DAY 139
A pile of boards each 3/4 inch think is 8 feet high. How many boards ae in the pile?
Answer:
128 boards
DAY 140
A box of books weighs 50 pounds. Each book weighs 1 3/4 pounds and the box itself weighs 8 pounds. How many books are in the box?
Answer:
24 books
DAY 141
Which is greater? The number of seconds in a day or minutes in a 30-day month?
Answers:
Seconds in a day---by a factor of exactly 2..... 43,200 minutes in a 30-day month; 86,400 seconds in a day.
Wednesday, 30 September 2009
DAY 136
Using only addition, make five 1's equal 14.
Answer:
1 +1 + 1 +11 = 14
DAY 137
How many trees would have to be planted on a street 40 yards long if there was a tree every ten yards on both sides of street?
Answer:
10 trees.........5 on each side
DAY 138
The Miller's Toll by Henry E. Dudeney: A miller was accustomed to take as toll 1/10 of the flour that he ground for his customers. How much did he grind for a man who had just one bushel left after the toll had been taken?
Answer:
1 1/9 bushels..........X - 1/10X = 1
Using only addition, make five 1's equal 14.
Answer:
1 +1 + 1 +11 = 14
DAY 137
How many trees would have to be planted on a street 40 yards long if there was a tree every ten yards on both sides of street?
Answer:
10 trees.........5 on each side
DAY 138
The Miller's Toll by Henry E. Dudeney: A miller was accustomed to take as toll 1/10 of the flour that he ground for his customers. How much did he grind for a man who had just one bushel left after the toll had been taken?
Answer:
1 1/9 bushels..........X - 1/10X = 1
Tuesday, 29 September 2009
DAY 133
What is the next number in this series?
1...1...2...3...5...8...13...21... ___
Answer:
34........Add the previous two terms to get the next term (Fibonacci Series).
DAY 134
What number is missing in this series? Can you see two different patterns?
1...4...9...16... ___ ...36...49...64
Answer:
25........the perfect squares or adding the consecutive odd numbers
DAY 135
On a tray of muffins, if you divide the number of muffins by 3, there is one left over. If you divide by 4, there is also one left over. But if you divide by five, there are none left over. What is the smallest number of muffins that could be on the tray?
Answer:
What is the next number in this series?
1...1...2...3...5...8...13...21... ___
Answer:
34........Add the previous two terms to get the next term (Fibonacci Series).
DAY 134
What number is missing in this series? Can you see two different patterns?
1...4...9...16... ___ ...36...49...64
Answer:
25........the perfect squares or adding the consecutive odd numbers
DAY 135
On a tray of muffins, if you divide the number of muffins by 3, there is one left over. If you divide by 4, there is also one left over. But if you divide by five, there are none left over. What is the smallest number of muffins that could be on the tray?
Answer:
25............The answer must be a multiple of five.
DAY 130
Two shepherds owning a flock of sheep agree to divide its value equally. If one takes 20 sheep and the other 30, and the latter pays the former $150, what is the value per sheep?
Answer:
Two shepherds owning a flock of sheep agree to divide its value equally. If one takes 20 sheep and the other 30, and the latter pays the former $150, what is the value per sheep?
Answer:
$30..........The first 40 sheep can be disregarded because they are divided equally 20/20 between the two shepherds. It appears the second shepherd is paying $150 for the remaining 10 sheep, which of course would mean the value of each sheep is $15. But in fact the second shepherd is entitled to 5 of those sheep by the terms of the equal division of the flock. So he is paying $150 for 5 sheep. Another way to think of it is to divide the flock equally 25/25 between the two. The second shepherd is buying 5 sheep from the first for $150.
DAY 131
A printing press can print 6 pages every 1 1/2 minutes. How many 30-page reports can it produce in 2 hours?
Answer:
DAY 131
A printing press can print 6 pages every 1 1/2 minutes. How many 30-page reports can it produce in 2 hours?
Answer:
16
DAY 132
My birthday is in March. If the date were a fraction.........month/day............it would be equivalent to 159/477. When is my birthday?
Answer:
March 9.......since March is the third month, 3/X = 159/477
DAY 132
My birthday is in March. If the date were a fraction.........month/day............it would be equivalent to 159/477. When is my birthday?
