Brainsteem Quickfire Q4 [Win 40% and 10% in SBD]

in #mathematics7 years ago

Brainsteem Quickfire questions is a series of slightly easier, certainly faster, mathematical challenges in the Brainsteem family!

Winner will get 40% of earnings in SBD!

Second prize is 10% of earnings in SBD to one person selected randomly from all other correct solutions!


The Question

Here is a tiny cross-number puzzle

1 Across is a cube

3 Across is a square

1 Down is a square

2 Down is a cube

All four 3-digit numbers must be different.

Your final answer is: What is the sum of the four 3-digit numbers?

Easy!


The Prizes

To qualify you must upvote this post and write the answer in a comment.

To win First Prize you must include the answer and a valid method.

The First Prize will be 40% of the earnings generated by this post, paid in SBD.

The Second Prize will be 10% of the earnings generated by this post, awarded to any other correct answer in the comments section, chosen at random and paid in SBD.

Also remember that your upvote generates curation rewards for you and that 25% of all earnings are given to upvoters.

Prizes will be awarded after the 7 days have expired. Winners will be announced in the comments below after the draw.

The Prizes will increase with more participation and as the earnings increase.

The main thing is to enjoy the challenge and maybe learn something new.


Come and check out other challenges currently live!

Brainsteem Quickfire Q3 [Win 2 SBD + 1 SBD]

Brainsteem #8 Prize Maths Puzzle [Win 2SBD+1SBD]

Brainsteem Compute #1 Prize Computational Maths Puzzle [Win 40% and 10% in SBD]

Science Cryptic Crossword SCX1 [Win 10 SBD Prize]

Brainsteem #7 Prize Maths Puzzle [Win 2SBD+1SBD]

Brainsteem #6 Prize Maths Puzzle [Win 2SBD+1SBD]


Please upvote if you like the puzzle, resteem it for others and follow me for more Brainsteems!

And don't forget to upvote each other's comments to bring cheer to the whole community!

Sort:  

dang u r alwasy posting questions when im not there :'(

I've been trying to get eSteem to work so that I can schedule posts in the future - I have to sleep too! - but can't get it to work yet. Sorry. At what times are you online?

oops dont take the words too seriously haha~~
Im not complaining but joking :p

temp.png
ans is 1980 as they already worked out :)

1980 thanks.

It would be easier to start with cube, as there is only 5 3-digit cubes (i.e. 125,216,343,512,729).
Note that 1 Across and 2 Down is cube.
There is two possible solution pair: 125 with 512 or 512 with 216.
However, 125 with 512 is not possible because "3 Across is square" and it would not end with 2.

1 Down start with 5. It must be either 529 (23 square) or 576 (24 square).
As we can find that there is no square start with 9 and end with 6, 1 Down and 3 Across must be 576 and 676 respectively.

The required sum= 576+676+512+216= 1980