The worlds first riddle!

NUMBER
Zero

TREES
Three men

PIGS
None - pigs can't talk.

TWO, ELEVEN
On a clock.

WHIM'S ROMAN NUMERAL PUZZLES
V = XI / VIII
add a horizontal segment to the first I to get
V = XL / VIII (5=40/8)

Although the Roman system did not comprehend negative numbers, this works for the second one:
III = IX - XII
add a horizontal segment in front of the first I to get
-III = IX - XII (-3=9-12)

Number:
MarkR is correct with zero, but any negative number will fit the criterion as well.

V = XI / VIII
add a horizontal segment to the first I to get
V = XL / VIII (5=40/8)



Although the Roman system did not comprehend negative numbers, this works for the second one:
III = IX - XII
add a horizontal segment in front of the first I to get
-III = IX - XII (-3=9-12)

Add or remove one straight line to make the equation true, the not-equal-sign is not allowed.


345742 = 345742
1872-3 = (1 + 1 + 1)*2
3 * 2 * 1 + 5^2 = 3!
25 / 5 = 5 - 5

can you think of some?

Oh boy. Did I get what for. Mark have your point back, and another four.

NUMBER
Zero

TREES
Three men

PIGS
None - pigs can't talk.

TWO, ELEVEN
On a clock.


Whim's puzzle: III = IX - XII (NO hours later,



Mark's answer; add a horizontal segment in front of the first I to get
-III = IX - XII (-3=9-12)

So simple, so elegant, so obvious. I would never have thought of that.


Four holes are drilled in a straight line in a rectangular steel plate. The distance between hole 1 and hole 4 is 35mm. The distance between hole 2 and hole 3 is twice the distance between hole 1 and hole 2. The distance between hole 3 and hole 4 is the same as the distance between hole 2 and hole 3.

What is the distance, in millimetres, between the center of hole 1 and the center of hole 3


There are five people in a room and each person shakes every other person's hand exactly one time. How many handshakes will there be


If an eight-inch square cake serves four people, how many twelve-inch square cakes are needed to provide equivalent servings to eighteen people


Casey has a total of $82.00, consisting of an equal number of pennies, nickels, dimes and quarters. How many coins does she have in all

HANDSHAKES
10

COINS
800

CAKE
2

HOLES
Assuming all measurements are from the centers of the holes, the answer is 21mm.

WHIM'S PUZZLES
These are tricky!

3 * 2 * 1 + 5^2 = 3!
How about a straight line connecting the two pieces of the ! to make it a 1?
3 * 2 * 1 + 5^2 = 31

25 / 5 = 5 - 5
Are two equalities legit?
25 / 5 = 5 = 5

345742 = 345742
Add a superscripted 1 to either side to get the equivalent of:
345742^1 = 345742

1872 - 3 = (1 + 1 + 1) * 2
Remove the horizontal segment from the 7 to get:
18/2 - 3 = (1 + 1 + 1) * 2

Mark continues to rampage through the questions.



HOLES
Assuming all measurements are from the centers of the holes, the answer is 21mm.

Mark off a distance of 35mm.
Place a marker labeled #1 at the zero point and one labeled #4 at the 35-mm point.
Place markers #2 and #3 between #1 and #4.
1) Move #2 and #3 until the distances between #2 & #3 and #3 & #4 are equal.
2) Is the distance between #1 & #2 equal to half the distance between #2 & #3?
Adjust the markers until both of these conditions are met.
Measure the distances to double check. The distance between #1 and #3 is 21mm.


There are five people in a room and each person shakes every other person's hand exactly one time. How many handshakes will there be?

HANDSHAKES
5 choose 2 = 10

There were a total of twenty handshakes. But notice that each person actually shook everyone else's hand twice. (For example, Rhonda shook Jagraj's hand, and Jagraj shook Rhonda's hand.) Divide the total number of handshakes by two to find out the total number if each person had shaken every other person's hand only once. There were ten handshakes.


If an eight-inch square cake serves four people, how many twelve-inch square cakes are needed to provide equivalent servings to eighteen people?

CAKE
2


Draw an 8 x 8 cake and cut it into 4 equal pieces. Since each piece is a square with side length of 4, the area of each piece is 4 x 4 = 16 square inches.
So each person gets 16 square inches of cake.
18 people times 16 square inches per person equals 288 total square inches of cake needed.
We know that a 12 x 12 cake contains 144 square inches of cake.
288 divided by 144 equals 2, so two 12 x 12 cakes are required to feed 18 people.

