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For a class photo, a group of students forms a single line from left

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For a class photo, a group of students forms a single line from left  [#permalink]

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New post 30 Jun 2018, 23:51
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Question Stats:

59% (01:22) correct 41% (01:09) wrong based on 120 sessions

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For a class photo, a group of students forms a single line from left to right. If Robert, who is the 15th student from the left, is immediately to the right of Christine, who is the 13th student from the right, how many total students are in the line?

A. 26
B. 27
C. 28
D. 29
E. 30

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Re: For a class photo, a group of students forms a single line from left  [#permalink]

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New post 01 Jul 2018, 00:09
counting from left 13 (upto chritine ) + Christine + Robert + 11
total 26 IMO
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Re: For a class photo, a group of students forms a single line from left  [#permalink]

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New post 01 Jul 2018, 01:18
Bunuel wrote:
For a class photo, a group of students forms a single line from left to right. If Robert, who is the 15th student from the left, is immediately to the right of Christine, who is the 13th student from the right, how many total students are in the line?

A. 26
B. 27
C. 28
D. 29
E. 30


IMO 26

Robert = 15th Student, who is immediately to the right of Christine making her the 14th student.

Now Christine is 13th from the right making Robert 12th from the right.

This means that after Robert 11 more students are present.

Hence 15 + 11 = 26
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Re: For a class photo, a group of students forms a single line from left  [#permalink]

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New post 04 Jul 2018, 19:08
Bunuel wrote:
For a class photo, a group of students forms a single line from left to right. If Robert, who is the 15th student from the left, is immediately to the right of Christine, who is the 13th student from the right, how many total students are in the line?

A. 26
B. 27
C. 28
D. 29
E. 30


To get the correct approach, we assume we are facing the group of students in line. Therefore, the terms “left” and “right” are from our perspective.

Let’s first work from the left. Since Robert is the 15th student from the left and Christine is immediately to the left of Robert, there must be 13 students to the left of Christine (so that Christine is 14th and Robert is 15th in line from the left).

Now let’s work from the right. Since Christine is the 13th student from the right and Robert is immediately to the right of Christine, there must be 11 students to the right of Robert (so that Robert is the 12th and Christine is the 13th from the right). To recap, we have, from left to right:

13 students, Christine, Robert, 11 students

Therefore, there must be 13 + 1 + 1 + 11 = 26 students in the line for the class photo.

Answer: A
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Re: For a class photo, a group of students forms a single line from left &nbs [#permalink] 04 Jul 2018, 19:08
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