I am thinking of a 6-digit number. The sum of the digits is 43.

And only two of the following three statements about the number are true:

(1) it's a square number,
(2) it's a cube number, and
(3) the number is under 500000.

Question

I am thinking of a 6-digit number. The sum of the digits is 43.

And only two of the following three statements about the number are true:

(1) it's a square number,
(2) it's a cube number, and
(3) the number is under 500000.

parthkohli · Answer

You can see that (3) is not true. It can be more than 500000.

parthkohli · Answer

So that leaves two...

shubhamsrg · Answer

@ParthKohli i dont understand your logic ?

shubhamsrg · Answer

3 can be true..