Eighty percent of the lights at Hotel California are on at 8 p.m. a certain evening. However, forty percent of the lights that are supposed to be off are actually on and ten percent of the lights that are supposed to be on are actually off. What percent of the lights that are on are supposed to be off?

a.22(2/9)%
b.16(2/3)%
c.11(1/9)%
d. 10%
e. 5%

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Three grades of milk are 1 percent, 2 percent and 3 percent fat by volume. If x gallons of 1 percent grade, y gallons of 2 percent grade and z gallons of 3 percent grade are mixed to give x+y+z gallons of 1.5 percent grade, what is x in terms of y and z?

A. y + 3z
B. (y+z)/4
C. 2y + 3z
D. 3y + z
E. 3y + 4.5z

A vessel is filled with a liquid in which 5 parts are milk and 3 parts are water. What fraction of mixture must be drawn off are replaced with water. So that the mixture may be half water and half milk.

a) 1/2
b) 1/3
c) 2/3
d) 1/5
e) 1/8

A spider eats 3 flies a day. Until the spider fill its quota, a fly has 50% chance of survival if it attempts to pass the web. Assuming 5 flies have already made the attempt to pass, what is the probability that the 6th fly will survive the attempt.

a) 0 %

b) 25 %

c) 50%

d) 75%

e) 100%

Miguel is mixing up a salad dressing. Regardless of the number of servings, the recipe requires that 5/8 of the finished dressing mix be olive oil, 1/4 vinegar, and the remainder an even mixture of salt, pepper and sugar. If Miguel accidentally doubles the vinegar and forgets the sugar altogether, what proportion of the botched dressing will be olive oil?

a) 15/29
b) 5/8
c) 5/16
d) 1/2
e) 13/27