At a graduation, guests sit in rows such that there are p people in th

Question

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

Kinshook · Answer

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

EgmatQuantExpert · Answer

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

https://e-gmat.com/blogs/wp-content/uploads/2018/08/Ability-Quiz-WP-e1533292133520.png

ScottTargetTestPrep · Answer

Note the pattern: In row 3, there are p + 2; in row 12, there would be p + 11, we add one less than the row number to p to determine how many people sit in that row. So in row n there will be p + (n - 1) people.

The number of people who sit in row n is p + n - 1, and the number of people who sit in the second row is p + 1; therefore, the difference is:

p + n - 1 - (p + 1) = p + n - 1 - p - 1 = n - 2

Answer: E

At a graduation, guests sit in rows such that there are p people in th

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At a graduation, guests sit in rows such that there are p people in th

Prep Toolkit

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