Compare quantity A and quantity B, using additional information centered above the two quantities if such information is given, and select one of the following four answer choices:
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
As the symbol that appears more than once in a question has the same meaning throughout the question.
Question 1:
Quantity A |
Quantity B |
The least prime number greater than 24 |
The greater prime number less than 28 |
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Explanation:
For the integers greater than 24, note that 25, 26, 27, and 28 are not prime numbers, but 29 is a prime number, as are 31 and many other greater integers. Thus, 29 is the least prime number greater than 24, and Quantity A is 29. For the integers, less than 28, note that 27, 26, 25, and 24 are not prime numbers, but 23 is a prime number, as are 19 and several other lesser integers. Thus, 23 is the greatest prime number less than 28, and Quantity B is 23.
Thus, the correct answer is Choice A, Quantity A is greater.
Question 2:
Quantity A |
Quantity B |
PS |
SR |
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Explanation:
From Figure 1, one can know that PQR is a triangle and that point S is between points P and R, so PS is less than PR. and SR is less than PR. test takers are also given that PQ is equal to PR. However, this information is not sufficient to compare PS and SR. Furthermore, because the figure is not necessarily drawn to scale, one cannot determine the relative sizes of PS and SR visually from the figure, though they may appear to be equal. The position of S can vary alongside PR anywhere between P and R. Below are two possible variations of Figure 1, each of which is drawn to be consistent with the information PQ is equal to PR.
Note that Quantity A is greater in Figure 2 and Quantity B is greater in Figure 3.
Thus, the correct answer is Choice D, the relationship cannot be determined from the information given.