1. A person has vision of 1 inch. Walking along the side of a square (length of sides = 5 inches ). Calculate the area of the person's total vision. 2. If driving at 40m/h, will be 3 mins late. If driving at 60 m/h will be 3 mins early. Calculate the speed to drive in order to be on time. 3. 2 colors(blue and red) to paint one dice. Calculate probability to have same color create a ring on the surface.
1-10000, integers with "7".
1. if a coin is tossed the probability of getting head is 1/4. Let's say we toss the coin n times and the probability of getting two head and the probability of getting 3 head is the same. What is n? 2. The first number is sqrt of 3 , the third root of 3 and the 6th root of 3. What is the fourth number? I think I f up on both questions. I don't think they will call me for the next process
3 dices, what's the probability that the sum of the two dices equals to the third dice?
1. How many positive integers that <= 2001 can be evenly divided by 3 and 4 but not 5? 2. We have a string that's 20 cm in length, we'll cut it into 2 pieces and use one to form a square and another a circle. We want to minimize the total area so where to cut? 3. We'll draw a segment on each of the six faces of a cube, each from one midpoint of an edge to the midpoint of the opposite edge(so either horizontal or vertical). After this is done, what's the possibility of a ring appears around this cube?
5 dices, each has 6 sides. The probability of 4 same sides for one time.
1st interview: --Six horses, labeled 1, 2, 3, 4, 6. They take 1, 2, 3, 4, 6 mins to complete a circle, respectively. If started simultaneously when will they be at the starting position again? --Boxes labeled 1, 2, ... and so on. 1st box has 1 black marble and 1 white marble, 2nd box has 1 black and 2 white, 3rd box has 1 black and 3 white... and so on. If you open a pick a marble randomly, you move to the next box if the marble is white. Calculate the probability that the process would stop at the N'th box. 2st interview: --Why do you want to work here? --What did you achieve in your PhD? --(x+y)^2=4 and (x-y)^2=4, what is x^2+y^2? (I don't remember this exactly. Numbers might be off.) --A small ring rolls on a clock. If there was a pointer on the small ring and the ring starts rolling along the surface of the clock, when will the pointer point in the same direction again? 3st interview (Basic concepts were explained before each question): -- Calculate the fold (it's a seismic term) for a specific geometry of ship sending a signal at a constant velocity after each fixed time interval. -- Draw an auto-correlation of a square wave.
When can you start to work?
How many 3 digit odd numbers are a multiple of 3 but does not contain digit 3?
Whoever counts to 100 first will be the winner. You start first with a number of either 1 or 2, and then the other adds either 1 or 2 to your number and so on. Design a game so that you can always win.
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