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?

A beggar on the street can make one cigarette out of every 6 cigarette butts he finds. After one whole day of searching and checking public ashtrays the beggar finds a total of 72 cigarette butts. How many cigarettes can he make and smoke from the butts he found?

What begins with T, ends with T, and has T in it?

If a wheel has 54 spokes, how many spaces are there between the spokes?

Railroad Crossing, look out for the cars. Can you spell that, without any R's ?

A word I know,
Six letters contain,
Subtract just one,
And twelve is what remains.

Suppose that you are trapped on the surface of a frozen lake. The surface is so smooth and ideal that there is no friction at all. You cant make any grip on the ice and no wind is blowing to help you out. You have just a mobile phone with you which has got no reception disabling you to call for help.

How will you plan your escape before you freeze to death on the frozen lake?

John named his first son Alpha, second Beta, third Charlie and fourth Delta. What is the fifth son's name?

what does this below rebus represent identXQQQQQME

Two friends Smith and Andrew were talking about the bravery of their families. Smith told great stories about his courageous grandfather who fought for Britain in "World War I". Andrew told that his grandfather was so brave that in 1919 just after the war he was honoured with a bravery medal with the words "For our Courageous Soldiers In World War I" embedded into it. Smith knows that his friend is lying. How?