b. 2

c. 3

d. 4

e. 5

4. If Ed and Grace have their auditions on the same day, which of the following must be true? a. Ed’s audition will take place on Thursday

b. Frank’s audition will take place on Thursday

c. Carol’s audition will take place on Saturday

d. Grace’s audition will take place on Saturday

e. Carol’s audition will take place on Sunday

5. If Ed’s audition is on Saturday, which of the following actors cannot audition on the same day as any other actor? a. Bob

b. Carol

c. Ed

d. Frank

e. Grace

For Question 6-9 : As part of their sports physicals, seven collegiate athletes – F, G, H, I, J, K & L – are being weighed. In announcing the results of the physical exams, the coach has given the following information: None of the athletes is exactly the same weight as another athlete K is heavier than L, but lighter than H

I is heavier than J

Both F and G are heavier than H.

6. Each of the following could be true EXCEPT

a. F is the heaviest

b. G is the heaviest

c. I is the heaviest

d. More than three athletes are heavier than K

e. More than three athletes are lighter than K

7. Which of the following, if true, would be sufficient to determine which athlete is the lightest?a. I is the heaviest b. I is lighter than K

c. K is heavier than J

d. J is heavier than K

e. Exactly five students are lighter than F

8. If J is heavier than F, how many different rankings, by weight, of the athletes are possible? a. 1

b. 2

c. 4

d. 6

e. 8

9. If H is heavier than I, which of the following CANNOT be true? a. I’s weight is equal to the average of F’s weight and G’s weight b. I’s weight is equal to the average of K’s weight and L’s weight c. J’s weight is equal to the average of K’s weight and L’s weight d. J is the second lightest

e. J is the lightest

A. Part II : Logical Reasoning Questions [2 x 8 = 16 Marks]

Select the best answer for each of the following questions.

10. Someone wishes to deduce the conclusion that there are at least two men in Calcutta who have exactly the same number of hair on their heads. He begins with a premise that there are more men in Calcutta than there are hair on the head of any person in the entire world(whether men or women). The desired conclusion can be validly deduced

a. From the original premise just as it stands

b. If we add a premise that no man in Calcutta is completely bald, but not from the original premise as...