What will be the best approach to finding all the prime numbers less than 75 that leave an odd reminder when we divide them with 5?

Imagine you are in a room with no windows or doors. How will you get out?

Decode below three cipher riddles:

26 L of the A
7 D of the W
1000 Y in a M

Solve this riddle by finding the odd one out from the rest.

One day, I thought of ways that can be used for creating a palindrome. So I decided that I will turn into a larger number by adding the reversed digits to the original number and keep doing it till I finally obtained a palindrome.

I am not sure if this process will always result in a palindrome eventually but I was able to produce a four-digit palindrome. Can you guess my starting number?

The following alphametic has only one solution. Can you find it?
ENLIST + SILENT + LISTEN = ANAGRAM

PS: You may start the number from 0.

There are seven sisters in a house in a village where there is no electricity or any gadget.

Sister-1: Reading Novel
Sister-2: Cooking
Sister-3: Playing Chess
Sister-4: Playing Sudoku
Sister-5: Washing clothes
Sister-6: Gardening

what is Sister-7 doing ?

What is a word made up of 4 letters, yet is also made up of 3. Sometimes is written with 9 letters, and then with 4. Rarely consists of 6, and never is written with 5.

With the help clues provided in the image, can you find the 5 digit key?

What does the below rebus puzzle mean?