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04 Nov 2024, 01:45
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Difficulty:
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72% (01:30) correct
28%
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If x is an integer, what is the maximum value of -|-7x + 11|?
A. -5
B. -3
C. -2
D. 0
E. 2
A. -5
B. -3
C. -2
D. 0
E. 2
04 Nov 2024, 06:12
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|Any value| can be 0 or positive.
Here we are given that x is an integer.
-7x+11 = 0
x= 11/7 = 1.57
1.57 is between 1 and 2
if x is 1, the given modulus becomes -4
if x is 2, the given modulus becomes -3
-3 is the biggest value it can take - Option B
Here we are given that x is an integer.
-7x+11 = 0
x= 11/7 = 1.57
1.57 is between 1 and 2
if x is 1, the given modulus becomes -4
if x is 2, the given modulus becomes -3
-3 is the biggest value it can take - Option B
Updated on: 09 Nov 2024, 07:29
Originally posted by QuantMadeEasy on 04 Nov 2024, 06:38.
Last edited by QuantMadeEasy on 09 Nov 2024, 07:29, edited 1 time in total.
Last edited by QuantMadeEasy on 09 Nov 2024, 07:29, edited 1 time in total.
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Lets solve using the options:
A.
-|-7x + 11|= -5
Solving, x = 6/7 or 16/7, not an integer, Incorrect
B.
-|-7x + 11|= -3
Solving, x = 1 OR 2, which is an integer, Correct
C.
-|-7x + 11|= -2
Solving x = 9/7 or 13/7, not an integer, Incorrect
D.
-|-7x + 11|= 0
Solving x = 11/7, which is not an integer, Incorrect
E.
-|-7x + 11|= 2, not possible as there is negative outside modulus, the option has to be negative
IMO B
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A.
-|-7x + 11|= -5
Solving, x = 6/7 or 16/7, not an integer, Incorrect
B.
-|-7x + 11|= -3
Solving, x = 1 OR 2, which is an integer, Correct
C.
-|-7x + 11|= -2
Solving x = 9/7 or 13/7, not an integer, Incorrect
D.
-|-7x + 11|= 0
Solving x = 11/7, which is not an integer, Incorrect
E.
-|-7x + 11|= 2, not possible as there is negative outside modulus, the option has to be negative
IMO B
Study from the best self-learning GMAT Quant course on Udemy to master essential concepts and strategies! With comprehensive content, detailed explanations, and effective practice, this course is designed to help you improve your GMAT Quant score on your own time. Check it out here:
https://www.udemy.com/course/best-gmat- ... 37602183BB
