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

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

For this puzzle, you might have to find logic in something illogical. But hey, it's fun and a healthy little break from your strenuous puzzle-solving sessions.

Can you decipher the meaning in the following cluster of letters?

ITIT,NCENTCENT

If 1+9+8=1, what is 2+8+9?

If,

A = 1

B = 2

C = 3

...

...

Z = 26.

Based on above rule, you need to find an eleven letter word whose letter sum is equal to 52.

Which digit occurred maximum times between the number 1 and 1000?

A bomb exploded in a room full of married couples and no one died. How?

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?

The below given figure comprises of a pattern through which you can determine the missing letter. Can you push your mind to find the pattern and add the missing letter?

The product of three consecutive numbers is 7980.
Then the sum of these consecutive numbers would be?