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## Results

### #1. How can you take 2 from 5 and leave 4?

How can you take 2 from 5 and leave 4?** F I V E Remove the 2 letters F and E from five and you have IV which is the Roman numeral for four.**

### #2. I am four times as old as my daughter. In 20 years time I shall be twice as old as her. How old are we now?

I am four times as old as my daughter. In 20 years time I shall be twice as old as her. How old are we now? **I am 40 and my daughter is 10.**

### #3. A man went into a bank to cash a check. In handing over the money the cashier, by mistake, gave him dollars for cents and cents for dollars. He pocketed the money without examining it, and spent a nickel on his way home. He then found that he possessed exactly twice the amount of the check. He had no money in his pocket before going to the bank. What was the exact amount of that check? ? 31.63

CONCERNING A CHECK

The amount must have been $31.63. He received $63.31. After he had spent a nickel there would remain the sum of $63.26, which is twice the amount of the check.

### #4. A man went into a bank with a thousand dollars, all in dollar bills, and ten bags. He said, "Place this money, please, in the bags in such a way that if I call and ask for a certain number of dollars you can hand me over one or more bags, giving me the exact amount called for without opening any of the bags." How was it to be done? We are, of course, only concerned with a single application, but he may ask for any exact number of dollars from one to one thousand.

The contents of the ten bags (in dollar bills) should be as follows:

$1, 2, 4, 8, 16,32,64, 128,256, 489. The first nine numbers are in geometrical progression, and their sum, deducted from 1,000, gives the contents of the tenth bag.

### #5. Seven men engaged in play. Whenever a player won a game he doubled the money of each of the other players. That is, he gave each player just as much money as each had in his pocket. They played seven games and, strange to say, each won a game in turn in the order of their names, which began with the letters A, B, C, D, E, F, and G. When they had finished it was found that each man had exactly $1.28 in his pocket. How much had each man in his pocket before play? ? The answer may be found by laboriously working backwards, but a simpler method is as follows: 7 + 1 = 8; 2 X 7 + 1 = 15; 4 X 7 + 1 = 29; and so on, where the multiplier increases in powers of 2, that is, 2, 4, 8, 16, 32, and 64.

The seven men, A, B, C, D, E, F, and G, had respectively in their pockets before play the following sums: A- $4.49, B- $2.25, C- $1.13, D- 57¢, E- 29¢, F- 15¢, and G- 8¢. The answer may be found by laboriously working backwards, but a simpler

method is as follows: 7 1 = 8; 2 X 7 1 = 15; 4 X 7 1 = 29; and so on, where the multiplier increases in powers of 2, that is, 2, 4, 8, 16, 32, and 64.

### #6. A generous man set aside a certain sum of money for equal distribution weekly to the needy of his acquaintance. One day he remarked, "If there are five fewer applicants next week, you will each receive two dollars more." Unfortunately, instead of there being fewer there were actually four more persons applying for the gift. "This means," he pointed out, "that you will each receive one dollar less." How much did each person receive at that last distribution? ? 120

At first there were twenty persons, and each received $6.00. Then fifteen persons (five fewer) would have received $8.00 each. But twenty-four (four more) appeared and only received $5.00 each. The amount distributed weekly was thus **$120.00.**

### #7. When John was six years old he hammered a nail into his favorite tree to mark his height. Ten years later at age sixteen, John returned to see how much higher the nail was. If the tree grew by five centimeters each year, how much higher would the nail be?

When John was six years old he hammered a nail into his favorite tree to mark his height. Ten years later at age sixteen, John returned to see how much higher the nail was. If the tree grew by five centimeters each year, how much higher would the nail be? **The nail would be at the same height since trees grow at their tops.**

### #8. There is a clothing store in Bartlesville. The owner has devised his own method of pricing items. A vest costs $20, socks cost $25, a tie costs $15 and a blouse costs $30. Using the method, how much would a pair of underwear cost?

There is a clothing store in Bartlesville. The owner has devised his own method of pricing items. A vest costs $20, socks cost $25, a tie costs $15 and a blouse costs $30. Using the method, how much would a pair of underwear cost? **$45. The pricing method consists of charging $5 for each letter required to spell the item.**

### #9. A man persuaded Weary Willie, with some difficulty, to try to work on a job for thirty days at eight dollars a day, on the condition that he would forfeit ten dollars a day for every day that he idled. At the end of the month neither owed the other anything, which entirely convinced Willie of the folly of labor. Can you tell just how many days' work he put in and on how many days he idled? ? 16 2/3 days and idled 13 1/3days

Weary Willie must have worked **16 2/3 days and idled 13 1/3days**. Thus the former time, at $8.00 a day, amounts to exactly the same as the latter at $10.00 a day.

### #10. Lily is a lilypad in a small pond. Lilly doubles her size each day, On the 20th day she covers the whole pond. On what day was Lily half the size of the pond?

Lily is a lily pad in a small pond. Lilly doubles her size each day, On the 20th day she covers the whole pond. On what day was Lily half the size of the pond?** Day 19, it’s not 10 because on day 20 she doubled from day 19, so 19 must be half the size of the pond.**

### #11. What did the triangle say to the circle?

What did the triangle say to the circle? **You’re pointless.**

### #12. How many sides does a circle have?

How many sides does a circle have?** Two. The inside and the outside**.

### #13. What did one math book say to the other math book?

What did one math book say to the other math book? **What did one math book say to the other math book?**

### #14. How can you write down eight eights so that they add up to one thousand?

How can you write down eight eights so that they add up to one thousand? **888 88 8 8 8 = 1000.**

### #15. How many times can you subtract the number 5 from 25?

How many times can you subtract the number 5 from 25? **How many times can you subtract the number 5 from 25?**

### #16. A man entered a store and spent one-half ofthe money that was in his pocket. When he came out he found that he had just as many cents as he had dollars when he went in and half as many dollars as he had cents when he went in. How much money did he have on him when he entered? ? $99.98

DOLLARS AND CENTS

The man must have entered the store with $99.98 in his pocket.

### #17. What is the largest sum of money-all in current coins and no silver dollars-that I could have in my pocket without being able to give change for a dollar, half dollar, quarter, dime, or nickel? ? 1.19

The largest sum is **$1.19**, composed ofa half dollar, quarter, four dimes, and

four pennies.

### #18. One is to three as three is to five and five is to four and four is the magic number. What is the pattern?

One is to three as three is to five and five is to four and four is the magic number. **What is the pattern? One has three letters in the word three has five letters in it five has four letters and four has four letters in it (if you try more numbers they will always come back to the number four: so four is the magic number)**

### #19. Buns were being sold at three prices: one for a penny, two for a penny, and three for a penny. Some children (there were as many boys as girls) were given seven pennies to spend on these buns, each child to receive exactly the same value in buns. Assuming that all buns remained whole, how many buns, and of what types, did each child receive? ? 7

There must have been three boys and three girls, each of whom received two buns at three for a penny and one bun at two for a penny, the cost of which would be exactly **7.**

### #20. How do you make the number 7 even without addition, subtraction, multiplication, or division?

How do you make the number 7 even without addition, subtraction, multiplication, or division? **Drop the “S”**