2, 3, 5, 9, 17, _ What is the next number in the sequence?

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

What's the best place to go shopping in the ocean?

I am an odd number. Take away a letter and I become even. What number am I?

How many times do a clock's hands overlap in a day ?

Christina, Allison and Lena are 3 daughters of John a well-known Mathematician, When I asked John the age of their daughters. He replied "The current age of her daughters is prime. Also, the difference between their ages is also prime."

How old are the daughters?

Spot the cat in the picture below

Can you find out the number of the parking space in which the car is parked?

There is a bag which have 21 blue balls and 23 red balls. You also have 22 red balls outside the bag. Randomly remove two balls from the bag. * If they are of different colors, put the blue one back in the bag. * If they are the same colour, take them out and put a red ball back in the bag. Repeat this until only one ball remains in the bag. What is the color of the sole ball left in the bag ?

John has eleven friends. He has a bowl containing eleven apples. Now He wants to divide the eleven apples among his friends, in such a way that an apple should remain in his bowl.
How can He do it?