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23 Jan 2026, 07:45
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
79% (01:35) correct
21%
(01:21)
wrong
based on 47
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On a recent test, Kevin scored m percent higher than the class average, while Katherine scored n percent higher than the class average. What was the class average?
(1) n – m = 7
(2) m = 12
Source: Grockit
(1) n – m = 7
(2) m = 12
Source: Grockit
23 Jan 2026, 11:10
Kudos
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On a recent test, Kevin scored m percent higher than the class average, while Katherine scored n percent higher than the class average. What was the class average?
(1) n – m = 7
(2) m = 12
Let the class average be 'X'. Thus:
Kevin's score: (100+m)/100 * X
Katherine's score: (100+n)/100 * X
Now, let's look at each statement individually and then at both of them together (if required):
Statement 1: n – m = 7
Since no such concrete values for n or m are given, we cannot conclude anything about the scores or class average. Thus, Statement 1 is insufficient alone.
Now, let's look at Statement 2:
Statement 2: m = 12
Using this statement alone, we can only calculate the value of Kevin's score = (100+12)/100*X =1.12X
However, this does not tell us anything about the class average X.
Considering them together:
m = 12 and n-m = 7 => n = 19
Using these values of m and n, we would only be able to calculate the scores of Kevin and Katherine (as follows), but not the value of the class average X.
Kevin's score = 1.12 X (as calculated above)
Katherine's score = (100+19)/100*X =1.19X
However, this still doesn't tell us anything about the value of X.
Hence, the correct answer is Option E - Neither statement alone nor together is sufficient.
Hope this helps!
(1) n – m = 7
(2) m = 12
Let the class average be 'X'. Thus:
Kevin's score: (100+m)/100 * X
Katherine's score: (100+n)/100 * X
Now, let's look at each statement individually and then at both of them together (if required):
Statement 1: n – m = 7
Since no such concrete values for n or m are given, we cannot conclude anything about the scores or class average. Thus, Statement 1 is insufficient alone.
Now, let's look at Statement 2:
Statement 2: m = 12
Using this statement alone, we can only calculate the value of Kevin's score = (100+12)/100*X =1.12X
However, this does not tell us anything about the class average X.
Considering them together:
m = 12 and n-m = 7 => n = 19
Using these values of m and n, we would only be able to calculate the scores of Kevin and Katherine (as follows), but not the value of the class average X.
Kevin's score = 1.12 X (as calculated above)
Katherine's score = (100+19)/100*X =1.19X
However, this still doesn't tell us anything about the value of X.
Hence, the correct answer is Option E - Neither statement alone nor together is sufficient.
Hope this helps!
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