Q. If A > B and B > C, which of the following is true?
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A.
A > C
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B.
C > A
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C.
B < A
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D.
C < B
Solution
If A > B and B > C, then by transitive property, A > C is true.
Correct Answer: A — A > C
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Q. If A < B and B ≤ C, which of the following is true?
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A.
A < C
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B.
C < A
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C.
B < A
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D.
C = B
Solution
Since A < B and B ≤ C, it follows that A < C.
Correct Answer: A — A < C
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Q. If A ≤ B and B < C, which of the following is true?
-
A.
A < C
-
B.
C < A
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C.
B = A
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D.
C < B
Solution
From A ≤ B and B < C, we can conclude A < C.
Correct Answer: A — A < C
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Q. If D = E and E > F, which of the following is true?
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A.
D > F
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B.
F < D
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C.
E < D
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D.
D < E
Solution
Since D = E and E > F, it follows that D > F.
Correct Answer: A — D > F
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Q. If M ≥ N and N > O, which of the following is true?
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A.
M > O
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B.
M < O
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C.
N < M
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D.
O = N
Solution
From M ≥ N and N > O, we can conclude M > O.
Correct Answer: A — M > O
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Q. If P > Q and Q = R, which of the following is true?
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A.
P > R
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B.
R < P
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C.
Q < P
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D.
P = Q
Solution
Since Q = R and P > Q, it follows that P > R.
Correct Answer: A — P > R
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Q. If P ≤ Q and Q < R, which of the following is true?
-
A.
P < R
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B.
P = R
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C.
Q = P
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D.
R < P
Solution
Since P ≤ Q and Q < R, it follows that P < R.
Correct Answer: A — P < R
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Q. If X > Y and Y = Z, which of the following is true?
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A.
X > Z
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B.
Z > X
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C.
Y < Z
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D.
X = Y
Solution
Since Y = Z and X > Y, it follows that X > Z.
Correct Answer: A — X > Z
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Q. If X < Y and Y = Z, which of the following is true?
-
A.
X < Z
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B.
Z < X
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C.
Y < X
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D.
X = Y
Solution
Since Y = Z, and X < Y, it follows that X < Z.
Correct Answer: A — X < Z
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