0.9999999…….. = 1, true or false?
See Answer
Proof 1 for 0.999… = 1
x = 0.999...
10x = 9.999...
10x - x = 9.999... - 0.999...
9x = 9
x = 1
Proof 2 for 0.999… = 1
1/3 = 0.333...
3x(1/3) = 3x(0.333...) = 0.999...
1 = 0.999...
x = 0.999...
10x = 9.999...
10x - x = 9.999... - 0.999...
9x = 9
x = 1
1/3 = 0.333...
3x(1/3) = 3x(0.333...) = 0.999...
1 = 0.999...
Tina & Meena are twins. One of them lies while the other is truthful. I asked one of them,
“Does Tina lie?” “Yes”, was the answer.
Did I speak to Tina or Meena?
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Next number in the series will be 3263442.
How?
every number in the sequence= (previous number)x(previous number +1)
thus next number in this sequence will be 1806*1807 = 3263442.
If you have not tried its simpler version, try that first click here for Who is the thief puzzle part 1
A horse, a donkey and a camel were stolen.
Three suspects: Robert, Scott and Tommy. All we know that each person stole one animal, but we do not know who stole which. Here are the investigation statements.
Robert: Tommy stole the horse.
Scott: Tommy stole the donkey.
Tommy: They both were lying. I did not steal the horse or the donkey.
Later on, police found out =>
The man who stole the camel told a lie.
The man who stole the horse told the truth.
Can you find out who stole which?
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Numbers: 1, 5, 7 and 8.
Operators: +, -, * and /
You can use ( ) brackets as well.
Rules:-
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A prisoner is faced with a decision where he must open one of two doors. Behind each door is either a lady or a tiger. They may be both tigers, both ladies or one of each.
If the prisoner opens a door to find a lady he will marry her and if he opens a door to find a tiger he will be eaten alive. Of course, the prisoner would prefer to be married than eaten alive :).
Each of the doors has a statement written on it. The statement on door one says, “In this room there is a lady, and in the other room there is a tiger.”
The statement on door two says, “In one of these rooms there is a lady, and in one of these rooms there is a tiger.”
The prisoner is informed that one of the statements is true and one is false.
Which door should the Prisoner open?
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Its first digit is the number of occurrence of 0’s in the number.
Second digit is the number of occurrence of 1’s in the number.
Third digit is the number of occurrence of 2’s in the number.
4th digit is the number of occurrence of 3’s in the number.
and so on up to 10th digit(which is number of occurrence of 9’s in the number).
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Next number in the series will be 13.
How?
every number in this series is sum of previous two numbers, thus the next number should be 5 + 8 = 13.
This classic and very important series is called Fibonacci series.
There was a burglary in the Silver City jewelry store last Sunday.
Three suspects: Robert, Scott, and Tommy were caught and questioned.
Each person said, “One of the other two stole it. I did not do it.”
Later on the police found out that Tommy was lying and there was only one thief.
Can you guess who was the thief?
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