Math Riddles
Math Riddle - 1
A 26" x 26" square metal plate needs to be fixed by a carpenter on to a wooden board. The carpenter uses nails all along the edges of the square such that there are 27 nails on each side of the square. Each nail is at the same distance from the neighboring nails. How many nails does the carpenter use?
What if the metal plate is in the shape of a regular polygon (e.g., pentagon, hexagon, heptagon, octagon, etc.)? Try generalizing the above result to the case of a regular polygon.
Math Riddle - 2
A painting job can be completed by 5 painters in 37 days. If 10 more painters join the team 7 days after starting work on the job, then how many more days are required to complete the job?
The number of days for the job is inversely proportional to the number of painters. So, is 'number of days × number of painters = constant'?
What assumptions were made to arrive at the solution?
Is something assumed about the output of the painters?
You may also like:
Who is behind QuickerMaths?
I am Vineet Patawari - PGDM (IIM Indore), ACA, B.Com(H). My passion for Mathematics, specially Vedic Maths encouraged me to start QuickerMaths
I believe that if trained properly using powerful tools like Vedic Maths, the immense intellect of human mind can be ignited instantly - find out more
Get Maths Tricks by Email
Recent Comments
watchman was paid for awaking not for sleeping so that he can see dreams.. – 05Feb12
as a night watchman he shouldnt have slept at night to get that dream... – 04Feb12
Can u plz give me clarity in ur solution Kaush sir..... – 04Feb12
thanks for these tricks. Are these from the book "quicker maths by m.tyra" ? – 03Feb12
Most Popular
- 100% Finding Cube Root – Vedic Maths Way
- 67% Shortcut to Find Square of a Number
- 58% Shortcut Method for Multiplication
- 56% Shortcut to find the Cube of a number
- 53% Squaring any 2-digit number
- 49% Divisibility Rule of 7, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47
- 45% Herons Method of Finding Roots
- 45% Division in Vedic Mathematics
- 42% You can make a difference
- 41% Quicker Maths by M Tyra
- 40% Quick calculations for extremely large numbers
- 40% Divisibility Rules for 7 , 11 and 13
- 37% How to convert from decimal to other number systems
- 36% Quick Multiplication up to 20 x 20
- 36% Logical Reasoning Books
September 2nd, 2010 - 14:41
10 days only
September 2nd, 2010 - 18:41
Nice riddle and thanks for the same.This kind of problems although simple will make people think for some time atleast.For the first problem 27+26+26+26 nails.
September 2nd, 2010 - 14:40
10 Days only.
September 2nd, 2010 - 18:43
10 days
July 5th, 2010 - 16:35
math1
26*number side of regular polygan
math2
10 days( if all painter gives equal output)
April 23rd, 2010 - 22:12
Okay.. the website server has some problem..
even my post is at 17:30..
April 23rd, 2010 - 22:11
Moderator, interestingly all the above posts were exactly at 17:30 hours.
Puzzle lovers, what is the probability of that happening? Or is it programmed to do so?
March 28th, 2010 - 00:06
I found your blog on google and read a few of your other posts. I just added you to my Google News Reader. Keep up the good work Look forward to reading more from you in the future.
March 23rd, 2010 - 03:35
I wanted to thank you for this excellent read!! I definitely enjoyed every little bit of it. I have you bookmarked your site to check out the new stuff you post.
March 22nd, 2010 - 14:56
Great post. I will read your posts frequently. Added you to the RSS reader.