GRE first practice

The officers of Renco Manufacturing are analyzing
their company's chances of winning a large contract
to manufacture equipment for the state highway
department. Renco is one of five companies com-
peting for the contract: the others are Selway, Inc.,
Tate Industries, Upshaw Corp., and Velco. The con-
tract will be awarded on the basis of points given in
three categories: cost, amount of experience on similar
contracts, and quality of equipment. In each category,
the company that is best in that category will receive
five points, the second best, 4 points, and so on down
to 1. There will be no ties within any of the categories.
The company that receives the highest total number of
points will be awarded the contract. In the event of a
tie, the company with the higher number of 5's will be
awarded the contract; if the number of 5's is the same,
additional criteria will be used to break the tie.

19. The highest total number of points that any of the
competing companies can receive is

(A) twelve
(B) fourteen
(C) fifteen
(D) twenty
(E) twenty-five

20. If no one company is given the same number of
points in any two categories, the highest possible
winning total is

(A) eleven
(B) twelve
(C) thirteen
(D) fourteen
(E) fifteen

21. If the five companies tie with nine points each,
which of the following CANNOT be the distri-
bution of points received by any of the companies?

(A) Three 3's
(B) Two 4's and a I
(C) A 5 and two 2's
(D) A 4, a 3, and a 2
(E) A 5, a 3, and a I

22. If Selway, Inc. and Velco between them receive all
of the I's and 2's and each of the remaining three
competitors receives a 5, Renco would need to
receive how many points in addition to its 5 to be
awarded the contract without having first been tied
for total number of points?

(A) Four
(B) Five
(C) Six
(D) Seven
(E) Eight

23. Persons imprisoned for violent street crimes often
commit the same crimes again after being released.
Persons imprisoned for white-collar crimes such as
receiving bribes or embezzlement, however, typically
do not, after being released, repeat the crimes for
which they have been imprisoned. It is fair to
conclude that imprisonment, while it often fails to
change the behavior of violent street criminals, does
succeed in making white-collar criminals unwilling
to repeat their crimes.
Which of the following, if true, would most seriously
weaken the conclusion stated above?

(A) Statistics show that persons convicted of com-
mitting white-collar crimes rarely have a
prison record.
(B) The percentage of those who commit white-
collar crimes and are imprisoned for doing
so is lower than the percentage of those who
commit violent street crimes and are impris-
oned for doing so.
(C) White-collar criminals whose prison sentences
are shortened return to criminal activities at
a slightly higher rate than white-collar crimi-
nals who serve their full sentences.
(D) Persons released from prison after white-collar
crimes are seldom given high positions or
access to other people's money.
(E) Persons who commit violent street crimes
seldom commit white-collar crimes, and
vice versa.