Casey has a total of $82.00, consisting of an equal number of pennies, nickels, dimes and quarters. How many coins does she have in all?

COINS
800


Let p be the number of pennies, n the number of nickels, d the number of dimes, and q the number of quarters.
We then have the equation p + 5n + 10d + 25q = 8200.
We know that she has an equal number of each coin, so p = n = d = q. Substituting p for the other variables gives an equation in just one variable. The equation above becomes p + 5p + 10p + 25p = 41p = 8200, so p = 200.

Casey has 200 pennies. Since she has an equal number of each coin, she also has 200 nickels, 200 dimes and 200 quarters. Therefore, she has 800 coins.


Payback:

Customers at a particular yogurt shop may select one of three flavors of yogurt. They may choose one of four toppings. How many one-flavor, one-topping combinations are possible

How many hours will a car travelling at 45 miles per hour take to catch up with a car travelling at 30 miles per hour if the slower car starts one hour before the faster car


Mark (no relation) had 60 markers he could turn in at the end of the year for extra-credit points he had earned during the year. Some markers were worth one point and others were worth two points. If he was entitled to a total of 83 extra-credit points, how many one point markers did he have


Three shapes-a circle, a rectangle, and a square-have the same area. Which shape has the smallest perimeter

YOGURT
12

CARS
2 hours

MARKERS
37

SHAPES
the circle (it's minimal for all shapes)

3 * 2 * 1 + 5^2 = 3!
How about a straight line connecting the two pieces of the ! to make it a 1?
3 * 2 * 1 + 5^2 = 31

25 / 5 = 5 - 5
Are two equalities legit? (in puzzles they are )
25 / 5 = 5 = 5

345742 = 345742
Add a superscripted 1 to either side to get the equivalent of:
345742^1 = 345742 but can you find another solution


1872 - 3 = (1 + 1 + 1) * 2
Remove the horizontal segment from the 7 to get:
18/2 - 3 = (1 + 1 + 1) * 2

There is just no stopping Mark, who picks up another four points. Will they be his last? Ps. well done with Whim's puzzles.


YOGURT
12

Make an organized list. Use F and T to denote either flavor or topping. Use the numbers 13 and 14 to mark different flavors and toppings.
F1T1, F1T2, F1T3, F1T4
F2T1, F2T2, F2T3, F2T4
F3T1, F3T2, F3T3, F3T4
Now count the number of combinations. There are 12 combinations possible. Simple!


How many hours will a car travelling at 45 miles per hour take to catch up with a car travelling at 30 miles per hour if the slower car starts one hour before the faster car?

CARS
2 hours

Make a table with two rows and four columns.
The rows will identify the cars, and the columns will mark the hours.
Where the rows and columns intersect will indicate distance traveled, since distance equals the speed times the amount of time traveled.

Car\Hour 1 2 3 4
Slow Car 30 60 90 120
Fast Car 0 45 90 135


At the end of the first hour, the faster car was just starting. At the end of the second hour, the faster car had gone 45 miles. At the end of the third hour, the faster car had gone 90 miles. This equals the distance traveled by the slower car in three hours. So, the faster car only traveled for two hours.



Mark (no relation) had 60 markers he could turn in at the end of the year for extra-credit points he had earned during the year. Some markers were worth one point and others were worth two points. If he was entitled to a total of 83 extra-credit points, how many one point markers did he have?

MARKERS
37

Make a guess as to the first value. We can adjust our guess as we get closer to the desired answer.

Pick 10 as the number of one-point markers. This means he has 50 two-point markers since we know he has 60 markers total. The value of this combination is 110 points.

We can keep track of our guesses in a table by listing the number of one-point markers, the number of two-point markers, and the total number of points various combinations would give.

# of 1-point Markers
# of 2-point Markers
Total Value

10 50 110
50 10 70
40 20 80
38 22 82
37 23 83
Trevor had 37 one-point markers.


Three shapes-a circle, a rectangle, and a square-have the same area. Which shape has the smallest perimeter?

SHAPES
the circle (it's minimal for all shapes)

First, compare the circumference of the circle to the perimeter of the square. They have equal area, so the area of the circle, pr2, equals the area of the square, s2. Consequently, the perimeter of the square will be slightly greater than the circumference of the circle.
Next, compare the perimeter of the square to the perimeter of the rectangle. A square is the quadrilateral which has minimum perimeter, so the perimeter of the square must be less than the perimeter of the rectangle.

