Athenahealth Company Numerical Ability

A rectangular ground is to be filled with square tiles of unit area. The border of the ground should be of red coloured tiles and inside white. If the number of red and white tiles are the same, find the minimum dimensions of the ground.

Read Solution (Total 5)

Let us consider R for RED & W for WHITE

[R01][R02][R03][R04][R05][R06][R07][R08]
[R24][W01][W02][W03][W04][W05][W06][R09]
[R23][W07][W08][W09][W10][W11][W12][R10]
[R22][W13][W14][W15][W16][W17][W18][R11]
[R21][W19][W20][W21][W22][W23][W24][R12]
[R20][R19][R18][R17][R16][R15][R14][R13]

In this rectangle there are 24 RED & 24 WHITE.
So the dimension is (6*8) or (8*6).
Total number of tiles is 48.
10 years agoHelpfull: Yes(7) No(0)

48=6*8
area must be equal,(i.e. area covered by strip should be equal to area not covered by strip)
10 years agoHelpfull: Yes(3) No(3)
40.that is square.because square also a rectangle.
10 years agoHelpfull: Yes(2) No(2)
dimensions are 8*6 = 48.
where red =24 and white = 24. area is 48.
10 years agoHelpfull: Yes(1) No(0)
16 red 16 white
lenth=6
bredth=4

arrange 6red lenghwise both top and bottom which already takes two blocks of breadth. fill rest 2 breadth wise. Now there is 4X$ space left where white blocks are filled.
Thus = 16 red and 16 white is minimal dimensions
10 years agoHelpfull: Yes(1) No(3)

Athenahealth Other Question

A man visits a shopping mall almost every day and he walks up an up-going escalator that connects the ground and the first floor. If he walks up the escalator step by step it takes him 16 steps to reach the first floor. One day he doubles his stride length (walks up climbing two steps at a time) and it takes him 12 steps to reach the first floor. 3 pirates have to decide how to divide their loot of 100 gold coins. The rules are as follow:

* The most senior pirate gets to propose a way to divide the loot.

* Each pirate, including the most senior pirate himself gets to vote.

* If the majority agrees with the proposal, the loot will be divided as suggested.

* In the case of a tie, the proposal will be accepted.

* If the majority disagrees, the most senior pirate will be killed. The next most senior pirate gets to suggest. The process continues.

Now, you’re the most senior pirate out of the three. How are you going to divide the coins so that you get the biggest share possible?