General Riddles

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

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?
A Calendar

Once upon a time there were two neighbors - one very rich and the other quite poor. Both were singers. While the rich man would sing in concerts, the poor man used to sing by the roadside. The rich man had this tendency to ridicule the poor man for his singing abilities. Once the poor man got infuriated and challenged the rich man that he knew all the songs in the world and could sing any existing song with whatever names the rich man could give. The rich man decided to take up the challenge and to make it more exciting promised the poor man that he would give all his wealth to him if he could really do so. He gave him the names of his four children - Jack, Jonathan, Williams and Harry. The poor man sang and got all the wealth of the rich man. What song did he sing?
"Happy birthday to you. Happy birthday dear Jack. Happy birthday to you!" "Happy birthday to you. Happy birthday dear Jonathan. Happy birthday to you!" "Happy birthday to you. Happy birthday dear Williams. Happy birthday to you!" "Happy birthday to you. Happy birthday dear Harry. Happy birthday to you!" "Happy birthday to you" - is an existing song and can be sung with any name of the world.

I'm the start of nothing and the end of sun and I'm also in the number one What am I?
The letter "N".

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?
$3. As the entire slice costs $3, it doesn't matter how many pieces it is cut into.

We are 3 friends. Our product and our sum always give the same answer. Who are we?
1, 2, 3.

How many times is the alphabet "a" used while writing the spelling of each number from 1 to 500?
Not a single time.

What has a head and a tail, but no body?

I am an English word. I have three consecutive double letters. Who am I?
Bookkeeper

Fill in the sequence: 1 2 3 2 1 2 3 4 2 ?
1 Explanation: Number of characters used in writing the numbers in roman numerals.

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