Puzzle 61
How many squares of any size on this chessboard do not contain a rook?
Puzzle Copyright © Kevin Stone
workings
hint
answer
print
Share link: https://www.brainbashers.com/puzzle/zdpx
Hint
There are no squares of size 5x5.
Answer
There are 125 squares without a rook.
Reasoning
There are 61 squares of size 1x1.
There are 39 squares of size 2x2.
There are 20 squares of size 3x3.
There are 5 squares of size 4x4.
Giving a total of 61 + 39 + 20 + 5 = 125 squares.
Puzzle 62
Moving from letter to letter using the moves of a chess knight, can you find the letters 'PUZZLES' in order?
| Z |
E |
Z |
S |
Z |
P |
S |
| U |
P |
S |
P |
L |
P |
Z |
| S |
U |
L |
U |
U |
E |
U |
| E |
E |
P |
U |
S |
U |
P |
| P |
Z |
L |
L |
U |
P |
Z |
| Z |
U |
Z |
S |
U |
L |
P |
| E |
P |
Z |
Z |
E |
L |
U |
The moves of a knight are:
Puzzle Copyright © Kevin Stone
workings
hint
answer
print
Share link: https://www.brainbashers.com/puzzle/zoya
Hint
It might be easier to find the S first.
Answer
Start with the P in the 5th row, 6th column:
| Z |
E |
Z |
S |
Z |
P |
S |
| U |
P |
S |
P |
L |
P |
Z |
| S |
U |
L |
U |
U |
E |
U |
| E |
E |
P |
U |
S |
U |
P |
| P |
Z |
L |
L |
U |
P |
Z |
| Z |
U |
Z |
S |
U |
L |
P |
| E |
P |
Z |
Z |
E |
L |
U |
Puzzle 63
What word comes next:
jangled
febrifuge
marbles
apricot
mayflower
jungle
julienne
Choose from:
augment, elephant, autumn, juiciest
Puzzle Copyright © Kevin Stone
workings
hint
answer
print
Share link: https://www.brainbashers.com/puzzle/ztjk
Hint
Look at the first few characters of each word.
Answer
augment.
The first three letters are the same as the first three letters of the months in order.
Puzzle 64
What four-digit number has…
…Digit 2 smaller than Digit 4 which is two thirds of Digit 1 which is two thirds of Digit 3 which is three times Digit 2?
Puzzle Copyright © Kevin Stone
workings
hint
answer
print
Share link: https://www.brainbashers.com/puzzle/zvlz
Hint
Look at Digit 3 first.
Answer
6394.
Reasoning
Labelling the clues:
Digit 2 is smaller than Digit 4
Digit 4 is two thirds of Digit 1
Digit 1 is two thirds of Digit 3
Digit 3 is three times Digit 2
By (3), Digit 3 is divisible by 3:
Digit 3 = 3, 6, 9
By (3), Digit 1 is two thirds of Digit 3:
Digit 1 = 2, 4, 6.
But, by (2), Digit 1 is divisible by 3:
Digit 1 = 6, and Digit 3 = 9.
By (4), Digit 3 is three times Digit 2:
Digit 2 = 3.
By (2), Digit 4 is two thirds of Digit 1:
Digit 4 = 4.
< previous next >
Note: BrainBashers has a Dark Mode option. For BrainBashers, I'd recommend not using your browser's built-in dark mode, or any dark mode extensions (sometimes you can add an exception for a specific website).
