+0

# In the continuation of this array of positive integers, in which column is the number 12 000?

0
438
2

In the continuation of this array of positive integers, in which column is the number 12 000?

 1 2 9 10 25 26 4 3 8 11 24 27 5 6 7 12 23 28 16 15 14 13 22 29 17 18 19 20 21 30 36 35 34 33 32 31

Options:

1. 99

2. 100

3. 101

4. 102

5. 103

Thanks in advance for the help!

Dec 8, 2018
edited by Guest  Dec 8, 2018

#1
+111328
+1

Here's my best attempt

It appears that all even squares - except 1 -  will terminate in the 1st column

The next perfect square after 12000 is 12100

The square root of 12100 is 110

So....we will have a square that will have 110 integers on each side

12100 will be in the 1st column.....

12109 will be in the second column = 12100 - 12109 + 1 = 2

12108 will be in the 3rd column = 12100 - 12108 + 1 = 3

So.....to find the column containing 12000 we can evaluate this

12100 - 12000 + 1  =

100 + 1  =

101

Dec 9, 2018
#2
0

Thanks!

Guest Dec 9, 2018