Find 9 odd number whose sum is 199

There are 10 parking spaces numbered from 101 to 110. At least one car is parked in these slots. If cars can be parked only at the consecutively numbered parking slots, how many such arrangements can be made. Consider that only one car can be parked in one parking slot and all cars are identical.

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A mother has twelve children, each born in a different month. They want to go to the beach. She says she’ll take them if they can win a game. She puts the name of each child on a card and tells them she will place the cards face-down in a row on a table in the next room.

She’ll randomly call one child in. The child can turn over cards one at a time, up to half the cards, looking for his or her own name.

If that child finds his or her own name, he or she will be sent outside to play, and won’t be able to communicate with the children still waiting to take a turn. The mother will turn all the cards back face-down, keeping them in the same order, and will randomly call in another child and repeat the process. In order for the children to win the game and go to the beach, all the children must be successful in finding their own names. If any child fails, the game is over, and there will be no trip to the beach! The children can consult each other before their mother starts the game, but those who have already taken a turn cannot contact the others or leave any clues for them.

The children talk among themselves and devise a strategy that all the children will be able to follow perfectly. The game begins, and the first child is called into the room where the game is taking place. A few minutes later, he comes back into the room with the other children, grinning widely. “Pack your swimsuits and your towels!” he says. “We’re going to the beach!”

The child is correct, and knows for certain that the inevitable outcome of the game is that the children will win. How many cards did he turn over before he found his name?

puzzle by Harvey Lerman

which number is greater ?
99^999 + 1 99^1000 +1
———— OR ———–
99^1000 + 1 99^1001 + 1

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Let’s see your math quotient

can you tell which number should replace the question mark ?

Three tourists sought lodging in a small American hotel. The Receptionist
Offered them a three-room suite for $300. The three men went upstairs
With the Hotel Attendant to have a look at the suite. Everything seemed fine, and
Each tourist gave $100 to the Hotel Attendant. When the Receptionist received the
$300 from the Hotel Attendant, he discovered that he had made a mistake: the
Price of the suite was only $250. Therefore, he sent the Hotel Attendant back
With five $10 bills. On his way upstairs, the Hotel Attendant realized it would
Be a problem to distribute the five $10 bills among three people. So he
Slipped two of the $10 bills into his own pocket, and gave back $10 to
Each of the three men. Thus, they had each paid $90, which adds up
to $270. Twenty dollars ended up in the Hotel Attendant’s pocket. Altogether,
That makes $270 + $20 = $290, even though the three guests had originally
Paid $300.
What happened to the missing ten dollars?

Dhoni is now two fifth of his older brother’s age and two years from now he will be half of his older brother’s age.

Two years ago, dhoni was only one-fourth the age of his older brother age at that time.
How old is dhoni now ?

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You have a basket of Oranges
You gave your mom half of them and half an orange
then, you gave your dad half of whats left & half an orange,
Finally you gave your sister half of whats left & half an orange
and the basket became empty.
How many oranges were there in the basket ?

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Number Puzzle #150

Square – Square = 9

+               +
Square – Square = 14

12              2