# What will be the product of all the six digit ?

+2 votes
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A six digit number has the maximum number of possibilities of perfect square as given below
1. First digit is a perfect square
2. Second digit is a perfect square
3. Third digit is a perfect square
4. Number formed by first and second digit in order is perfect square
5. Number formed by third and fourth digit in order is perfect square
6. Number formed by fifth and sixth digit in order is perfect square
7.Number formed by last three digit in order is perfect square
Here sixth digit means the units place.
All the digits in the number are different and non zero.

What will be the product of all the six digit ?

posted Jan 22, 2015
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## 2 Answers

+3 votes

According to 4th condition - it will only be 49
According to 5th condition and 2nd condition-it will be 16
According to 6th and 7th condition- it will be 625 since last two digits are perfect square
so 6 digits are 491625
so product of all 6 digit will be `2160`

answer Jan 22, 2015
+1 vote

491625
product is 2160

answer Jan 22, 2015 by anonymous

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