What occurs twice in a week, once in a year but never in a day?

Can you find a pattern and the missing number in the series given below?

100, 155, 258,? , 584, 819.

We know that the number 7 is the prime followed by a cube. Which next number is also a prime followed by a cube?

I have thought of a number that is made up by using all the ten digits just once. Here are a few clues for you to guess my number:

First digits is divisible by 1.
First two digits are divisible by 2.
First three digits are divisible by 3.
First four digits are divisible by 4.
First five digits are divisible by 5.
First six digits are divisible by 6.
First seven digits are divisible by 7.
First eight digits are divisible by 8.
First nine digits are divisible by 9.
The number is divisible by 10.

Can you find out the number ?

What does the below mathematical rebus mean?

Can you find out what is missing?

1 3 5
2 4 ?

Hint: It's not six. Think out of the box.

I am looking for a word that change both gender and number when i add the letter 'S'.

What Word am I Looking For ?

There are three Athletes (John, Tarun and Harish) and their individual Coaches (Jacob, Meenaxi and Priyanka) standing on the shore.
No Coach trusts their Athlete to be near any other Coach unless they are also with them.
There is a boat that can hold a maximum of two persons.
How can the six people get across the river?

When I go in I might cause pain. I cause you to spit and ask you not to swallow. I can fill your hole. What am I?

What is the below Rebus indicate?