What is the longest word in the dictionary
Smiles (there is a mile between the two S's)
What is the next number in this series, 1, 11, 21, 1211, 111221 , 312211 ?
Next in sequence is 13112221.
This series describes each number that came before it:
11 [One One]
21 [Two One(s)]
1211 [One Two and One One(s)]
111221 [One One, One Two, and Two One(s)]
312211 [Three One(s), Two Two(s), and One One]
The next number in the series is:
13112221 [One Three, One One, Two Two(s), Two One(s)]
Tarun Asthaniya is found dead in his office at his desk. The police have narrowed the suspects down to three people: Mrs. Harish Kumar, Taruns wife Himanshi Asthaniya and his buisness partner Mr. Jason Negi . All three visited Tarun on the day of his murder, but all three provide the police with stories of explanation as to the reason for their visit.
Police found Mr. tarun with his wrist watch still on his right arm, a torn up picture of his wife laying on the floor beside the trash can, and an ink pen in his right hand. On the desk, the police found a name plate, a telephone that was off the hook, and a personal calendar turned to the July 5th page with 7B91011 written on it. After examining this evidence, the police knew their suspect. Who was it ?
the number on the calendar was written in a hurry , police matched the written number with the months of the year. So the B was an 8, thereby giving us 7-8-9-10-11: July, August, September, October, November. Use the first letter of each month and it spells J-A-S-O-N.
There are five men, let's say Tarun Harish Lavesh, Manoj, and Manish. All of them have a dot mark in their forehead. They can't see the dot on their own forehead, but can see the ones on others. The owner of WHITE dot is an honest person and will never lie, while the owner of BLACK dot always tell the lie.
This is the statement from Tarun Harish Lavesh, and Manish:
Tarun: 'I see 3 whites and 1 black'
Harish: 'I see 4 black'
Lavesh: 'I see 3 black and 1 white'
Manish: 'I see 4 white'
What color is the dot on each Tarun Harish Lavesh, Manoj, Manish forehead?
Tarun Harish Lavesh, and Mansih stated a contradiction statement, so only one of them can said the truth.
We don't know yet where Manoj stands, it's still possible that he has black or white color.
Thus, the maximum possibility of white dots are 2, that is Manoj and 1 of Tarun Harish Lavesh, and Manish.
Tarun and Manish obviously told the lie, as they said there are 3 and 4 person has white dot, which leave us Harish and Lavesh .
Assuming Harish is white, then he must be telling the truth that he saw 4 black dots, which makes Lavesh a liar. This is an impossible situation, since Lavesh saw 3 black and 1 white (Lavesh has to be a liar, so there must be more than 1 white, meaning it's impossible Harish saw 4 blacks).
The only possibility is Lavesh told the truth.
So, Tarun Harish Manish have black dots, while Lavesh and Manoj have white dots.