Quicker Maths
28Sep/1019

Divisibility Rule of 7, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47

You might have seen divisibility rules of various numbers. But most of them very conveniently skip the ones which are very difficult and a divisibility rule for which is very much required.  This post includes the divisibility rule for some such numbers like 7, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47.

 

While reading this you have to be little patient. Read this carefully and try to apply it practically. If you master divisibility rules or tests explained below, I am sure these will come very handy in various examinations including competitive ones.

22Sep/1027

Quick Multiplication up to 20 x 20

“I’m having trouble above 10x10.”

This was a statement I heard many times while interacting with students preparing for competitive examinations including CAT. This was in response to my appeal to them to memorize tables up to 20x20.

Today I am posting here on QuickerMaths.com, the method which I recommend to my students too.

How to multiply up to 20x20 in your head?

Assumption: You know your multiplication table reasonably well up to 10×10.

I am trying to explain this with an example,

21Sep/107

Dangerous Wine Tasting

You are the ruler of a medieval empire and you are about to have a celebration tomorrow. The celebration is the most important party you have ever hosted. You've got 1000 bottles of wine you were planning to open for the celebration, but you find out that one of them is poisoned. The poison exhibits no symptoms until death. Death occurs within ten to twenty hours after consuming even the minutest amount of poison. You have over a thousand slaves at your disposal and just under 24 hours to determine which single bottle is poisoned. You have a handful of prisoners about to be executed, and it would mar your celebration to have anyone else killed. What is the smallest number of prisoners you must have to drink from the bottles to be absolutely sure to find the poisoned bottle within 24 hours?

Filed under: Puzzles 7 Comments
19Sep/108

Perfect Square Puzzles

Squaring Puzzles- Find below 2 interesting puzzles related to square of some number. Hope you will like them.

Puzzle 1

The square of 13 is 169.  Take the last digit of the square, 9, and place it in the middle, making 196.  This is the square of 14, the next number above 13.

What are the next numbers which also have this property?

Puzzle 2

The following multiplication example uses every digit from 0 to 9 at least once.  Letters have been substituted for the digits.  Can you replace the letters and make the original multiplication problem?

B O G
x     B O G
_______________
L Y L E
G G U L
T U O O
___________________
U N I T O E

Filed under: Puzzles 8 Comments
13Sep/108

Grid Based Puzzle

Friends based on the emails I am getting I think most of you like creative and interesting logical puzzles.  So I am presenting another very interesting grid puzzle one for you.

Grid Puzzle

Below is a very special grid, around each shaded number are 8 white squares. However, each white square should have a number from 1 to 7. Once filled in, these 8 numbers will sum to the shaded number. In addition, once completed correctly, no row nor column will contain a duplicate number within a white square. For example, the top row may be 5 6 4 2 3 1 7, etc. hence no digit repeated (similar to Sudoko)

Figure-1

Try to fill all the blank spaces. Leave your answers below by writing the numbers row-wise.

If you like the stuff here on QuickerMaths.com, you can share it with your friends on FaceBook using the Like it button.

Answer (posted on September 17, 2010)

Filed under: Puzzles 8 Comments
8Sep/1011

Time Measurement Riddle

After quite a few days I am posting a riddle. I assure you it's very interesting. Though it may seem a little difficult when you first read it, maintain your cool and ponder over it again.

Suppose you have ten threads and a lighter. If a thread is lighted, it will burn for exactly one hour. The threads do not burn at constant speed, in other words it can happen that the first half of the thread is burned in 15 minutes, while the remaining part will take three quarters. How can you measure exactly 45 minutes using these threads, and what is the minimum of threads you need for this?

If you need any clarification, leave your queries as comment.

Leave your asnwers below as comments.

Try your hand at another interesting time keeping puzzle

Filed under: Puzzles 11 Comments
7Sep/105

Beauty of Numbers

In this post I am sharing with some very interesting numerical symmetries. I got it from varied sources but the most interesting is the book from Shakuntala Devi titled Figuring: The Joy Of Numbers. It's a must read for all math lovers.

So here you go -

1 x 8 + 1 = 9
12 x 8 + 2 = 98
123 x 8 + 3 = 987
1234 x 8 + 4 = 9876
12345 x 8 + 5 = 98765
123456 x 8 + 6 = 987654
1234567 x 8 + 7 = 9876543
12345678 x 8 + 8 = 98765432
123456789 x 8 + 9 = 987654321

1Sep/101

Mind Boggling Math Puzzles: Millennium Prize Problems

Quicker Maths offers regular tips and tricks for zooming through some arithmetic problems, as well as giving us fascinating puzzles that offer some solid food for mathematical thought. But what if you were given the opportunity to earn one million dollars to solve one math problem? That's exactly the deal that the Clay Mathematics Institute in Cambridge Massachusetts has offered. And pretty much anyone can enter to win.

The Millennium Problems, as they are known, were originally seven math problems that had existed for several years and remained unsolved. Most recently, one problem--the Poincare Conjecture--was successfully solved by Dr. Grigory Perelman of St. Petersburg, Russia. Perelman worked on and solved the problem in 2002 and 2003, and was thereafter awarded the CMI one million dollar prize in 2010, although he ended up turning down the prize money.

Filed under: Puzzles Continue reading