Bunuel wrote:

At a bowling alley, Neil can win a free pair of bowling shoes if he averages a score of at least 200 over 8 games. If his scores in his first seven games were 192, 188, 195, 197, 205, 208, and 203, what is the minimum score he needs in his last game to win the shoes?

A. 199

B. 201

C. 205

D. 212

E. 220

We can use logic

Rearrange numbers as follows

188 192 195 197 203 205 208 x

First glance: numbers that above 200 is less that numbers that below 200, therefore we need a number more than 200 to balance and also 201 does not help to balance.

Eliminate choices A & B

Second glance: insert 200 as imaginary number

188 192 195 197

(200) 203 205 208 x

Measure the distance between each number to see the balance

We will find that the distance between 197 & 200 is same 203 & 200 = 3 units

We will find that the distance between 195 & 200 is same 203 & 205 = 5 units

We will find that the distance between 192 & 200 is same 203 & 208 = 8 units

Therefore to balance the last distance the number should be 12 units from 200, the same distance between 200 & 188.......So minimum score is 212

Answer: D