Dear All,
the following questions appeared on the practice tests. Unfortunately, they dont have explanations on those tests. Appreciate if someone would help me out in determinig the answer:
1) for which of the following functions is f(x)=f(x-1) for all x?
a) f(x)=x^2(1-x)^2
b) f(x)=1-x
c) f(x)=1-x^2
2)if n is a positive integer and the product of all the integers from 1 to n inclusive is a multiple of 990, what is the least possible value of n?
3) Three grades of milk are 1, 2, and 3 percent by volume. if x gallons of the 1% grade, y gallons of the 2% grade and z gallons of the 3% grade are mixed to give x+y+z gallons of 1.5% grade, what is x in terms of y and z?
Thanks,
the following questions appeared on the practice tests. Unfortunately, they dont have explanations on those tests. Appreciate if someone would help me out in determinig the answer:
1) for which of the following functions is f(x)=f(x-1) for all x?
a) f(x)=x^2(1-x)^2
b) f(x)=1-x
c) f(x)=1-x^2
2)if n is a positive integer and the product of all the integers from 1 to n inclusive is a multiple of 990, what is the least possible value of n?
3) Three grades of milk are 1, 2, and 3 percent by volume. if x gallons of the 1% grade, y gallons of the 2% grade and z gallons of the 3% grade are mixed to give x+y+z gallons of 1.5% grade, what is x in terms of y and z?
Thanks,
