Hard Math Riddles

The fifth richest man in the Baker Street named Mr. Bill Richman is kidnapped. Sherlock Holmes is appointed on the case. At the crime scene, a note is found written by Mr. Richman. The note read:
"First of January, Fourth of October, Fifth of March, Third of June."
Sherlock knew that somehow, the killer name was hidden in the note. The following were the suspects:
Jack Richman, the son and the heir of property.
John Jacobson, the employee of Richman.
June Richman, the wife of Richman.

Sherlock took only a few moments to deduce the killer name. Can you tell who was the killer?

Fate has decided that you will only be pleased to meet me when you need me

May be thats why, when I am working, I start working

However annoying I may be to the regulars, the little ones are always inspired

I will always be waiting, if you try to reach me

How many of you can guess my name, let me see

I am under you when I am whole.
I shift above you if you remove the first letter.
I come all around you if you remove the second as well.

Can you tell me who I am?

Two fathers and two sons decided to go to a shop and bought some sweets upon reaching. Each of them bought 1 kg of sweet. All of them returned home after sometime and found out that they had 3kg of sweets with them.

They did not eat the sweets in way, nor did they threw or lost anything. Then, how can this be possible?

A man embarked on a questionnaire game. He kept asking the same question to whomever he found. The answer each time was different.

Can you guess what the question was?

Outside a massage parlor there is a board that reads "I only massage those who do not massage themselves."

Reading above statement, does the masseur massages himself?

Shweta is learning to drive her new car. She went down a one way lane and in the wrong direction. But she do not break any law.

How come ?

A train full of passengers goes through a tunnel. When the train comes out from the other end, there is no single person on the train.

How did it happen ?

Riya can place six large boxes or nine small boxes into a carton.

Can you find out in how many cartons can she place sixty-six boxes in total ?

Aman is having 1.15 rupees in his pocket. There are a total of 6 coins in his pocket.

When his friend asked him for a change, he was unable to given change for a rupee and five paisa.


Can you tell which coins did he have?