Lucrezia Borgia invited a prospective victim to lunch. They ate a hearty meal of roast venison, with a selection of fresh vegetables, all washed down with the finest wine imported from Bordeaux, France.
After the meal, they ate figs and freshly picked grapes.
“Just one apple left”, said Lucrezia, “I insist you have it.
“No”, said the guest, “I couldn’t”.
“Tell you what”, said Lucrezia, “we’ll share it”, and promptly sliced the apple in two with her sharpest knife. The guest and Lucrezia started to eat their respective halves when the guest’s eyes rolled towards the ceiling and he fell over, dead.
“Another victim successfully dispatched,” thought Lucrezia.
A similar problem can be found in L.A. Graham’s Ingenious Mathematical Problems and Methods with a range of 1 to 9, but the principle remains the same – the numbers with the smallest difference produce the largest product. You start out with the highest two digits, 7 and 6, then attach 5 and 4, putting the smaller of the two digits with the larger number, giving you 74 and 65. The next two highest digits are 3 and 2, giving you 742 and 653. Finally, you add the 1 to the lower number. Page 80 has the details of that solution.
Shawn and Kyle are bunk mates in prison and are desperate to escape. There is an unbarred window high above them, but the walls are smooth and it’s too high for them to reach even when standing on each other’s shoulders. Their cell has no furnishings other than a toilet and even when standing on the toilet and each other’s shoulders, they can’t reach the window.
They’ve tried digging through the dirt floor but the wall extends 50 feet below. How could escape through the window?
They could dig down with their hands, but it would take too long to dig 50 feet down. Instead, they could pile the dirt they dig up to give them enough height to reach the window. If they put the toilet seat down, they could pile the dirt on top, then get on each other’s shoulders to reach the window. That would mean only one of them would be able to get out. The remaining prisoner could either continue piling dirt to account for the missing guy or the escaped prisoner could come back with a rope to help his mate escape.
What is the highest product that can be generated by multiplying two numbers while only using each digit once (1 through 9)? For example, 12345678 * 9 = 111,111,102
Jeremy was making $10 an hour at his summer job, but he hated the work. He decided to take a 50% pay cut to work at an easier job. He liked his new job at first, then grew bored and found another job paying 50% more than he was currently making. What was his hourly pay at the third job?
The thunder comes before the lightning, And the lightning comes before the cloud, The rain dries all the land it touches, Wrapping the earth in a blood red shroud.
My family sings Christmas carols at the hospital where my wife works. We do this every year and since we started, have not missed a single year. The next time we do this will be the 18th consecutive Christmas. My 15 year old daughter has been every time.
She was born in March 1999 so the first year she came was December 1999 (before her 1st birthday). Her first time was when she was 0, second time when she was 1, third time when she was 2, etc…
Now that she is 15, she has been 16 times. Oh and of course she was also present in December 1998 in her mum’s belly, due to be born the next March.
So, a total of 17 times and next time will be the 18th.
Thanks to Michael for submitting this real-life brain teaser about his family.
A nine-letter word with but one vowel, After I’m used you may need a towel, Tests can be used to learn what I am, Once I am known you can hit a grand slam.
Strengths. It has 9 letters with only one vowel, when you use your strengths the exertion can cause you to sweat, requiring a towel, tests can identify ones strengths and once you know what they are, you can hit a metaphorical grand slam by employing them in an area of your choosing.
