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14 Jan 2024, 10:53
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A
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Difficulty:
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Question Stats:
56% (01:58) correct
44%
(02:02)
wrong
based on 844
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Jim and Beth are in a ticket line along with 43 other people, and Jim is ahead of Beth in the line. If there are 20 people behind Jim and 30 people ahead of Beth, how many people in the line are between Beth and Jim?
A. 5
B. 7
C. 10
D. 13
E. 15
Jim.png [ 35.52 KiB | Viewed 9379 times ]
A. 5
B. 7
C. 10
D. 13
E. 15
Attachment:
Jim.png [ 35.52 KiB | Viewed 9379 times ]
14 Jan 2024, 11:16
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AnkurGMAT20
Jim and Beth are in a ticket line along with 43 other people, and Jim is ahead of Beth in the line. If there are 20 people behind Jim and 30 people ahead of Beth, how many people in the line are between Beth and Jim?
a) 5
b) 7
c) 10
d) 13
e) 15
a) 5
b) 7
c) 10
d) 13
e) 15
Jim and Beth are in a ticket line along with 43 other people
Inference: 45 people are standing in the ticket line
...If there are 20 people behind Jim and 30 people ahead of Beth...
Assume that there are \(x\) people ahead of Jim, \(y\) people between Jim and Beth, and \(z\) people behind Beth as shown below -
Attachment:
Screenshot 2024-01-14 234127.png [ 21.69 KiB | Viewed 12750 times ]
\(x + y + z = 45\) -- (1)
As there are 20 people behind Jim,
\(y + z = 20\) -- (2)
As there are 30 people ahead Beth,
\(y + x = 30\) -- (3)
(2) + (3)
\(x + y + z + y = 50\)
From (1)
\(45 + y = 50\)
\(y = 5\)
Hence, there are 5 people between Jim and Beth.
Option A
24 Jan 2024, 19:35
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Jim and Beth are in a ticket line along with 43 other people, and Jim is ahead of Beth in the line. If there are 20 people behind Jim and 30 people ahead of Beth, how many people in the line are between Beth and Jim?
First, let's get a more complete picture of the scenario by determining how many people are in the line.
Jim and Beth are in a ticket line along with 43 other people
Jim + Beth + 43 = 45 people in the line
Now, let's use the facts we have to determine how many people are between Beth and Jim.
Jim is ahead of Beth in the line
there are 20 people behind Jim
So, there must be 45 - (Jim + 20) = 24 people ahead of Jim in the line.
there are ... 30 people ahead of Beth
We already have Jim + 24 = 25 ahead of Beth.
For there to be a total of 30 ahead of Beth. there must be 30 - 25 = 5 more people between Jim and Beth.
Now, we just have to make sure we chose the correct answer because we could still fall for a trap by including Jim and Beth in our total and choosing 7.
The question asks how many people in the line are between Beth and Jim. So, the correct number is 5.
a) 5
b) 7
c) 10
d) 13
e) 15
Correct answer: (A)
First, let's get a more complete picture of the scenario by determining how many people are in the line.
Jim and Beth are in a ticket line along with 43 other people
Jim + Beth + 43 = 45 people in the line
Now, let's use the facts we have to determine how many people are between Beth and Jim.
Jim is ahead of Beth in the line
there are 20 people behind Jim
So, there must be 45 - (Jim + 20) = 24 people ahead of Jim in the line.
there are ... 30 people ahead of Beth
We already have Jim + 24 = 25 ahead of Beth.
For there to be a total of 30 ahead of Beth. there must be 30 - 25 = 5 more people between Jim and Beth.
Now, we just have to make sure we chose the correct answer because we could still fall for a trap by including Jim and Beth in our total and choosing 7.
The question asks how many people in the line are between Beth and Jim. So, the correct number is 5.
a) 5
b) 7
c) 10
d) 13
e) 15
Correct answer: (A)
