Maths Puzzles

  There are as many four-legged chairs and as many four-legged tables as workers in the office of Yamraj, and as many three-legged stools as four-legged almirahs. If the number of stools be one more than number of workers and the total number of legs be 585,then what is the number of workers in the office?

 As a part of festival sale, one shop offers 50% discount on a particular watch. The next shop offers 30% discount on the same watch, then additional 20% discount after the first discount is applied. Which shop offers the cheaper price?

 Puzzle 88 asked you to draw 8 equilateral triangles using only 6 equal length line segments.  Here is the much familiar diagram for you.  Two equilateral triangles, forming six more.  Who knew the only rangoli I could draw will be a solution to a mathematical puzzle? Do you know any other solutions to this puzzle?

 Puzzle 87 was quite simple. Solution : The puzzle tells you that 3% of the total women wear one earring. Half of remaining 97% wear 2 earrings. The remaining half don't wear earrings at all. Which means that on an average, 97% of women wear (2+0)/2 = 1 earring. Which makes the average earring worn by all  100% women is one.  The total number of earrings worn by women in that village is 100X8000 / 100 = 8000.

Do you need a change of pattern, dear reader? Here is a geometrical puzzle.  Draw 6 line segments of equal lengths to form 8 equilateral triangles. Hint: The triangles need not be of the same size. P.S. Well, the source of this puzzle and many others is this book by T he colossal book of short puzzles and problems by Marin Gardner  and is really wonderful book. (It has solutions too ;) )     Find the solution here. 

 Well, the title is bigger than the quiz itself. Hint: the solution is simpler than you think.

 Puzzle 86 was  Using only 3 nines and any of the operators +,-,X ,/ and √, can you get the numbers 1, 4 and 6? Solution: The original question in reddit says there are multiple answers. I copied (wink-wink) only one answer. 1 = √(9X9)  / 9 4 = √9 + 9/9 6 =  √(9X9) - √9