Why 1729 is a magic number? Answer Logically.

I am Huge on Sunday and Saturday.
I am small from Tuesday to Thursday.
I do not exist on Monday and Friday.
Who am I?

Eight of us go fourth, not back, to protect our king from an attack. What are we?

When a clock is observed, the hour hand is at a minute mark and the minutes hand is six minutes ahead of it.

When the clock is observed again after some time, the hour hand is precisely on a different minute mark and the minute hand is seven minutes ahead of it.

Can you calculate how much time has elapsed between the two observations?

I am thinking of a five-digit number such that:
The first and last digits are the same, their submission is an even number and multiplication is an odd number and is equal to the fourth number. Subtract five from it and we obtain the second number. Then divide into exact halves and we get the 3rd number.

What number I am thinking of?

Below the four parts have been reorganised. The four partitions are exactly the same in both arrangements. Why is there a hole?

What does this rebus means ?

PROG WORKRESS

A word I know,
Six letters contain,
Subtract just one,
And twelve is what remains.

In two decks of cards, what is the least amount of cards you must take to be *guaranteed* at least one four-of-a-kind?

In case you were starting to feel confident, this one was meant for third graders in Vietnam. The answer is 66, but we don't blame you for scratching your head about how they got there.