### Author Topic: Test 8 solutions  (Read 4349 times)

#### yongcheng3315

• USAMO Winner
• Posts: 2585
##### Test 8 solutions
« on: January 28, 2014, 07:36:27 PM »
Test 8 solutions
« Last Edit: January 28, 2014, 07:37:32 PM by yongcheng3315 »

#### ss5188

• 2012 AMC Summer Group
• Mathcounts Chapter Champion
• Posts: 16
##### Re: Test 8 solutions
« Reply #1 on: February 05, 2014, 09:07:12 PM »
There is a typo for #27. The correct answer should be 3, not 1.

#### yongcheng3315

• USAMO Winner
• Posts: 2585
##### Re: Test 8 solutions
« Reply #2 on: February 05, 2014, 09:28:11 PM »
There is a typo for #27. The correct answer should be 3, not 1.
Is this better?  Thanks.

There are 4 balls labeled 1, 2, 3, and 4, respectively, in a box. Randomly take out two balls and the positive difference of the numbers on these two balls is x. What is the most possible value of x?

#### ss5188

• 2012 AMC Summer Group
• Mathcounts Chapter Champion
• Posts: 16
##### Re: Test 8 solutions
« Reply #3 on: February 05, 2014, 10:34:39 PM »
I see what the question means now. The following will read even better:
"What is the most popular value of x?" Or
"What is the mode of all values of x?"