Solve the alphametic puzzle by replacing the alphabet with the number.

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I am a word that begins with the letter “i.” If you add the letter “a” to me, I become a new word with a different meaning, but that sounds exactly the same. What word am I?

Thomas has missed an excessive number of days of school, so he must meet with Principal Davis. Mr. Davis asks him "Why on Earth have you missed so many days?" Thomas replies "There just isn't enough time for school. I need 8 hours of sleep a day, which adds up to about 122 days a year. Weekends off is 104 days a year. Summer vacation is about 60 days. If I spend about an hour on each meal, that's 3 hours a day or 45 days a year. I need at least 2 hours of exercise and relaxation time each day to stay physically and mentally fit, adding another 30 days. Add all of that up and you get about 361 days. That only leaves 4 days for school." The principal knows Thomas is full of it, but can't figure out why. Where is Thomas going wrong?

I have branches, but no fruit, trunk or leaves. What am I?

John left on a horse on Thursday , was gone for two days, and came back on Thursday after completing his work. How did that happen?

What number divided by 4 is the same as that number minus 4?

Decode the movie name from the below picture?

In the given figure, you can see that four match sticks are used to form a square. Can you form five squares by using six matches?

What is in seasons, seconds, centuries and minutes but not in decades, years or days?

I shave every day, but my beard stays the same. What am I?