GRE QUANTITATIVE REASONING TEST |ACTUAL
QUESTIONS AND VERIFIED ANSWERS|BRAND NEW
2026-2027 UPDATE|GRADED A+
Question 1
x<0<y+z
z≠0
y+zx
yz
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
CORRECT ANSWER
Let's first consider Quantity A. The numerator is specified to be positive , and the
denominator is specified to be negative. The quotient of a positive number divided by a
negative number is always negative, but the magnitude of Quantity A cannot be determined.
You may have been tempted to immediately declare Quantity B to be larger, because the y +
z is positive, but be careful. While y + z > 0, there's nothing stopping either y or z alone from
being negative. This makes it impossible for us to know whether Quantity B is positive,
negative, or even 0. Therefore, the relationship cannot be determined from the information
given.
Choice (D) is correct.
Question 2
1
@THE STUDY VAULT
, A jar contains 3 red, 5 green, 2 blue, and 6 yellow marbles. A marble is chosen at random
from the jar. After replacing the first marble, a second marble is chosen.
A: The probability of choosing a green marble and then a yellow marble
B:11/16
CORRECT ANSWER
Since 5 is the number of green marbles in the jar and 16 is the total number of marbles in
the jar, the probability of selecting a green marble is 516. Applying the same formula to the
yellow marble for the second selection, the probability of selecting a yellow marble is 616.
To find the probability of selecting 1 green and then 1 yellow marble, we take the product of
these two probabilities:
516×616=30256
Without reducing the fraction, it is clear that 30256<12 and 1116>12.
The correct answer is choice (B).
Question 3
probability formula is Probability
CORRECT ANSWER
Probability=Number of desirable outcomes/Number of possible outcomes
Question 4
a > 0 and b < 0.
Quantity A: 1/a^2
Quantity B: 1/b^2
when d
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
2
@THE STUDY VAULT
QUESTIONS AND VERIFIED ANSWERS|BRAND NEW
2026-2027 UPDATE|GRADED A+
Question 1
x<0<y+z
z≠0
y+zx
yz
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
CORRECT ANSWER
Let's first consider Quantity A. The numerator is specified to be positive , and the
denominator is specified to be negative. The quotient of a positive number divided by a
negative number is always negative, but the magnitude of Quantity A cannot be determined.
You may have been tempted to immediately declare Quantity B to be larger, because the y +
z is positive, but be careful. While y + z > 0, there's nothing stopping either y or z alone from
being negative. This makes it impossible for us to know whether Quantity B is positive,
negative, or even 0. Therefore, the relationship cannot be determined from the information
given.
Choice (D) is correct.
Question 2
1
@THE STUDY VAULT
, A jar contains 3 red, 5 green, 2 blue, and 6 yellow marbles. A marble is chosen at random
from the jar. After replacing the first marble, a second marble is chosen.
A: The probability of choosing a green marble and then a yellow marble
B:11/16
CORRECT ANSWER
Since 5 is the number of green marbles in the jar and 16 is the total number of marbles in
the jar, the probability of selecting a green marble is 516. Applying the same formula to the
yellow marble for the second selection, the probability of selecting a yellow marble is 616.
To find the probability of selecting 1 green and then 1 yellow marble, we take the product of
these two probabilities:
516×616=30256
Without reducing the fraction, it is clear that 30256<12 and 1116>12.
The correct answer is choice (B).
Question 3
probability formula is Probability
CORRECT ANSWER
Probability=Number of desirable outcomes/Number of possible outcomes
Question 4
a > 0 and b < 0.
Quantity A: 1/a^2
Quantity B: 1/b^2
when d
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
2
@THE STUDY VAULT
