GRE QUANTITATIVE REASONING -COMPARISION
|ACTUAL QUESTIONS AND VERIFIED
ANSWERS|BRAND NEW 2026-2027
UPDATE|GRADED A+
Question 1
Two different juice concentrates, A and B, are used to form two different mixtures P and Q.
To make P, x ml of A and 40 ml of B are used; while to make Q, 90 ml of A and x ml of B are
used. It was observed that the juice concentration in each mixture, P and Q, is the same.
Quantity A Quantity B
x 60
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
CORRECT ANSWER
Solution
Since the concentration of juice in either mixture, P and Q, is the same, the concentrates
A and B must have been mixed in the same ratio by volume to form the mixtures.
Ratio of volumes of A and B in P = Undefined control sequence \dfrac
Ratio of volumes of A and B in Q = Undefined control sequence \dfrac
Thus, we have:
x40=90x
=>x2=3600
=>x=60
Thus, Quantity A and Quantity B are equal.
The correct answer is Option C.
1
@THE STUDY VAULT
, Question 2
p,q,r, and s are four numbers such that pq2−|q|>q2r−|s| and |q|>|s|
Quantity A Quantity B
pr
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
CORRECT ANSWER
We have:
pq2−|q|>q2r−|s| ... (i)
|q|>|s|=>|q|−|s|>0 ... (ii)
From (i): pq2−|q|>q2r−|s|
=>pq2−q2r>|q|−|s|
Thus, from (ii):
pq2−q2r>0
=>q2(p−r)>0
Since q2, being a square term, is always non-negative, we can conclude that (p−r) must
also be positive
=>p−r>0
=>p>r
Thus, Quantity A is greater than Quantity B.
The correct answer is Option A.
2
@THE STUDY VAULT
|ACTUAL QUESTIONS AND VERIFIED
ANSWERS|BRAND NEW 2026-2027
UPDATE|GRADED A+
Question 1
Two different juice concentrates, A and B, are used to form two different mixtures P and Q.
To make P, x ml of A and 40 ml of B are used; while to make Q, 90 ml of A and x ml of B are
used. It was observed that the juice concentration in each mixture, P and Q, is the same.
Quantity A Quantity B
x 60
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
CORRECT ANSWER
Solution
Since the concentration of juice in either mixture, P and Q, is the same, the concentrates
A and B must have been mixed in the same ratio by volume to form the mixtures.
Ratio of volumes of A and B in P = Undefined control sequence \dfrac
Ratio of volumes of A and B in Q = Undefined control sequence \dfrac
Thus, we have:
x40=90x
=>x2=3600
=>x=60
Thus, Quantity A and Quantity B are equal.
The correct answer is Option C.
1
@THE STUDY VAULT
, Question 2
p,q,r, and s are four numbers such that pq2−|q|>q2r−|s| and |q|>|s|
Quantity A Quantity B
pr
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
CORRECT ANSWER
We have:
pq2−|q|>q2r−|s| ... (i)
|q|>|s|=>|q|−|s|>0 ... (ii)
From (i): pq2−|q|>q2r−|s|
=>pq2−q2r>|q|−|s|
Thus, from (ii):
pq2−q2r>0
=>q2(p−r)>0
Since q2, being a square term, is always non-negative, we can conclude that (p−r) must
also be positive
=>p−r>0
=>p>r
Thus, Quantity A is greater than Quantity B.
The correct answer is Option A.
2
@THE STUDY VAULT
