General Riddles

I am a 7 letter word. I become longer when my third letter is removed. Who am I?

Make the following equation correct by using only 1 line: 102 + 5 + 8 = 650
102+548=650 (use the single line to make the + 4)

Fill in the sequence: 10 10 22 9 24 8 26 ?
7 Explanation: There are two series - 20, 22, 24, 26 and 10, 9, 8, 7.

Sometimes I am bigger than you and sometimes I am smaller than you. Sometimes I follow you and sometimes you follow me. I don't have any weight. Who am I?
Your shadow

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?
90 Explanation: Sum = (n x n) + n Hence, 9 x 9 = 81 + 9 = 90

I can fill up an entire room and still not take up any space. Who am I?

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?
Peppers.

A man is pushing his car along the road when he comes to a hotel. He shouts, "I'm bankrupt!" Why?
He was playing Monopoly.

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.

A ladder hangs over the side of a ship anchored in a port. The bottom rung touches the water. The distance between rungs is 20 cm and the length of the ladder is 180 cm. The tide is rising at the rate of 15 cm each hour. When will the water reach the seventh rung from the top?
If the tide is raising water, then it is raising the ship on water, too. So water will reach still the first rung.

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