Math the Magic

Find the next number in the sequence

5 12 24 36 ?




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Can you find out what is missing?

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You are given a cube that is made with the help of 10x10x10 smaller cubes summing up to a total of 1000 smaller cubes. You are asked to take off one layer of the cubes.
How many remain now?

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Find three whole, positive numbers that have the same answer when multiplied together as when added together.

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10 people came into a hotel with 9 rooms and each guest wanted his own room. The bellboy solved this problem.
He asked the tenth guest to wait for a little with the first guest in room number 1. So in the first room, there were two people. The bellboy took the third guest to room number 2, the fourth to number 3, ..., and the ninth guest to room number 8. Then he returned to room number 1 and took the tenth guest to room number 9, still vacant.
How can everybody have his own room?

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Count the Triangle in the figure given below:

Can You Count

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What's the next in the series?

H, Be, F, S, Mn, Kr, In, Gd, Tl, ?

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I am a type of word that is spelt incorrectly or used differently, on purpose for humour. What am I?
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Hint 2: I am a play on words.

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In a guessing game, five friends had to guess the exact numbers of apples in a covered basket.
Friends guessed 22, 24, 29, 33, and 38, but none of the guesses was correct. The guesses were off by 1, 8, 6, 3, and 8 (in random order).

Can you determine the number of apples in a basket from this information?

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Kareena is older than Katrina and younger than Karishma. Isabelle is younger than Bipasha and Karishma. Bipasha is older than Karishma. If Kareena and Isabelle are the same age, who's the youngest?

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If I remove one from eleven it becomes Ten and if I remove one from nine also becomes Ten. How?

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Jigsaw puzzles

Jigsaw puzzles soared in popularity during the great depression, as they provided a cheap, long-lasting, recyclable form of entertainment.