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A man and two gates

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One day a man woke up from sleep to find that he was at an unknown place away from his home.He walked certain distance to reach a bifurcation.Two roads bifurcated at that point one would lead him to his home and the other would lead him to certain death…now his dilemma was this…two man stood at each road.one would always speak truth, the other always lie.They informed him that he could ask just one question to any of them but did not tell him who was who.So,what question he would had asked to reach home safe ?

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Product of 5 different temperatures

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Number Puzzle #66
The product of 5 different temperatures is 12. If all of them are integers then find all the temperatures.


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product of 5 different integers is 12.

Lets consider first product of first 3 smallest integers
1*2*3 = 6
Now if we take the next smallest intege i.e. 4 then the product will become 24 thus we need to go back and consider negative numbers

thus (-2)*(-1)*1*2*3 = 12.

How many toffee’s you can get in Rs.15

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Number Puzzle #65
Cost of one toffee is Rs.1 and as a special promotion scheme you get 1 toffee free for three wrappers.
How many toffee’s you can get in Rs.15?


–In Hindi– 1 rs ki ek toffee. 3 wrappers k sath ek aur toffee milti hai.. u’v got Rs.15.. how many total toffee’s u get?

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First of all you get 15 toffee in Rs.15, then you get 15/3 = 5 toffees from 15 wrappers.

Now you have 5 wrappers => 1 toffee + 2 wrappers => 3 wrappers => 1 toffee
Total number of toffees you get => 15 + 5 + 1 + 1 => 22 toffee’s.

Next number in the series 1, 11, 21, 1211

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Number Puzzle #64

What will be the next number in the series?

Next number in series 1, 11, 21, 1211, 111221

Next number in series 1, 11, 21, 1211, 111221


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Hint: If you really need
Next number is : 312211, Now can you guess the next number?
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See Answer with Explanation
Here we need to count the number of individual digits, how many 1’s, how many 2’s etc.
for example
1 => one 1 => 11
11 => two 1 => 21
21 => one 2 one 1 => 1211
Thus to get 5th number in the series
111221 => three 1 two 2 one 1 => 312211
And to get the sixth number in the series
312211 => one 3 one 1 two 2 two 1=> 13112221

If 11 + 11 = 8, 12 + 12 = 12

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Number Puzzle # 63

If 11 + 11 = 8, 12 + 12 = 12, 13 + 13 = 16 14 + 14 = 16 Then 16 + 16 = ?

If
11 + 11 = 8,
12 + 12 = 12,
13 + 13 = 16
14 + 14 = 20
Then
16 + 16 = ?


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See Explanation
Answer is 28
How?
Right side number is equal to the sum of the digits on left side multiplied by 2
for ex.
11 + 11 => (1+1+1+1)*2
Thus
16 + 16 => (1+6+1+6)*2 = 28.

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