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11 May 2022, 06:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
83% (00:35) correct
17%
(01:22)
wrong
based on 46
sessions
History
Date
Time
Result
Not Attempted Yet
thkkrpratik
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Joined: 22 Nov 2021
Last visit: 21 Jul 2025
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Schools: Darden '23 (M)
GPA: 3.87
11 May 2022, 06:47
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Bunuel
\(p^2 - q^2\) = (p+q)(p-q)
Option A -> Not sufficient. Cancel A and D.
Option B -> Not sufficient. Cancel B.
Both together are sufficient.
Option C
11 May 2022, 12:15
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Step 1: Analyse Question Stem
We have to find out a unique value for the expression \(p^2\) – \(q^2\).
Applying standard algebraic identities, \(p^2\) – \(q^2\) = (p+q) (p-q).
Therefore, we need information about values of (p+q) and (p-q), to answer the question.
Step 2: Analyse Statements Independently (And eliminate options) – AD / BCE
Statement 1: p + q = −4
We have no information about p – q. Additionally, this equation can be satisfied by infinite combinations of p and q.
Therefore, there is no way of finding out unique values for p and q and hence for p – q.
The data in statement 1 is insufficient to find out a unique value of the given expression.
Statement 1 alone is insufficient. Answer options A and D can be eliminated.
Statement 2: p − q = 4
We have no information about p + q. Additionally, this equation can be satisfied by infinite combinations of p and q.
Therefore, there is no way of finding out unique values for p and q and hence for p + q.
The data in statement 2 is insufficient to find out a unique value of the given expression.
Statement 2 alone is insufficient. Answer option B can be eliminated.
Step 3: Analyse Statements by combining
From statement 1: p + q = −4
From statement 2: p − q = 4
Combining both, we can find the product of (p+q) * (p-q) and hence the value of \(p^2\) – \(q^2\).
The combination of statements is sufficient to find out a unique value of the given expression.
Statements 1 and 2 together are sufficient. Answer option E can be eliminated.
The correct answer option is C.
We have to find out a unique value for the expression \(p^2\) – \(q^2\).
Applying standard algebraic identities, \(p^2\) – \(q^2\) = (p+q) (p-q).
Therefore, we need information about values of (p+q) and (p-q), to answer the question.
Step 2: Analyse Statements Independently (And eliminate options) – AD / BCE
Statement 1: p + q = −4
We have no information about p – q. Additionally, this equation can be satisfied by infinite combinations of p and q.
Therefore, there is no way of finding out unique values for p and q and hence for p – q.
The data in statement 1 is insufficient to find out a unique value of the given expression.
Statement 1 alone is insufficient. Answer options A and D can be eliminated.
Statement 2: p − q = 4
We have no information about p + q. Additionally, this equation can be satisfied by infinite combinations of p and q.
Therefore, there is no way of finding out unique values for p and q and hence for p + q.
The data in statement 2 is insufficient to find out a unique value of the given expression.
Statement 2 alone is insufficient. Answer option B can be eliminated.
Step 3: Analyse Statements by combining
From statement 1: p + q = −4
From statement 2: p − q = 4
Combining both, we can find the product of (p+q) * (p-q) and hence the value of \(p^2\) – \(q^2\).
The combination of statements is sufficient to find out a unique value of the given expression.
Statements 1 and 2 together are sufficient. Answer option E can be eliminated.
The correct answer option is C.
