Test Prep GRE Section 2 Quantitative Exam Practice Questions (P. 3)
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Question #21
Three movie patrons of differing heights are standing in line, one behind the other, to purchase tickets for the movie.
- AThe quantity in Column A is greater;
- BThe quantity in Column B is greater;
- CThe quantities are equal;
- DThe relationship cannot be determined from the information given.
Correct Answer:
B
There are six possible sequences, and so Quantity
. Any of the three patrons (including the one who is middle in height) could be first, second, or third in
line; hence Quantity
B
There are six possible sequences, and so Quantity
. Any of the three patrons (including the one who is middle in height) could be first, second, or third in
line; hence Quantity
Question #22
A buyer pays a $1.00 tax on an item that costs $10.00 after the tax is added.
- AThe quantity in Column A is greater;
- BThe quantity in Column B is greater;
- CThe quantities are equal;
- DThe relationship cannot be determined from the information given.
Correct Answer:
A
The tax ($1.00) is based on a $9.00 price. Thus, the tax is , which is greater than
A
The tax ($1.00) is based on a $9.00 price. Thus, the tax is , which is greater than
Question #23
- AThe quantity in Column A is greater;
- BThe quantity in Column B is greater;
- CThe quantities are equal;
- DThe relationship cannot be determined from the information given.
Correct Answer:
C
As you can see, the two quantities are equal.
C
As you can see, the two quantities are equal.
Question #24
- AThe quantity in Column A is greater;
- BThe quantity in Column B is greater;
- CThe quantities are equal;
- DThe relationship cannot be determined from the information given.
Correct Answer:
C
You can express the centered information as the algebraic form 2n+ 5 = 17. Now, solve for n: 2n= 12;n= 6. Find Quantity A: 3 less than is 3 - 3 = 0. Find
Quantity B: 2 less than -
is 2 - 2 = 0.
C
You can express the centered information as the algebraic form 2n+ 5 = 17. Now, solve for n: 2n= 12;n= 6. Find Quantity A: 3 less than is 3 - 3 = 0. Find
Quantity B: 2 less than -
is 2 - 2 = 0.
Question #25
- AThe quantity in Column A is greater;
- BThe quantity in Column B is greater;
- CThe quantities are equal;
- DThe relationship cannot be determined from the information given.
Correct Answer:
B
The comparison is easily made by substituting some simple numbers for p and q. For example, assume p= 1 and q= 2. The ratio of p to (p+ 1) is 1:2, or , while
the ratio of q to (q+ 1) is 2:3, or
. As long as 0 <p<q, the inequality
will hold.
B
The comparison is easily made by substituting some simple numbers for p and q. For example, assume p= 1 and q= 2. The ratio of p to (p+ 1) is 1:2, or , while
the ratio of q to (q+ 1) is 2:3, or. As long as 0 <p<q, the inequality
will hold.
Question #26
Distribution P is given as {-2, 1, x}, where x is the median. Distribution Q is given as {x, 0, 3}, where x is the median.
- AThe quantity in Column A is greater;
- BThe quantity in Column B is greater;
- CThe quantities are equal;
- DThe relationship cannot be determined from the information given.
Correct Answer:
D
Standard deviation measures the dispersion of numbers around the mean (simple average) of those numbers. The greater the dispersion, the greater the standard
deviation. In both sets, the range is 3. Ifx= the dispersions are the same (Quantity A = Quantity B) because the means would be the same. Otherwise, the dispersions and the two quantities differ from each other.
D
Standard deviation measures the dispersion of numbers around the mean (simple average) of those numbers. The greater the dispersion, the greater the standard
deviation. In both sets, the range is 3. Ifx= the dispersions are the same (Quantity A = Quantity B) because the means would be the same. Otherwise, the dispersions and the two quantities differ from each other.
Question #27
- AThe quantity in Column A is greater;
- BThe quantity in Column B is greater;
- CThe quantities are equal;
- DThe relationship cannot be determined from the information given.
Correct Answer:
C
Manipulate the expression in Column A so that it resembles the expression in Column B. Distribute the denominator to each term in the numerator, then cancel common terms:
C
Manipulate the expression in Column A so that it resembles the expression in Column B. Distribute the denominator to each term in the numerator, then cancel common terms:
Question #28
- AThe quantity in Column A is greater;
- BThe quantity in Column B is greater;
- CThe quantities are equal;
- DThe relationship cannot be determined from the information given.
Correct Answer:
A
You can cancel out the term -2u from both columns, which leaves a comparison between
As you can see, Quantity A> Quantity B.
A
You can cancel out the term -2u from both columns, which leaves a comparison between
As you can see, Quantity A> Quantity B.
Question #29
The toll for driving on road A is $1.20 for the first mile and 35 cents for each additional mile. The toll for driving on road B is $2.25 for the first mile and 20 cents for each additional mile.
Question #30
- AThe quantity in Column A is greater;
- BThe quantity in Column B is greater;
- CThe quantities are equal;
- DThe relationship cannot be determined from the information given.
Correct Answer:
A
Which is clearly greater than
A
Which is clearly greater than
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