Puzzle 13
At the local play group for babies and toddlers, I was asking about the number of teddies each of child had.
The four children are aged 1, 2, 3 and 4.
Remarkably, the children have one, two, three and four teddies, although not necessarily respectively.
Dale has more teddies that their age. Jesse is older than Morgan. Curiously only one child has the same number of teddies as their age. Pat has fewer teddies than Jesse and the child aged 3 has two teddies. Pat is the youngest.
Can you determine who has which teddies?
Puzzle Copyright © Kevin Stone
workings
hint
answer
print
Share link: https://www.brainbashers.com/puzzle/zeka
Hint
Jesse is the oldest.
Answer
Morgan is 3 and has two teddies.
Pat is 1 and has one teddies.
Jesse is 4 and has three teddies.
Dale is 2 and has four teddies.
Puzzle 14
What is the next number in the sequence:
32 35 40 44 52 112 {?}
Puzzle Copyright © Kevin Stone
workings
hint
answer
print
Share link: https://www.brainbashers.com/puzzle/zglu
Hint
This is a tricky question related to number bases.
Answer
200.
Each number in the sequence is a representation of the number 32 in different bases, starting with base 10.
Base 10: 32 = 3 x 10^1 + 2 x 10^0 = 3 x 10 + 2 = 32
Base 9 : 35 = 3 x 9^1 + 5 x 9^0 = 3 x 9 + 5 = 32
Base 8 : 40 = 4 x 8^1 + 0 x 8^0 = 4 x 8 + 0 = 32
Base 7 : 44 = 4 x 7^1 + 4 x 7^0 = 4 x 7 + 4 = 32
Base 6 : 52 = 5 x 6^1 + 2 x 6^0 = 5 x 6 + 2 = 32
Base 5 : 112 = 1 x 5^2 + 1 x 5^1 + 2 x 5^0 = 1 x 25 + 1 x 5 + 2 = 32
Base 4 : 200 = 2 x 4^2 + 0 x 4^1 + 0 x 4^0 = 2 x 16 + 0 + 0 = 32
Puzzle 15
Place the digits 1 to 8, into the grid. The numbers you can see are the totals for the surrounding numbers.
Puzzle Copyright © Kevin Stone
workings
hint
answer
print
Share link: https://www.brainbashers.com/puzzle/ziln
Hint
There is only one way to make the middle 25.
Answer
Puzzle 16
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/zukb
Hint
There are no larger squares than size 4x4.
Answer
There are 110 squares without a rook.
Reasoning
There are 60 squares of size 1x1.
There are 35 squares of size 2x2.
There are 12 squares of size 3x3.
There are 3 squares of size 4x4.
Giving a total of 60 + 35 + 12 + 3 = 110 squares.
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).
