|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
14 Nov 2025, 00:20
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
72% (01:44) correct
28%
(01:21)
wrong
based on 133
sessions
History
Date
Time
Result
Not Attempted Yet
How many members of the judicial committee voted against the appointment of Judge Kwazi?
(1) 30% of the members abstained from voting.
(2) If 10 more members had voted against the appointment, then the fraction of members voting against it would have been 40%.
(1) 30% of the members abstained from voting.
(2) If 10 more members had voted against the appointment, then the fraction of members voting against it would have been 40%.
14 Nov 2025, 21:56
Kudos
Bookmarks
Let the total number of committee members be T, and the number who voted against be A.
Statement (1):
30% abstained → 70% voted.
This tells us nothing about how many voted **against**.
➡️ Insufficient
Statement (2):
If 10 more members had voted against, then
[frac{A+10}{T} = 0.4]
[A = 0.4T - 10]
This is one equation in two unknowns (**A** and **T**) → infinite solutions.
Insufficient
Combine (1) and (2):
From (1):
Those who voted = (0.7T).
So (A \le 0.7T).
But from (2):
[
A = 0.4T - 10
]
Substituting doesn’t give a unique value—there are many possible (T) that satisfy both conditions.
For example:
* If (T = 30), then (A = 2)
* If (T = 40), then (A = 6)
* If (T = 50), then (A = 10)
All satisfy both statements.
➡️ Still not enough to determine a unique number of votes against.
**Statements (1) and (2) together are NOT sufficient** to determine how many members voted against the appointment.
Answer: E
Statement (1):
30% abstained → 70% voted.
This tells us nothing about how many voted **against**.
➡️ Insufficient
Statement (2):
If 10 more members had voted against, then
[frac{A+10}{T} = 0.4]
[A = 0.4T - 10]
This is one equation in two unknowns (**A** and **T**) → infinite solutions.
Insufficient
Combine (1) and (2):
From (1):
Those who voted = (0.7T).
So (A \le 0.7T).
But from (2):
[
A = 0.4T - 10
]
Substituting doesn’t give a unique value—there are many possible (T) that satisfy both conditions.
For example:
* If (T = 30), then (A = 2)
* If (T = 40), then (A = 6)
* If (T = 50), then (A = 10)
All satisfy both statements.
➡️ Still not enough to determine a unique number of votes against.
**Statements (1) and (2) together are NOT sufficient** to determine how many members voted against the appointment.
Answer: E
28 Dec 2025, 04:49
Kudos
Bookmarks
ExpertsGlobal5
Explanation:
Let the number of people who did not vote be X.
Let the number of people who voted against the appointment of Judge Kwazi be A.
Let the number of people who voted in favor of the appointment of Judge Kwazi be B.
Total members in the judicial committee = X + A + B
We need to find whether the value of A can be determined.
Statement (1)
0.3(X + A + B) = X
Since we have 1 equation with 3 unknown variables it is not possible to determine the exact value of A. Hence, Statement (1) is insufficient.
Statement (2)
(A + 10) = 0.4(X + A + B)
Since we have 1 equation with 3 unknown variables it is not possible to determine the exact value of A. Hence, Statement (2) is insufficient.
As Statement (1) alone as well as Statement (2) alone is insufficient to answer the question, we need to now combine the two statements.
Statement (1) and Statement (2) combined
The two statements combined give us 2 equations with 3 unknown variables.
It is not possible to determine the exact value of A. Hence, Statement (1) and Statement (2) combined are insufficient.
E is the correct answer choice.
