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13 Mar 2022, 18:49
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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:
65%
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Question Stats:
50% (01:20) correct
50%
(01:33)
wrong
based on 4
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Five identical pieces of wire are soldered together end-to-end to form one longer wire, with the pieces overlapping by 4 cm at each joint. If the wire thus made is exactly 1 meter long, how long, in centimeters, is each of the identical pieces? (1 meter = 100 cm)
(A) 21.2 (B) 22 (C) 23.2 (D) 24 (E) 25.4
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(A) 21.2 (B) 22 (C) 23.2 (D) 24 (E) 25.4
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13 Mar 2022, 20:14
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The credited answer is indeed correct.
5 identical pieces of wire attached end to end form one long wire whose length is 1 meter = 100 cm.
So, we have the following.
__________ __________ __________ __________ __________
At each joint, the wires overlap by 4 cm.
Since there are 4 joints, the overlaps use up 4 x 4 cm = 16 cm.
So, the total length of the short wires combined is 100 cm + 16 cm = 116 cm.
116/5 = 23.2.
The correct answer is (C).
Many people who miss this question choose (D), thinking that, since there are 5 short wires, there are 5 overlaps, and that therefore the total length of the short wires is (5 x 4 cm) + 100 cm = 120 cm. However, as we saw above, there are only four joints.
So, like many GMAT questions, this question goes beyond testing our math skills to testing whether we understand something nonobvious about the scenario.
5 identical pieces of wire attached end to end form one long wire whose length is 1 meter = 100 cm.
So, we have the following.
__________ __________ __________ __________ __________
At each joint, the wires overlap by 4 cm.
Since there are 4 joints, the overlaps use up 4 x 4 cm = 16 cm.
So, the total length of the short wires combined is 100 cm + 16 cm = 116 cm.
116/5 = 23.2.
The correct answer is (C).
Many people who miss this question choose (D), thinking that, since there are 5 short wires, there are 5 overlaps, and that therefore the total length of the short wires is (5 x 4 cm) + 100 cm = 120 cm. However, as we saw above, there are only four joints.
So, like many GMAT questions, this question goes beyond testing our math skills to testing whether we understand something nonobvious about the scenario.
13 Mar 2022, 20:18
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Assume that each piece of string is the same length L (cm).
--> The number of overlapping 4 cm segments is 5 -1 = 4 segments.
--> 5.L = 100 + 4.4
--> L = 23.2
My answer is C.
--> The number of overlapping 4 cm segments is 5 -1 = 4 segments.
--> 5.L = 100 + 4.4
--> L = 23.2
My answer is C.
