Amazing Set of Fractions!

What if I tell you to form two fractions with sums equal to their products?

This is like think of two numbers: Add the two numbers and then multiply the two numbers.

The result should be the same!

Is there a way for you to find out how can this be?

Fortunately, there is a formula for this!

Let x be any whole number.

Then the two numbers (x) and (x/x-1) are the two numbers we are looking for!

Sample: Let x be 5.

Then the two numbers should be 5 and 5/4.

Both have a sum and product of 6.25!

Agree with me?

Multiplication Techniques: Part 2

Multiplying a two-digit number by itself starting with 5.

Sample: 54 x 54 = ?

First, multiply the last digit: 4 x 4 = 16. This will be the last two digits of the answer.

Second, multiply the other digit by itself: 5x5 = 25

Now add the last digit to the product in Step 2. This will give you ->

25 + 4 = 29. This will be the first two-digits of the answer!

Presto! The answer is 2916. Got it?

Another example: 59 x 59? Did you see how did you arrive at 3,481?

Tickle IQ Test

I visited one of the IQ tests over the internet last January 18, 2008.

I was surprised that I got an IQ of 120 with Intellectual Type of the mathematician Pythagoras.

Attached is the report of my answers vs. the correct answers to the questions. IQ Report.

Before you view the report, take a shot and know your IQ too.

Exercise your mind.

Hardest Logical IQ Problem

They say that logic problems is the best way to measure one's IQ because these kinds of problems do not take into consideration your background. Although, it certainly helps having a degree in analysis subjects such as mathematics, engineering, finance, accounting, etc.

This is so far the hardest logic IQ problem that I encountered. They say that when you solved this IQ Problem, you'll belong to the top 2% of the world's most intelligent people. It was called Einstein Quiz!

Modesty aside, I was able to solve this problem in around 1 hour of hard thinking.

Luckily, with just one try I got the answer correctly!

Try it for yourself too!

Here's the file!