What is common among 11, 69, and 88?

In a supermarket, there is an intelligent glass pane before a refrigerating unit. This glass pane allows cherries and apples through it but does not allow grapes and Orange to pass through it.

Can you identify the rule that the glass pane is following?

I am white when I am dirty, and black when I am clean. What am I?

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?

Can you find out the remainder when 3^300 is divided by 5?

Find The Next Number in this series.
1, 2, 6, 42, 1806 ?

What three numbers, none of which is zero, give the same result whether they’re added or multiplied?

There are four 3-link chains. All you have to do is join them into a big 12-link chain. For joining two closed links, one of the links must be cut and placed onto the other link for closing.

How many minimum links will you have to cut to make the big chain?

There are nine letters in the below-given diagram. You have to form a nine-letter word using these letters.

Through your logical capabilities, can you make 7 an even?