If
x
is a positive integer, is the remainder 0 when 3
x
+ 1 is divided by 10?
(1)
x
= 4
n
+ 2, where
n
is a positive integer.
(2)
x > 4
A. Statement (1)
ALONE
is sufficient, but statement (2) alone is not sufficient.
B. Statement (2)
ALONE
is sufficient, but statement (1) alone is not sufficient.
C.
BOTH
statements
TOGETHER
are sufficient, but
NEITHER
statement
ALONE
is
sufficient.
D.
EACH
statement
ALONE
is sufficient.
E. Statements (1) and (2)
TOGETHER
are
NOT
sufficient.
Answer:
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Q12:
If
r
,
s
, and
w
are positive numbers such that
w
= 60
r
+ 80
s
and
r
+
s
= 1, is
w
< 70?
(1)
r
> 0.5
(2)
r
>
s
A. Statement (1)
ALONE
is sufficient, but statement (2) alone is not sufficient.
B. Statement (2)
ALONE
is sufficient, but statement (1) alone is not sufficient.
C.
BOTH
statements
TOGETHER
are sufficient, but
NEITHER
statement
ALONE
is
sufficient.
D.
EACH
statement
ALONE
is sufficient.
E. Statements (1) and (2)
TOGETHER
are
NOT
sufficient.
Answer:
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Q13:
What is the value of the integer
n
?
(1)
n
(
n
+ 2) = 15
(2)
(
n
+ 2)
n
= 125
A. Statement (1)
ALONE
is sufficient, but statement (2) alone is not sufficient.
B. Statement (2)
ALONE
is sufficient, but statement (1) alone is not sufficient.
C.
BOTH
statements
TOGETHER
are sufficient, but
NEITHER
statement
ALONE
is
sufficient.
D.
EACH
statement
ALONE
is sufficient.
E. Statements (1) and (2)
TOGETHER
are
NOT
sufficient.
Answer:
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Q14:
If a code word is defined to be a sequence of different letters chosen from the 10 letters
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
, and
J
, what is the ratio of the number of 5-letter code words to
the number of 4-letter code words?
A.
5 to 4
B.
3 to 2
C.
2 to 1
4