You see a mathematical expression in the picture. Can you think of a movie that this expression refers to?

Can you complete the sequence puzzle?

AR TA GE CA LE VI LI _

In front of you, there are 9 coins. They all look absolutely identical, but one of the coins is fake. However, you know that the fake coin is lighter than the rest, and in front of you is a balance scale. What is the least number of weightings you can use to find the counterfeit coin?

I want to fill my bucket using both cold and hot water.
I have two taps for both cold and hot water. The hot water tap fills the bucket in exact 6 hours and the cold water tap fills the bucket in exact 4 hours.
I turn both of them simultaneously but I forgot to turn off another tap which removes the water out of the bucket. This tap can empty the bucket in 12 hours.

How Long will it take to fill the bucket?

Which city is three-fifths chick two third cat and 50% goat?

My grandson is about as many days as my son in weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 120 years. Can you tell me my age in years ?

In the below-given picture of a pretty girl, there is something wrong. Can you find out what it is?

Find the number of squares in the below picture

I am a normal creature, but I have five hands. I can even have more but even then I will be considered normal.

Who am I?

It is raining today at 11:59 am. What is the probability of sunny weather after 72 hours?