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11 Jul 2022, 07:22
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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:
45%
(medium)
Question Stats:
49% (01:18) correct
51%
(01:38)
wrong
based on 67
sessions
History
Date
Time
Result
Not Attempted Yet
14 Jul 2022, 08:32
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Quote:
Statement (1) is clearly NOT sufficient, since it invokes a second variable about which we can deduce nothing. We are left with no way of correlating the two unknowns.
Statement (2) is a run-of-the-mill absolute value equation, and looking at it for a few seconds should allow you to figure out that p has two solutions, 11 and -21. Of course, you could solve for the second solution more formally if you were uncomfortable with absolute values: -(p + 5) = 16. Since there are two valid solutions to the question, this statement is NOT sufficient.
Together, the statements allow us to rule out -21, since
5|q + 1| = (-21) - 5
will not produce a valid equation. The right-hand side cannot be negative. Thus, p can only equal 11, and the answer must be (C). (The other variable was in the equation as a red herring.)
- Andrew
14 Jul 2022, 09:21
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Absolute value questions are among the hardest questions in the GMAT test
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16 Jul 2022, 09:33
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Asked: What is the value of p?
(1) 5|q + 1| = p - 5
Since 5|q+1|>=0
p-5>=0
p>=5
NOT SUFFICIENT
(2) |p + 5| = 16
Case 1: p>=-5; p +5 = 16; p = 11
Case 2: p<-5; -p-5 = 16; p = -16-5=-21
p = 11 or -21
NOT SUFFICIENT
(1) + (2)
(1) 5|q + 1| = p - 5
since 5|q+1|>=0
p -5 >=0
p>=5
(2) |p + 5| = 16
Case 1: p>=-5; p +5 = 16; p = 11
Case 2: p<-5; -p-5 = 16; p = -16-5=-21; But p>=5; Invalid
p = 11
SUFFICIENT
IMO C
(1) 5|q + 1| = p - 5
Since 5|q+1|>=0
p-5>=0
p>=5
NOT SUFFICIENT
(2) |p + 5| = 16
Case 1: p>=-5; p +5 = 16; p = 11
Case 2: p<-5; -p-5 = 16; p = -16-5=-21
p = 11 or -21
NOT SUFFICIENT
(1) + (2)
(1) 5|q + 1| = p - 5
since 5|q+1|>=0
p -5 >=0
p>=5
(2) |p + 5| = 16
Case 1: p>=-5; p +5 = 16; p = 11
Case 2: p<-5; -p-5 = 16; p = -16-5=-21; But p>=5; Invalid
p = 11
SUFFICIENT
IMO C
