A Determined Cat on a Ladder!

A ladder is leaning against a wall. On the center rung is a cat. She must be a very determined cat, because she remains on that rung as we draw the foot of the ladder away from the tree until the ladder is lying flat on the ground. What path does the cat describe as she undergoes this indignity?

She follows this path!

A Path Followed by Determined Cat

What was the question?

 Interestingly, the cat follows the circular path whose center is at the foot of tree. 

Actually, as ladder is drawn out a series of right triangles with the same hypotenuse (the ladder) are created with respect to the foot of tree.

The point of hypotenuses where cat is sitting determinedly will be always at the same distance from all 3 vertices. So if all such point are joined then we get a circular path having center at the foot of tree. 

(Figure is for illustration purpose only & may not have accurate measurements.

Test if You Are a Genius!

People’s Daily,China tweeted out this math puzzle in which each picture represents a number.

The question reads,

"Are you a math genius? Test your brain with this Chinese math puzzle. Did you get it right? (HINT: The correct answer is 16)"

Solve if you can!

Did you figure out how correct answer is 16? 

Did You Prove Yourself Genius?

Look at the question first! 

Let's take a look at the puzzle again.

First thing, we should observe in such puzzles that how objects in the question equation differs from those in given equations.

Here, pair of the sneakers appears as it is in the question while pair of whistles reduced to 1 whistle in question.

And if we look closely the cat, the whistle around the neck is missing in the question.

Now from equation (1), pair of sneakers = 10.

From equation (2), Cat = 5. 

From equation (3), 2 whistles = 4; hence 1 whistle = 2.

Here, we can deduce that cat without whistle in question is CAT - WHISTLE = 5 - 2 = 3.

So the equation in question comes out as, 10 + 3 X 2  = 10 + 6 = 16.