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

Rose, Lily and Jasmine decided to buy flowers for their moms on Mother's Day. One of them bought lilies, the other roses, and the third one jasmines.
'It's funny!' said the girl with roses, 'we bought roses, jasmines and lilies, but none of us bought the flowers matching her name'.
'You're right!', said Lily.
What kind of flowers did each of the girls buy?

You have two strings whose only known property is that when you light one end of either string it takes exactly one hour to burn. The rate at which the strings will burn is completely random and each string is different. How do you measure 45 minutes?

They are three errirs in this question. Can you find them?

Can you make four (4) nines (9) equal 100?

Can you find the next number in the below sequence
3 , 7 , 10 , 11 , 12 , 17 ?

Solve the following series:
AZ, GT, MN, __, YB

I have some blue and red sock in my drawer. I have a total of 4 socks. I pick 2 socks and the chance that I get a pair of red socks is 1/2.

What is the chance of picking a pair of blue socks?

My sock drawer has 26 blue socks, 13 pink socks, 33 green socks, and 12 red socks, how many socks would I have to pull out in the dark to be sure I had a matching pair?

Use only one mathematical symbol and all numbers (0-9) to get a sum of 99