By the transitive property, then, the perimeter of the rectangle will be greater than the circumference of the circle. Hence, the circle has the smallest perimeter.




A student needs at least a 95% average to receive a grade of A. On the first three tests the student averaged 92%. What is the minimum a student must average on the last two tests to receive a grade of A

What is the largest two-digit number that is divisible by 3 whose digits differ by 2


Zzy's powerboat is caught in the current and is being sucked towards the waterfall. The boat can run at 16 mph, but the current is pulling him towards the falls at 9 mph. Zzy's motor uses 5 gallons of gas an hour. He has 16 gallons left and the first safe landing is 21 miles back up river.

Will he make it


At the Social everybody shakes hands only once with every other person. Altogether there are 15 handshakes.

How many people attended the social
Suppose there were 78 handshakes

TESTS
99.5

SOCIAL
6, 13

2-DIGIT NUMBER
75

BOAT
Yes, with a gallon to spare.

P.S.
No guessing required on the markers. Let X be the number of one-point markers.
X + 2*(60 - X) = 83

WHIM
345742 = 345742
How about placing a horizontal segment above the equals sign?

345742 = 345742
How about placing a horizontal segment above the equals sign?

No that's not it... ;-)

whim

345742 = 345742


Add a horizontal line to the upper right of the 2. Making it 345742 to the first power.

My response

"Add a superscripted 1 to either side to get the equivalent of:
345742^1 = 345742"

should have covered both instances of unit exponents.

Mark yet again does not fail to impress.

TESTS
99.5

SOCIAL
6, 13

2-DIGIT NUMBER
75

BOAT
Yes, with a gallon to spare.

Work backwards from the required average on all five tests.
The average of the tests must be 95%. There are five tests so the total number of points scored on the five tests must be, at least, 5 x 95 = 475.
So far the student averages 92% on three tests. While we don't know all of the individual scores, the total number of points scored on the three tests must be 3 x 92 = 276.
475 points required minus 276 scored so far equals 199 required on the next two tests.
199 divided by 2 equals 99.5.


What is the largest two-digit number that is divisible by 3 whose digits differ by 2?

99, 98, 97, 96, 95, 94, 93, 92, 91, 90,
89, 88, 87, 86, 85, 84, 83, 82, 81, 80,
79, 78, 77, 76, 75, 74, 73, 72, 71, 70, . . .
Eliminate those numbers that are not divisible by 3:
99, 98, 97, 96, 95, 94, 93, 92, 91, 90,
89, 88, 87, 86, 85, 84, 83, 82, 81, 80,
79, 78, 77, 76, 75, 74, 73, 72, 71, 70, . . .
From these, eliminate all numbers whose digits do not differ by 2:
99, 96, 93, 90, 87, 84, 81, 78, 75, 72, . . .
75 is the largest number that remains.


Zzy's powerboat.
Yes, he will make it. At full throttle Zzy can go 16 - 9 = 7 mph relative to shore. He has to go 21 miles for a safe landing. This means 3 hours which will require 15 gallons of gas. But he has 16 gallons.


At the Social.
For n people the number of handshakes is n(n - 1)/2. So if there are 15 handshakes there must be 6 people. For 78 handshakes the answer is 13.


"No guessing required on the markers. Let X be the number of one-point markers.
X + 2*(60 - X) = 83" Thank you - seen and noted.



Drill sergeant Bius was born on the 256th day of 20 B.C. and died on the 24th day of 20 A.D. How old was Bius when he died


A brick weighs 4/5 of its weight plus 4/5 of a pound. How much does the brick weigh


ADD a baker's dozen, the number of the Boeing super jet, baseball's "stretch" inning, the number saved by a nine in time, what a golfer yells before hitting a long shot.

SUBTRACT the number of blackbirds baked in a pie, and the number of miles driven in the Indianapolis Memorial Race.

DIVIDE by the number of birds in hand that one in the bush is worth. What do you get


A man bet that there would be at least seven runs scored in a certain baseball game. In the last half of the ninth inning, the score was 3 to 2. There was no one on base and a batter at the plate. One pitch is made. After the play the man says, "I've won!" and leaves.

Why was he sure he had won

It's been a while, but i feel i am still welcome here :wink:


A brick weighs 4/5 of its weight plus 4/5 of a pound. How much does the brick weigh

if you read carefully you understand that 1/5 of the weight of the stone is 4/5 of a pound.
4/5 of a pound is 400 gram multiplied by 5 gives --> 2 kilograms