Puzzle - 1

Crack the Code

Neha while on an adventure, had been kidnapped and held captive in a secret room. Do you think you could help Neha break out from captivity with the help of a few clues?

Here are the clues given to Neha

I am a 4 digit number.

1st digit is half of the 4th digit.

3rd and 4th digits are the same.

 2nd digit has no value

3rd digit is even and has 1,2,3 and 6 as its factors.



Given 3rd digit has the factors 1,2,3 and 6.
So, a single digit with 1,2,3 and 6 as factors is 6.
Also, the 3rd digit is equal to the 4th digit.
So, the fourth digit is also equal to 6.
1st digit is half of the 4th digit, Implies 1st digit = 4th digit/2, Therefore, 1st digit = 3
We know that '0' is the only digit with no value.
So, our 2nd digit has to be 0.
Placing all the digits together we get 3066.