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22 Jul 2019, 01:29
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
63% (01:16) correct
37%
(01:12)
wrong
based on 65
sessions
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At a graduation, guests sit in rows such that there are p people in the first row, p + 1 people sit in the second row, p + 2 people sit in the third row, and so on. How many more people sit in row n than in the second row?
(A) n + 2
(B) n + 1
(C) n
(D) n – 1
(E) n – 2
(A) n + 2
(B) n + 1
(C) n
(D) n – 1
(E) n – 2
22 Jul 2019, 01:37
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Bunuel
At a graduation, guests sit in rows such that there are p people in the first row, p + 1 people sit in the second row, p + 2 people sit in the third row, and so on. How many more people sit in row n than in the second row?
(A) n + 2
(B) n + 1
(C) n
(D) n – 1
(E) n – 2
(A) n + 2
(B) n + 1
(C) n
(D) n – 1
(E) n – 2
Given: At a graduation, guests sit in rows such that there are p people in the first row, p + 1 people sit in the second row, p + 2 people sit in the third row, and so on.
Asked: How many more people sit in row n than in the second row?
# of guests in first row = p
# of guests in \(2^n^d\) row = p+1
# of guests in \(3^r^d\) row = p+2
# of guests in \(n^t^h\) row = p+n-1
How many more people sit in row n than in the second row = p+n-1 - (p+1) = n-2
IMO E
23 Jul 2019, 04:50
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Solution
Given:
- • Guests sit in rows such that there are
- o p people in the first row
o p + 1 people sit in the second row
o p + 2 people sit in the third row and so on
To find:
- • How many more people sit in row ‘n’ than in the second row
Approach and Working Out:
- • Number of people who sit in row ‘n’ = p + n – 1
Therefore, (p + n – 1) – (p + 1) = (n – 2) more people sit in row ‘n’ than in the second row
Hence, the correct answer is Option E
Answer: E
