In the following sequence: [x, y, z, 5, 7, 16, 28] each number is equal to the sum of the three numbers preceding it. What is x+y?
Answer(s): C
First find z: z+5+7=16, therefore, z=4. Now, y+4+5=7 making y=(-2). Now we can find x: x+(-2)+4=5, so, x=3. Hence, x+y=3+(-2)=1.
John has $1,600 at the beginning of his trip, after spending money, he still has exactly $800 less than he spent on the trip. How much money does John still have?
Answer(s): B
John spends a sum of m dollars and still has m-800 left. So, m+m-800=1,600, and m=$1,200. Therefore, John still has $1,600-$1,200=$400.
The odds of winning first prize at the casino are 1 to 200. The odds of winning second prize are 1 to 100 and of winning third prize are 1 to 50. If no one person can win more than one of the prizes, what is the probability of not winning the first, second or third prize?
Calculate the odds of not winning first, second or third prize by deducting the chances of winning first, second or third from 1:
A cube has three of its faces painted half red, half white. The other three faces are completely painted white. What is the ratio between the total red painted and the total white painted areas of the cube?
Answer(s): E
The red painted area is 3 half faces and the white painted area is a total of 9 half faces. The ratio is, therefore, 1 to 3.
One out of every 500 light bulbs are defected. If 2 out of every 10 defected light bulbs have a broken glass and there are 20 broken glass light bulbs in the shipment, how many light bulbs total are there in the shipment?
Answer(s): D
Two out of every 10 damaged light bulbs have a broken glass, so if 20 bulbs have a broken glass, there are 100 damaged light bulbs. Since one out of every 500 is damaged, there are light bulbs in the shipment.
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