On
three tests, each graded on a scale of 0 to 100, Jim had an average
score of 78. If Jim pulls his average up to 84 after taking two
additional tests, what is the lowest possible score he could have received
on one of the last two tests?

(A)

78

(B)

86

(C)

88

(D)

93

(D)

It is impossible for him to have increased his average
score by this amount after taking two additional tests.

2.

Suppose
the probability of the Red Sox winning the World Series is .1 and
the probability of pigs flying is .01. (Assume these events are
independent.) What is the probability of pigs flying and the Red
Sox not winning the World Series?

(A)

.001

(B)

.009

(C)

.01

(D)

.09

(D)

.099

3.

To
build a sandwich at a particular restaurant, customers may choose
1 of 3 types of bread, 1 of 4 different types of meat, and 2 of
5 different types of condiments. How many different sandwiches can be
created at this restaurant? (Assume that the two accessories chosen
must be different.)

(A)

12

(B)

30

(C)

60

(D)

120

(D)

240

4.

A
sock drawer contains 6 socks, 3 of which are definitely blue and
the other 3 of which are either blue or black (exactly how many
of each is unknown). If the probability of picking two blue socks
in a given random selection of two socks is ^{2}
/_{3}, how many black
socks must the drawer contain?

(A)

0

(B)

1

(C)

2

(D)

3

(D)

Impossible to tell

5.

A
set contains eight distinct elements. Each element is an integer
not equal to zero. If for every element x that
is in this set, –x is also in this set, what is
the mean of the set?

(A)

0

(B)

(C)

x

(D)

(D)

1

6.

At
a local animal shelter, there are 23 animals being cared for. If
15 of the animals are brown, 5 are brown cats, and 7 of the animals
are neither brown nor cats, how many cats must be in the animal shelter?