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?

I have branches, but no fruit, trunk or leaves. What am I?

I have a mouth but I don't eat.
I have a bank but have no money.
I have a bed but i dont sleep.
I wave but have no hands.

Who Am I ?

What is the word or phrase?

Find the next number in the series.
1 10 24 43 67 ?

Find the next number in the sequence

1, 2, 6, 21, 88, __?

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

When I asked a girl's name she told me her name is the date '07/09/2001'.

I thought for a few seconds and then I got her name. Do you?

Katniss and Peeta are liars. They both lie on some specific days.

Katniss lies on Fridays, Saturdays and Sundays. She speaks the truth on all other days.

Peeta lies on Tuesdays, Wednesdays and Thursdays. He speaks the truth on all other days.

Can you tell that one day of the week when both of them will say "Tomorrow, I will lie."?

Can you find the odd number in the following five choices?

1) 482636
2) 259807
3) 865195
4) 104739
5) 391744