I make two people out of one. What am I?

Can you solve below mathematical equation?

2^1234 - 2^1233

I am a seven-letter word but if you remove four of my letters I will have one left. What word am I?

I welcome the day with a show of light, I stealthily came here in the night. I bathe the earthy stuff at dawn, But by noon, alas! I'm gone.

One absent-minded ancient philosopher forgot to wind up his only clock in the house. He had no radio, TV, telephone, internet, or any other means for telling time. So he travelled on foot to his friend's place a few miles down the straight desert road. He stayed at his friend's house for the night and when he came back home, he knew how to set his clock. How did he know?

what does the below rebus means?

Can you replace the question mark with the correct number in the below table sequence?

Double it and multiply it by 4. Then divide it by 8 and you’ll have it once more. What number is it?

While preparing the table for dinner, wife came up with an idea to tease his mathematician husband. She asked her husband to pick nine toothpicks and make ten without breaking any toothpick.

The husband was also smart and did it within seconds. How ?

If you remove one from eleven, it becomes ten. If you remove one from nine, it becomes ten.

How is this possible?