Answer:
March 9.......since March is the third month, 3/X = 159/477
DAY 128
You have scored an average of 16 points in 5 games. The first four games you scored 22, 21, 15, and 10 points. How many points did you score in the fifth game?
Answer:
22...........To average 16 points in five games, you must have scored 90 points. You scored 68 points in the first four games, meaning you must have scored 22 points in the fifth game.
DAY 129
Two dogs eat a 1 1/2 lb. of dogfood every 2 days. At $2/lb. how much does the dogfood cost in a 30-day month?
Answer:
$45
You have scored an average of 16 points in 5 games. The first four games you scored 22, 21, 15, and 10 points. How many points did you score in the fifth game?
Answer:
22...........To average 16 points in five games, you must have scored 90 points. You scored 68 points in the first four games, meaning you must have scored 22 points in the fifth game.
DAY 129
Two dogs eat a 1 1/2 lb. of dogfood every 2 days. At $2/lb. how much does the dogfood cost in a 30-day month?
Answer:
$45
Monday, 28 September 2009
DAY 126
The denominator of a fraction is greater than its numerator by 6. If 8 were added to the denominator, the value of the fraction would then become 1/3. What is the fraction?
Answer:
7/13............X/X+6 +8.........X/X + 14 = 1/3
DAY 127
A farmer was asked how many animals he owned. He replied, "All but 20 are cows, all but 18 are horses, and all but 14 are sheep." How many animals did he own?
Answer:
26............(X-20) + (X-18) + (X-14) = X
The denominator of a fraction is greater than its numerator by 6. If 8 were added to the denominator, the value of the fraction would then become 1/3. What is the fraction?
Answer:
7/13............X/X+6 +8.........X/X + 14 = 1/3
DAY 127
A farmer was asked how many animals he owned. He replied, "All but 20 are cows, all but 18 are horses, and all but 14 are sheep." How many animals did he own?
Answer:
26............(X-20) + (X-18) + (X-14) = X
DAY 124
Two bicycle riders are 60 miles apart. They begin riding directly toward each other. At the same instant, a fly leaves the front tire of one of the bicycles, flies directly to the other bicycle's front wheel, instantly turns around and flies back to the first bicycle, and continues this until the bikes meet and the fly is unceremoniously squished. If the bicycles travel at 30 mph and the fly flies at 15 mph, how far will the fly have flown when it is squished?
Answer:
Answer:
15 miles.........The two bicycles are approaching each other at a combined speed of 60 mph. This means it will take them one hour to meet. The fly will fly 15 miles in that hour.
DAY 125
How can you cook an egg for exactly 15 minutes if all you have are two uncalibrated timers, one that runs for 7 minutes and one that runs for 11 minutes? (Think of the timers as sand hourglasses.)
Answer:
Start both timers at the same time. When the 7-minute timer runs out, start cooking the egg. When the 11-minute timer runs out, the egg will have been cooking for 4 minutes. Immediately turn over the 11-minute timer to give you 4 + 11 = 15 minutes.
Alternate solution:
Credit GAMES Magazine
November, 1983
Steve Odell
Start cooking the egg and turn over both timers at the same time. When the 7-minute timer runs out, turn it over to start timing again. When the 11-minute timer runs out, the 7-minute timer will have been running for four minutes. Turn the 7-minute timer over again. After another four minutes, the 7-minute timer will run out. 11 minutes + 4 minutes = 15 minutes.
(posted 2/17/16)
DAY 125
How can you cook an egg for exactly 15 minutes if all you have are two uncalibrated timers, one that runs for 7 minutes and one that runs for 11 minutes? (Think of the timers as sand hourglasses.)
Answer:
Start both timers at the same time. When the 7-minute timer runs out, start cooking the egg. When the 11-minute timer runs out, the egg will have been cooking for 4 minutes. Immediately turn over the 11-minute timer to give you 4 + 11 = 15 minutes.
Alternate solution:
Credit GAMES Magazine
November, 1983
Steve Odell
Start cooking the egg and turn over both timers at the same time. When the 7-minute timer runs out, turn it over to start timing again. When the 11-minute timer runs out, the 7-minute timer will have been running for four minutes. Turn the 7-minute timer over again. After another four minutes, the 7-minute timer will run out. 11 minutes + 4 minutes = 15 minutes.
(posted 2/17/16)
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