Puzzle 43: Geometry problems

-

 This time we have two geometry problems. And both are images, easy for the eyes and brain.

 Find the areas marked with ? in these two puzzles.







Comments

Post a Comment

Popular posts from this blog

Puzzle 119 - Prisoners with hats

-
Image
10 prisoners share a cell. The prison warden tells them that the next day they’ll be randomly lined up for execution. He’ll place either a black or white cap on everyone’s head. Each prisoner starting from the back of the line will guess what color his hat is. If he gets it wrong he’ll be executed.  Every prisoner can not see the hat on his head or of those behind him. He can see the hats of everyone in front of him.   How can the prisoners devise a strategy to save their lives?    You can find the solution here . 
Read more

Puzzle 132 - Triple the value

-
Image
To the fraction 1/3, if you add 3 to both its numerator and denominator, its value doubles - it becomes 4/6 = 2/3. Find a fraction whose value triples when you add its denominator to both numerator and denominator.  Find also the fraction whose value quadruples when you add the denominator to its numerator and denominator. Show Answer Answer : 1/5 and 1/7 If we have any fraction with odd denominator 2n-1 and 1 as numerator, when we add the denominator to both numerator and denominator, its value is multiplied by n.  So for n=3, the fraction is 1/2X3-1 = 1/5 and when we add 5 to both numerator and denominator, we get 6/10 = 3/5 Which is 3 times 1/5
Read more

Puzzle 136 - Knaves and knights

-
Image
Image from: Popular Mechanics By now you might have heard many, many, many puzzles of some people always telling truth, and others always telling lies. But in real life, we all neither knights, nor knaves. Anyway this puzzle is slightly different - there are couples and these couples both lie or both tell truth or one lies and other one tells truth. (We all like to believe ourselves to be the last one - wink wink) Dags, Eggs and Fens are being interrogated as one of them is a spy. One of the couples always tells truth. In another couple, both husband and wife always lie. And in the third couple, one of the spouses always lies and the other one always tells truth. Here are the statements by the three couples when interrogated. Mr. Dag:  I am not the spy Mrs. Dag:  Mr. Egg is the spy. Mr. Egg:  Mr. Dag is truthful. Mrs. Egg:  Mr. Fen is the spy. Mr. Fen:  I am not the spy. Mrs. Fen: Mr. Dag is the spy.     Which person is a spy? (This puzzle is take...
Read more