Next Number

Can you find the next number in the below sequence
3 , 7 , 10 , 11 , 12 , 17 ?




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Replace the (?)

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Two guards were on duty outside a barracks. One faced up the road to watch for anyone approaching from the North. The other looked down the road to see if anyone approached from the South. Suddenly one of them said to the other, "Why are you smiling?"

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If,

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21 % 7 = 33

42 % 6 = 67

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66 % 6 = ?

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Find the next number in the following series:
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In two decks of cards, what is the least amount of cards you must take to be *guaranteed* at least one four-of-a-kind?

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Sweet & very intelligent katty has 8 puppets(Jane Bird Barbie Angel Colleen Nora Lass Missy).
All puppets are of different size. She arrange all puppets to face towards the guest and tell the guess the following clues :

* Jane has three puppets bigger on its left side
* Bird has two puppets smaller on its left side
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* Nora has one puppet smaller on its left side
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Also some puppets are inside the bigger puppets.

Assuming you are the guest , can you tell the katty how the puppets are arranged ?

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