= = =
16. (19) There are at most 14 blank cards, so at least
86 of the 100 cards have one or both of the
letters A and C on them. If x is the number of
cards with both letters on them, then
75 + 30 x 86
x 105 86 = 19.
This is illustrated in the Venn dia
3
1
2
82 Diagnostic Test
8. B. The rejected author identifies with these baseball
players, who constantly must face failure.
He sees he is not alone in having to confront
failure and move on.
9. B. The author uses the joggers comment to make
a point about
3, and 1. Then the areas of the circles are 16 ,
9 , and . The sum of the areas of the white
circles is 10 , the shaded region is
16 10 = 6 , and
Section 8 Critical Reading
1. A. Voles are similar to mice; however, they are
also different from them, and s
so only to an extent. By using this phrase,
the author qualifies his statement, making it
less absolute.
17. C. One would expect someone who dismisses or
rejects most comparisons of athletics to art to
avoid making such comparisons. The author,
however, i
Hendersons home run on Moore. Registering
in Moores mind, the home run made an
impression on him.
11. C. The author looks on himself as someone who
to succeed at all.must perform at an extraordinary
level of excellence. This level of
achievement, he maint
was imperturbable, not capable of being agitated
or perturbed.
Note how the phrase in spite of signals the
contrast between the subjects calm and the
surrounding panic. (Contrast Signal)
6. E. Despite his hard work trying to solve the problem,
the solutio
(Cause and Effect Signal)
3. B. The fact that the languages of the
Mediterranean area were markedly (strikingly)
alike eased or facilitated the movement of
people and ideas from country to country.
Note how the specific examples in the second
part of the
k = (4)(10) = 40, and 40 = x(20)
x = 2.
Also, since y varies directly with z, there is a
constant m such that = m, so m= .
Then
5z = 80
z = 16,
and so
x + z = 2 + 16 = 18.
15. E. To find the average of three numbers, divide
their sum by 3: . To simplify
in choice D. The graph of y = f(x 3) reflects
choice D in the x-axis, resulting in graph E.
9. A. Since C = 2 r, then r = , and
area of circle = r2 = =
=
10. B.
11. C.
.
12. E. Joanna needed to drive the m miles in
h + hours. Since r = , to find her rate,
He believes that a person who focuses on the
job at hand, rather than dwelling on past failures,
will continue to function successfully.
Thus, this author is not particularly swayed by
the Passage 1 authors contention that a failure
such as giving up a ke
n2 < 30. This is true for all integers between
5 and 5 inclusive, 11 in all.
4. D. The only thing to do is to test each set of values
to see which ones work and which one
doesnt. In this case, choice D, a = 3 and
b = 4, does not work:
2(3)2 + 3(4) = 18 12
her accomplishments.
13. C. The author of Passage 2 discusses the advantages
of his ability to concentrate. Clearly, he
prizes his ability to focus on the task at hand.
14. B. When one football team is ahead of another by
several touchdowns and there seem