Athenahealth Technical Interview Question

“I am so glad you pointed out your need for diversity at athenahealth, Inc.. I greatly value diversity. I grew up in a fairly homogeneous town in Montana. When I hit my 20s, it was so important to me to learn about other cultures. I worked with community volunteer organizations in Peru, inner-city Chicago, and Russia.”

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Now there can be two solutions to the given situation because there can be two situations: Suppose if B and C have same colors, A will know that his color is the other one and he will be able to speak up the first. Now if B and C do not have same colors, A will stay silent. This will tell B that his and Cs colors are different. Thus he will speak up first. So either A or B will speak up first depending on the situation.

1 2 3 4 5 6 and 7 8 6 Since summation of numbers 1-9(1 2 3 4 5 6 7 8 9) is 45 , so its impossible to divide into two equal parts. Since we cant flip over 6 to make it 9 but we can flip 9 to make it 6 and hence the solution

45 minutes Explanation : All you have to do is burn the first rope from both the ends and the second rope from one end only simultaneously. The first rope will burn in 30 minutes (half of an hour since we burned from both sides) while the other rope would have burnt half. At this moment, light the second rope from the other end as well. Where, the second rope would have taken half an hour more to burn completely, it will take just 15 minutes as we have lit it from the other end too. Thus you have successfully calculated 30+15 = 45 minutes with the help of the two given ropes.

The answer is very simple. All she had to do is take the fifteen cards from the top and reverse them. This would make another pile out of that and there will be two piles – one of 15 cards and one of 37 cards. Also both of them will have the same number of inverted cards. Just think about it and if the mathematical explanation will help you understand better, here it is. Assume that there were p inverted cards initially in the top 15 cards. Then the remaining 37 cards will hold 15-p inverted cards. Now when she reverses the 15 cards on the top, the number of inverted cards will become 15-p and thus the number of inverted cards in both of the piles will become same.