Brain Teasers

[Expiry]

Some knuckle-head removed the signs so you don't know which pile has the atomic bombs.

What an idiot! He should be sacked for that. Some people just don't care about safety.

 

[lenze]

Is the grandson the son of the son?

That's irrelevant
lenze
Edit: On second thought, maybe not
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[schielrn]

I would say the answer based on Crimson_Blade's table is row 9. As this seems to be in conjuction with the 3 kids question earlier. Unless of course there are adopted children or son's from other marriages? I just assumed they had to be related by blood.

 

[lenze]

schielm:http://www.mrexcel.com/forum/member.php?u=76414
I won't comment on the correctiveness(is that a word?)of your answer, but PM me how you arrived at that conclusion
lenze

 

[Sandeep Warrier]

Looks like my last question was missed out.... So here it is once more.... (Along with a new one.....)


Question 1:

In a 10X10 grid, arrange 10 Queens such that all Queens are safe.

Excel Workbook
	A	B	C	D	E	F	G	H	I	J
1	Q1	Q2	Q3	Q4	Q5	Q6	Q7	Q8	Q9	Q10
2
3
4
5
6
7
8
9
10
Sheet1

Excel 2003

Question 2:

A 4X4 grid is filled with 16 items. Remove 6 items so that no row or column has an odd number of items in them.

Excel Workbook
	A	B	C	D
13	j	j	j	j
14	j	j	j	j
15	j	j	j	j
16	j	j	j	j
Sheet1

Excel 2003

 

[Gerald Higgins]

Sandeep - for Question 1, can you define "safe" ?
Do you mean so that no Queen is under attack from any other ?

For question 2, are we allowed to move them as well, or only to REmove them ?

 

[crimson_b1ade]

I would say Q2 is impossible.

Looks like my last question was missed out.... So here it is once more.... (Along with a new one.....)

#VALUE!

#VALUE!

Excel 2003

 

[Oaktree]

It's possible, and there are multiple solutions. It's possible to also have the main diagonals and the four corners to have even numbers of items at the same time.

 

[Scott Huish]

Here's my solution to Q2:

Excel Workbook
	A	B	C	D
13		j	j
14	j	j	j	j
15	j	j	j	j
16		j	j	j
Sheet1

The question says to remove 6 items. A j is composed of 2 items.

 

[schielrn]

Spoiler Alert! You have to highlight the table to see the answer if you want.

Here is my solution to Q2:

<TABLE style="WIDTH: 192pt; BORDER-COLLAPSE: collapse" cellSpacing=0 cellPadding=0 width=256 border=0><COLGROUP><COL style="WIDTH: 48pt" span=4 width=64><TBODY><TR style="HEIGHT: 15pt" height=20><TD class=xl63 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 48pt; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" align=right width=64 height=20>1</TD><TD class=xl63 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext; WIDTH: 48pt; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" align=right width=64>1</TD><TD class=xl63 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext; WIDTH: 48pt; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" width=64></TD><TD class=xl63 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext; WIDTH: 48pt; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" width=64></TD></TR><TR style="HEIGHT: 15pt" height=20><TD class=xl63 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20></TD><TD class=xl63 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" align=right>1</TD><TD class=xl63 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent"></TD><TD class=xl63 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" align=right>1</TD></TR><TR style="HEIGHT: 15pt" height=20><TD class=xl63 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20></TD><TD class=xl63 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" align=right>1</TD><TD class=xl63 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" align=right>1</TD><TD class=xl63 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent"></TD></TR><TR style="HEIGHT: 15pt" height=20><TD class=xl63 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" align=right height=20>1</TD><TD class=xl63 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" align=right>1</TD><TD class=xl63 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" align=right>1</TD><TD class=xl63 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" align=right>1</TD></TR></TBODY></TABLE>



Here is a way with the corners and diagonals as Oaktree stated:

<TABLE style="WIDTH: 192pt; BORDER-COLLAPSE: collapse" cellSpacing=0 cellPadding=0 width=256 border=0><COLGROUP><COL style="WIDTH: 48pt" span=4 width=64><TBODY><TR style="HEIGHT: 15pt" height=20><TD class=xl65 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 48pt; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" align=right width=64 height=20>1</TD><TD class=xl65 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext; WIDTH: 48pt; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" align=right width=64>1</TD><TD class=xl65 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext; WIDTH: 48pt; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" width=64></TD><TD class=xl65 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext; WIDTH: 48pt; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" width=64></TD></TR><TR style="HEIGHT: 15pt" height=20><TD class=xl65 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20></TD><TD class=xl65 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" align=right>1</TD><TD class=xl65 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" align=right>1</TD><TD class=xl65 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent"></TD></TR><TR style="HEIGHT: 15pt" height=20><TD class=xl65 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" align=right height=20>1</TD><TD class=xl65 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" align=right>1</TD><TD class=xl65 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" align=right>1</TD><TD class=xl65 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" align=right>1</TD></TR><TR style="HEIGHT: 15pt" height=20><TD class=xl65 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 15pt; BACKGROUND-COLOR: transparent" height=20></TD><TD class=xl65 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" align=right>1</TD><TD class=xl65 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent"></TD><TD class=xl65 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" align=right>1</TD></TR></TBODY></TABLE>