Efrida and Frazer who live 10 miles apart, meet at a restaurant that is directly north of Efrida's home and directly east of Frazer's home. If the restaurant is three miles closer to Efrida's home, than to Frazer's home, how many miles is the restaurant from Frazer's home?
Options:
(A) 6
(B) 7
(C) 8
(D) 10
(E) 11

It's a simple geometry problem. Look at the diagram below: So the answer is: (B).

If C is the temperature in degrees Celsins and F is the temperature in degrees Fahrenheit, then the relationship between temperatures on the two scales is expressed by the equation 9C=5(F-32). In a weekly range of temperature recorded at a certain weather station differed by 25 degrees on the Fahrenheit scale, by how many degrees did the temperature extremes differ on the Celsius scale?
Options:
(A) a)  65/9
(B) b)  13
(C) c)  25
(D) d)  45
(E) e)  81

The relationship is 9/5 - 32, so approximately half of difference in Celsius (the -32 part won't be used in this case). Just looking at the answer choices you can pick B which is the only number near half of 25. The other answer choices are too far apart so no need to calculate. So the answer is: (B).

Which one of the following is not a prime number?
Options:
(A) 31
(B) 61
(C) 71
(D) 73
(E) 91

91 is divisible by 7. So, it is not a prime number. So the answer is: (D).

If f(x) = x^3/(x^5 - 1), what is f(1/x) in terms of f(x)?
Options:
(A) -f(x) 
(B) 1/f(x) 
(C) 2/f(x) 
(D) 3/f(x) 
(E) f(x) 


If x = 2 then f(x) = 8/31 and f(1/x) = -8/31 which is equal to -f(x) So the answer is: (A).