General Riddles

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

6 15 18 20 ? = FORTY
25. Explanation: Replace each number with the corresponding letters in the alphabet. 6 = F 15 = O 18 = R 20 = T 25 = Y

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.

I am a fruit. I am tasty and provide lots of energy. You can find also me in a calendar. Who am I?

I have one letter but my name is spelled with eight. What am I?
Envelope

Three people check into a hotel. They pay $30 to the manager and go to their room. The manager finds out that the room rate is $25 and gives the bellboy $5 to return to the guests. On the way to the room the bellboy reasons that $5 would be difficult to split among three people so he pockets $2 and gives $1 to each person. Now each person paid $10 and got back $1. So they paid $9 each, totaling $27. The bellboy has another $2, adding up to $29. Where is the remaining dollar?
This is a nice nonsense. Each guest paid $9 because they gave $30 and they were given back $3. The manager got $25 and the difference ($2) has the bellboy. So it is nonsense to add the $2 to the $27, since the bellboy kept the $2.

I have four sides. Anyone can calculate my area if they come to know the length of any one side of mine. I have four right angles within me. Which shape am I?

Imagine you are in a dark room. How do you get out?
Stop imagining.

Complete the sequence: 4, 7, 15, 29, 59, 117 ?
235 Explanation: 4+3=7 7+4x2=15 15+7x2=29 29+15x2=59 59+29x2=117 117+59x2=235

I am an eight letter standard word used by almost everybody. If you take away two alphabets from me I will make a logical sequence. Who am I?
STANDARD

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