Only one jailer visit them to provide them with food. the first prisoner didn’t take his food at the fifth day which is the number of cities he sees from his cell. the second will notice that and sum both the cities he sees plus the 5 which corresponds to the number of evening it took for the other to hunger strike. since each look at half of the cities so the total number would be 10
I think there is a rule somewhere that says at least three cuts are needed to make seven pieces. Since the paper cannot be folded or bent so after the first cut the two pieces woujld be stacked for the second cut. I’m sure I could do it with actual paper but I’m having trouble seeing it in my head only.
L=length of rope
R=radius
As other answers have shown, this is a calculus problem. After reviewing many sites with this problem I have found an easy equation for deriving the area of the involute of the circle. Using that makes this puzzle easy. The formula is:
L^3/3R+1/2L^2*pi=R^2*pi
This cubic equation gives 3 roots, two of which are negative so unusable. The positive root is 15.0788
Please see http://tomlaidlaw.com/goatandsilo for more discussion.
hex has it right.
3/4 of a 45 ft. radius circle
+2*79.45/360 of 25 ft. radius circle
+Area of triangle of sides 25,25,28.28(diagonal of barn)
-1/2 barn area
Approx. 5729.5
See my complete discussion of this puzzle at http://tomlaidlaw.com/goatandsilo
3 heaviest = 35/100
3 lightest = 25/100 (5/13 of remaining => 25/65 of remaining)
So,
1 – (35+25)/100 = 40/100 weight remaining
On Average Each fish should weigh less than 1/3 of 35/100 or 12
and also weigh more than 1/3 of 25/100 or 8
Hence 4 fishes should b remaining
So a total of 10 fishes was caught.
D to me it seems that no same marked circle would appear twice with in the same line or column, a little like sudoku, as well as each line and column has 2 sets of diagonally opposed triangles and 1 with both triangles at the base.
crossing the river puzzle
hhhhhh i got it but i don’t want to reveal it lolll……
http://prntscr.com/1a1uyf
Mystery Photo #1
A CHIP
Connect It- Gear Game
[...] http://www.smart-kit.com/s5042.....gear-game/ [...]
The Tower
Only one jailer visit them to provide them with food. the first prisoner didn’t take his food at the fifth day which is the number of cities he sees from his cell. the second will notice that and sum both the cities he sees plus the 5 which corresponds to the number of evening it took for the other to hunger strike. since each look at half of the cities so the total number would be 10
How old?
(year of birth)+(year of birth)/29 >1900
it doesn’t take many tries before we come up with:
1856+64=1920, so she was 44 in 1900.
Cutting into 7 pieces
I think there is a rule somewhere that says at least three cuts are needed to make seven pieces. Since the paper cannot be folded or bent so after the first cut the two pieces woujld be stacked for the second cut. I’m sure I could do it with actual paper but I’m having trouble seeing it in my head only.
The Involuting Goat
L=length of rope
R=radius
As other answers have shown, this is a calculus problem. After reviewing many sites with this problem I have found an easy equation for deriving the area of the involute of the circle. Using that makes this puzzle easy. The formula is:
L^3/3R+1/2L^2*pi=R^2*pi
This cubic equation gives 3 roots, two of which are negative so unusable. The positive root is 15.0788
Please see http://tomlaidlaw.com/goatandsilo for more discussion.
The Goat Problem
hex has it right.
3/4 of a 45 ft. radius circle
+2*79.45/360 of 25 ft. radius circle
+Area of triangle of sides 25,25,28.28(diagonal of barn)
-1/2 barn area
Approx. 5729.5
See my complete discussion of this puzzle at http://tomlaidlaw.com/goatandsilo
How Can this Be?
THERE GRAND FATHER ADOPTED THEM AFTER THEIR PARENTS DEAD MAYBE ?
Where is the Astronomer?
the small boy, due to the position of the eyepiece on the telescope
Graphic Puzzle with Floating Squares (Moderate Difficulty)
b
Heavy Fish
3 heaviest = 35/100
3 lightest = 25/100 (5/13 of remaining => 25/65 of remaining)
So,
1 – (35+25)/100 = 40/100 weight remaining
On Average Each fish should weigh less than 1/3 of 35/100 or 12
and also weigh more than 1/3 of 25/100 or 8
Hence 4 fishes should b remaining
So a total of 10 fishes was caught.
Sad Clown Face Picture Puzzle
*
The Pin Problem
2
Pinwheel series question (IQ test style)
5
Number squares
6
Green Triangles with Some Math
9
Moving Star Sequence Question
2
Yellow Matrix Brain Teaser
C
Tricky sequence question- IQ test style
4
Monday Morning Warm up
+sign in center and upward arrow in top right corner
Matrix Puzzle- Triangles & Rectangles
C
Shaped Matrix Puzzle- Triangles & Circles
D to me it seems that no same marked circle would appear twice with in the same line or column, a little like sudoku, as well as each line and column has 2 sets of diagonally opposed triangles and 1 with both triangles at the base.
Shaped Matrix Puzzle- Triangles & Circles
D
What comes next?
D
Purple Sequence Question
3
Find the Missing Number
6
Matching Shapes
A2, B5, C1, D3, E4
Guess the star colors
Filling the empty boxes left to right would be green star, pink star, yellow star
A Unique Blend
70 pounds @320 plus 30 pounds @ 400 will give 100 pounds sold for 430 per pound will give a 25% profit