## Ponder This Challenge

Have a look at these special numbers: 1233 and 990100. Do you notice anything special in these numbers?

Yes, these numbers are out of the ordinary indeed. If you break such numbers into two equal parts and add their squares, you recover the same number.

1233 = 12^2 + 33^2

990100 = 990^2 + 100^2.

Can you find an eight-digit number N with the same property, namely that if you break N into two four-digit numbers B and C, and add their squares, you recover N?  Read More

## Puzzle on Barter System

AT A CATTLE MARKET

Three countrymen met at a cattle market. ‘Look here,’ said Hari to Jaggu, ‘I’ll give you six of my pigs for one of your horses, and then you’ll have twice as many animals here as I’ve got.’

‘If that’s your way of doing business,’ said Dinanath to Hari, ‘I’ll give you fourteen of my sheep for a horse, and then you’ll have three times as many animals as I.’

‘Well, I’ll go better than that,’ said Jaggu to Dinanath; ‘I’ll give you four cows for a horse, and then you’ll have six times as many animals as I’ve got here.’

No doubt this was a very primitive way of bartering animals, but  it is an interesting little puzzle to discover just how many animals Jaggu, Hari and Dinanath must have taken to the cattle market.

If you enjoy puzzles like this you may also enjoy math classes from an accredited online college.

## Something for the Chickens

A simple mathematical logic says –

odd + odd = even

odd + even = odd

even + odd = odd

even + even = even

Now since you know this have a look at the small riddle below –

A friend of mine runs a small poultry farm in Bangalore.  She took me round to see the place. I counted the number of chickens. There were 27 of them. And there were 4 enclosures. I noticed that in each enclosure there were an odd number of chickens.

Can you tell how many there were in each enclosure?

## Mystery of Missing Rupee

Dear Friends,

I am presenting to you a very interesting riddle. Once you get the answer to this you can pose this riddle to your friends, etc. I am sure most of them will not be able to solve the mystery of the missing rupee.

Riddle: Mystery of Missing Rupee

Three men walk into a hotel and rent a room for Rs. 30. They contribute towards the room rent equally. So each one of the paid Rs. 10

The hotel manager after sometime realized the room rent should have been only Rs. 25 rupees. So he sent the dishonest bellboy and told him to give Rs. 5 back to the men.

The bellboy cheated and gave each one of them Re. 1 back.

Now you know Rs. 27 (10-1 = Rs. 9 each) is paid by the 3 men and Rs. 2 is with the bell boy. That makes it Rs. 29 (27+2), so where is the remaining Re.1

**This question is actually meant to be asked when you are face to face with the other person.

I think its effectiveness and punch was somewhat lost in written words. Nevertheless, give it try and enjoy asking it to others.

## Time Keeping Puzzle

Here’s a mathematical puzzle to puzzle you. If you crack this your sense of time is good 😉

Try it out –

Mr. Moody grumbles about bad time-keeping of trains from morning till night!

On one particular morning he was quite justified.

His train left on time for the one hour journey, to Clarksville, and it arrived 5 minutes late.
However, Mr. Moody ‘s watch showed it to be 3 minutes early, so he adjusted his watch by putting it forward 3 minutes.

His watch kept time during the day, and on the return journey in the evening the train started on time, according to his watch, and arrived on time, according to the station clock.
If the train travelled 25 percent faster on the return journey than it did on the morning journey, was the station clock fast or slow, and by how much?