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?

You may enter, but you may not come in. I have space, but no room. I have keys, but open no lock. What am I?

At my favorite fruit stand,
an orange costs 18,
a pineapple costs 27,
and a grape costs 15.
Using the same logic, can you tell how much a mango costs?

A cat, a dog and a monkey were stolen. 3 suspects got caught: Harish, Manoj and Tarun. All we know is each person stole one animal, but we do not know who stole which. Here are the investigation statements. Harish said: Tarun stole the cat. Manoj said: Tarun stole the dog. Tarun said: They both were lying. I did not steal the cat or the dog. Later on, the police found out the man who stole the monkey told a lie. The man who stole the cat told the truth. Can you find out who stole which?

No matter how little or how much you use me, you change me every month. What am I?

The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. Find how much younger is the new member ?

Can you replace the question mark with the correct number in the below table sequence?

A man and a dog were going down the street. The man rode, yet walked. What was the dog’s name?

Decode the below four famous ciphers:

8P of the SS
1M of the E
1S of the SS
60M in 1H

A pregnant woman is preparing to name her seventh child. Her children's names so far are Dominique, Regis, Michelle, Fawn, Sophie, and Lara. What will she name her next child -- Jessica, Katie, Abby or Tilly?