Dear All,
The time is coming ever-nearer when everyone will know the answer to the question “Who can we count on totally to fulfill every important promise?” No matter what obstacles anyone might seem to cause (either deliberately or unintentionally), we can rest assured that the Will of God always prevails exactly when God wills it, and the timing is always perfect, no matter whether we think it is or not! One key theme permeating the Book of Numbers within The Bible is God’s unwavering fulfillment of promises, and that still holds true, no less now than ever. A very positive, warm reminder of blessings is this: “The Lord bless you and keep you; the Lord make His face shine on you and be gracious to you; the Lord turn His face toward you and give you peace.”–Numbers 6:24-26. π

but the good message always remains essentially the same π
I do most sincerely wish everyone a really blessed Christmas, and I now offer a nice selection of fresh, home-made puzzles for free consumption and enjoyment!! ππ
A Merry Christmas Surprise! π
Start with the total number of letters in MERRY CHRISTMAS EVERYBODY. Multiply by the total number of letters in PROMISES. Also multiply by the total number of letters in FULFILLMENT. Did the final result bring a nice smile to your face!? π
Early Happy New Year Brainteaser! π
Suppose that ‘a’ and ‘b’ are whole numbers such that 1 < a < b < 2023.
What is the minimum-possible value of the fraction b/a such that 2023 * b/a equals some future year?
Puzzle Fans Brainteaser!! βοΈπ


Suppose that whole numbers 1, 2, …, N are about to be given out randomly to N people (one number each), so that each person’s number will be different. Two people will multiply their own numbers together. All the other people will multiply their own numbers together. The latter group is certain that their result will be the bigger product. To guarantee that, what is the minimum value of N?
Three Sneaky Word Puzzles πππ
Remove only the letter E from A HEART BRO and then rearrange the remaining 8 letters to make the name of a lovely coastal town which is the largest town in the county of Angus in the East of Scotland. (That will be a nice ‘n easy puzzle for Scott Fleming, a friend who lives there!! π)
Think of a beautiful musical instrument which has 5 letters when written in plural form with s on the right end. Move only the s to the start to make a different proper 5-letter English word.
ππΆ
Also, rearrange the letters of LYRICS END to make the proper name of a mathematical shape (in plural form, with s on the right end).
Deep-Thinking Brainteaser! ππ

cylindrical pipe of diameter d, partially filled with water
to a depth h = d/5 (at the deepest part throughout the pipe).
The pipe is only P% full (that is, P% of its maximum capacity).
The brainteaser challenge is to figure out the value of P, correct to 4 significant figures βοΈπ
Quick ‘n early New Year Bπnus
Suppose that Y is the value of 100*P, correct to 4 significant figures. In the New Year 2024, we’ll be able to say that it’s then X years since the start of the year Y. What is the value of X? (You don’t have to count the small change of ten days made to the Gregorian calendar in 1582 !!)
A Magical Family Brainteaser! ππ
Suppose that I know a lady whose birthday is on the same day and month as that of her daughter. The daughter’s age (in years) is now D, which is a whole cube number. The talented mathematical daughter said to her mum, “Your age now, multiplied by my future age after any number of years, would be exactly the same as my age now, multiplied by your age twice as far into the future!”
Based on the information above, what was the most probable age of the mother when her daughter was born? Justify your answer with a reason.
A Number Mystery Brainteaser! βοΈπ
In honour of Scottish friend Scott Fleming, I am thinking of a personal special three-digit whole number ABC. It’s exactly equal to E * EG, where EG represents not E*G but rather the unique two-digit whole number EG which has the same value as G2+E. Your fun brainteaser is to figure out exactly what number ABC is!
Extra Bπnus!
What is special about the value of E2+G2+H2+I2 where HI represents the first two digits of the number Y which featured in an earlier bπnus in this blog post?
Checkmate Time! ππ

LΓ©opold M., a very keen and gifted young Chess player whom I know, is one of many friends who’ll enjoy solving the following checkmate Chess puzzle π

forced checkmate in 10 moves that I played in the actual game π
It’s my intention to publish solutions to all the puzzles around the time that blog post #163 comes out, God-willing as always. (Before then, I will finally publish solutions to the puzzles of blog post #161 !)
Please do feel free to send me your best solutions to any or all of the puzzles, if you like π.
I would like to round off this article by most sincerely wishing you again a very blessed Christmas and New Year soon, with lots of happiness in everything that you do β€.
With kindest wishes as always,
Paul Mπtwani β€
“It is the Lord who directs your life, for each step you take is ordained by God to bring you closer to your destiny.”–Proverbs 20:24 π
My thanks to the Murphy Family for the lovely gift of cosy socks that they very kindly gave me yesterday. My steps will surely be all the warmer from now on!! π
