General Riddles

I help you in fixing your appointments and important schedules. You use me everyday several times. Still you keep on changing me every month. Who am I?

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A Calendar
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If NUMERAL is written as UEALRMN then how would you write ALGEBRA?

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LERABGA
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A slice of cake costs $3 if it is cut into two pieces. How much will it cost if it is cut into seven pieces?

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$3. As the entire slice costs $3, it doesn't matter how many pieces it is cut into.
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You can find me in the middle of each month in all the countries. You can always find me only in the night but never in the day.

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The alphabet "N".
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Complete the sequence: 49 61 51 63 53 65 55 ?

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67 Explanation: Alternate numbers increase by 2. 49 become 51 then 53 and so on. Similarly, 61 becomes 63 and then 65.
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I reach for the sky, but clutch to the ground; sometimes I leave, but I am always around. What am I?

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A tree.
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Tim came second in Math. When his mother asked him how much he had scored, he answered that he got the sum of the first 9 even numbers. His mother immediately worked out the answer. How much had he scored in Math?

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90 Explanation: Sum = (n x n) + n Hence, 9 x 9 = 81 + 9 = 90
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Place the following letters in such a manner that it becomes something which is used to clean: boas

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soap (flip the alphabet b so that it becomes p).
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Some might say we are red some might say we are green. Some play us some spray us and sometimes our color is in between. What am we?

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Peppers.
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A tunnel is 650m long. How far can a horse run into the tunnel if the horse is running at a speed of 10km/hr?

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325m Explanation: After that the horse is running out of the tunnel.
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