A four-digit number (not beginning with 0) can be represented by ABCD. There is one number such that ABCD=A^B*C^D, where A^B means A raised to the B power. Can you find it?

In my garden, I have many trees but only one of them is the mango tree. In these mango trees, there are some mangoes(as expected).

But after a strong wind, there are neither mangoes on the tree nor on the ground. Explain?

There are nine dots in the picture that has been attached with this question. Can you join all the dots by drawing four straight lines without picking up your pen?

Can you move 2 matchsticks to form four equal sized squares.

If 21x = 79x, what is the value of x?

Which number comes next in the number series?

2, 9, 30, 93, ?

Can you count the number of squares in the figure below?

Which five letter word can be added at the end of below word to form a
valid word?

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Pronounced as one letter,
And written with three,
Two letters there are,
And two only in me.
I am double, I am single,
I am black blue and grey,
I am read from both ends,
And the same either way.

I have a five and a three-gallon jar. Assuming there is an infinite supply of water, how can I measure one-gallon water?