Sum Of All Three Digit Numbers (no Digit Being Zero) Having The Property That All Digit Are Perfect Squares, Is

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Question

Sum of all three digit numbers (no digit being zero) having the property that all digit are perfect squares, is

Solution

Correct option is

13986

∴ Sum due to 1 at unit’s place is 1 × 9. Similarly.  

Sum due to 1 at ten’s place is 1 × 10 × 9 and sum due to 1 at hundred’s place is 1 × 100 × 9. We can deal with the digit 4 and 9 in a   similar way. 

Thus, sum of the desired number is  

       .

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