The weights of four packages are 1, 3, 5, and 7 pounds, respectively. Which of the following CANNOT be the total weight, in pounds, of any combination of the packages?
a) 9
b) 10
c) 12
d) 13
e) 14
OA E
Source: Official Guide
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The weights of four packages are 1, 3, 5, and 7 pounds, resp
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BTGmoderatorDC
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E
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Brent@GMATPrepNow
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For each answer choice, if we CAN create the total given weight, then we can ELIMINATE that answer choice.BTGmoderatorDC wrote:The weights of four packages are 1, 3, 5, and 7 pounds, respectively. Which of the following CANNOT be the total weight, in pounds, of any combination of the packages?
a) 9
b) 10
c) 12
d) 13
e) 14
a) 9 = 1 + 3 + 5 ELIMINATE
b) 10 = 3 + 7 ELIMINATE
c) 12 = 5 + 7 ELIMINATE
d) 13 = 1 + 5 + 7 ELIMINATE
By the process of elimination, the correct answer is E
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Brent
Brent Hanneson - Creator of GMATPrepNow.com
The total weight of the four packages = 1 + 3 + 5 + 7 = 16 pounds. To get 14 pounds, we should remove a package of 2 pounds or two packages of 1 pound each. Neither is possible, thus the correct answer is 14 pounds, option E.
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Brent@GMATPrepNow
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That's MUCH better than my solution!!swerve wrote:The total weight of the four packages = 1 + 3 + 5 + 7 = 16 pounds. To get 14 pounds, we should remove a package of 2 pounds or two packages of 1 pound each. Neither is possible, thus the correct answer is 14 pounds, option E.
Cheers,
Brent<i class="em em---1"></i>
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Scott@TargetTestPrep
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BTGmoderatorDC wrote:The weights of four packages are 1, 3, 5, and 7 pounds, respectively. Which of the following CANNOT be the total weight, in pounds, of any combination of the packages?
a) 9
b) 10
c) 12
d) 13
e) 14
OA E
Source: Official Guide
Let's examine each answer choice:
A) 9
1 + 3 + 5 = 9
B) 10
3 + 7 = 10
C) 12
5 + 7 = 12
D) 13
1 + 5 + 7 = 13
Since we eliminated every other choice, we know at this point that the answer is E. However, let's evaluate answer choice E for practice:
E) 14
We can see that 1 + 5 + 7 = 13 and 3 + 5 + 7 = 15, so it can't be 14.
Answer: E
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