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How he sold the rice?
We need to find the amount of the rice that seller had before each of the customer came for purchasing.
Since, no rice left after he made 5th transaction, he must had 1kg rice before this transaction. Half kg is purchased by 5th customer and half kg is given as a discount.
Before 4th customer, seller must had x kg where (x - x/2) - 1/2 = 1 i.e. x = 3 kg.
Before 3rd customer, seller must had y kg where (y - y/2) - 1/2 = 3 i.e. y = 7 kg.
Before 2nd customer, seller must had z kg where (z - z/2) - 1/2 = 7 i.e. y = 15 kg.
Before 1st customer, seller must had a kg where (a - a/2) - 1/2 = 15 i.e. y =31 kg.
Hence, the seller must had 31kg of rice initially.
You are given 4 identical glasses, completely filled with transparent,
odorless liquids. Three of the liquids are pure water, and the fourth is
poison, which is slightly heavier. If the water glasses weigh 250 grams
each, and the poisoned glass weighs 260 grams, how can you figure out
which one is which, using a measuring scale just once?
Here is the process to identify the poisonous glass!
What was the challenge?
Let's number the 4 glasses as 1,2,3 and 4.
Here are steps to identify the glass with poisonous liquid in it.
1. Empty the glass 1 into another empty glass.
2. Take about 1/4th liquid from glass 2 and pour it into emptied glass 1.
3. Take 3/4th of liquid from glass 3 and pout it into glass 1.
Now, glass 1 has 1/4th of liquid from glass 2 and 3/4th from glass 3.
4. Now put glass 1 and glass 4 on the measuring scale.
4.1 - If it weighs exactly 500 gm then it suggests that glass 1 had poison.
4.2 - If it weighs between 500 - 505 grams (precisely 502.5 if exactly 1/4th of liquid was taken from glass 2 to glass 1) then obviously glass 2 is with poisonous liquid.
4.3 - If it
weighs between 505 - 510 grams (precisely 507.5 if exactly 3/4th of liquid was
taken from glass 3 to glass 1) then obviously glass 3 is with poisonous
liquid.
4.4 - If it weighs exactly 510 gm then it suggests that glass 4 has poison.
An eighty-year-old person was living alone in his house. On a sunny
Friday morning, while delivering some letters in the mailbox, the
postman felt suspicious and decided to look through the window of the
house. That’s when he saw the old man lying dead on the floor in a
puddle of blood. When the police arrived, they found three bottles of
milk, the Tuesday’s newspaper, and some gifts in front of the house. The
lock of the door was broken, and they already suspected a person.
Whom
and why?
He might be the murderer!
What was the incident?
The police suspected the newspaper straightaway.
Since there were 3 bottles of milk, it's clear that the old man died 3 days ago i.e. on Tuesday & milkman didn't have idea of it. Hence, he has dropped milk bottles there.
But the newspaper boy knew that the old man is no more in this world hence he didn't drop newspaper since Wednesday.
Your grandma’s wall clock chimes the appropriate number of times at
every whole hour, and also once every 15 minutes. If you hear the wall
clock chime once, how much more time do you need to figure out what the
time is, without looking at it?
This is the way to figure out the exact time!
Source
What was the challenge?
Since the clock chimes appropriate number of times at every whole hour, it's not difficult to predict the exact time after counting sounds but the exception of 1:00 AM/PM.
For example, if the first sound you heard at 4:30 AM then you will hear another sound at 4:45 AM and clock will strike 5 times at 5 AM by which you will easily know the exact time. So, even if you heard it at 15 minutes past any hour, you will need only 45 minutes to figure out the exact time.
But at 1:00 AM/PM the clock will strike only once & there the problem starts.
In worst condition, if you have heard first sound at 12:15 then clock will strike once for next 6 times at 12:30, 12:45, 1:00, 1:15, 1:30, 1:45. That is you will hear clock strike once for 7 consecutive times. So in worst condition, you need 1 hour and 30 minutes to figure out the exact time.
And if you hear the single strike for less than 7 consecutive times, then you can easily figure out the exact time.
