Wednesday, November 25, 2009

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Monday, November 23, 2009

PS 200

A car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. If the car traveled 6 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city?
(A) 14
(B) 16
(C) 21
(D) 22
(E) 27

PS 199

The product of the first twelve positive integers is divisible by all of the following EXCEPT
(A) 210
(B) 88
(C) 75
(D) 60
(E) 34

PS 198

If all of the telephone extensions in a certain company must be even numbers, and if each of the extensions uses all four of the digits 1, 2, 3, and 6, what is the greatest number of four-digit extensions that the company can have?
(A) 4
(B) 6
(C) 12
(D) 16
(E) 24

PS 197

A certain fraction is equivalent to 2/5 . If the numerator of the fraction is increased by 4 and the denominator is doubled, the new fraction is equivalent to 1/3 . What is the sum of the numerator and denominator of the original fraction?
(A) 49
(B) 35
(C) 28
(D) 26
(E) 21

PS 196



. The formulas above are used to compute the distance a car travels after the brakes are applied. If the driver of a car applied the brakes just as a traffic light turned yellow and stopped exactly 6 seconds later, what is the value of v ?
(A) 20
(B) 80/3
(C) 30
(D) 40
(E) 60

PS 195

A certain used-book dealer sells paperback books at 3 times dealer's cost and hardback books at 4 times dealer's cost. Last week the dealer sold a total of 120 books, each of which had cost the dealer $1. If the gross profit (sales revenue minus dealer's cost) on the sale of all of these books was $300, how many of the books sold were paperbacks?
(A) 40
(B) 60
(C) 75
(D) 90
(E) 100

PS 194

For a group of n people, k of whom are of the same sex, the expression (n-k)/n yields an index for a certain phenomenon in group dynamics for members of that sex. For a group that consists of 20 people, 4 of whom are females, by how much does the index for the females exceed the index for the males in the group?
(A) 0.05
(B) 0.0625
(C) 0.2
(D) 0.25
(E) 0.6

PS 193



then x =
(A) -3
(B) 3
(C) 4
(D) 5
(E) 9

PS 192

A square picture frame has an outer perimeter of 36 inches and is 1 inch wide on all sides. What is the inner perimeter of the frame, in inches?
(A) 27
(B) 27 and 1/2
(C) 28
(D) 31 and 1/2
(E) 32

PS 191

If the sum of two integers is 6, then it must be true that
(A) both integers are even
(B) both integers are odd
(C) both integers are positive
(D) if one integer is negative, the other is positive
(E) if one integer is positive, the other is negative

PS 190

The numbers in which of the following pairs do NOT have a pair of distinct prime divisors in common ?
(A) 10 and 20
(B) 12 and 18
(C) 24 and 32
(D) 21 and 63
(E) 22 and 88

PS 189



The table above shows the various charges made by two companies for the same air conditioner. What is the total amount that can be saved on the purchase and installation of the air conditioner by dealing with the company that offers the lower total charge?
(A) $41.60
(B) $45.00
(C) $50.75
(D) $55.75
(E) $61.25

PS 188

Which of the following equals the ratio of 10/3 to 4/3 ?
(A)1 : 3
(B)2 : 5
(C)5 : 2
(D)3 : 1
(E)40 : 9

PS 187

PS 186

PS 185

In the manufacture of a certain product, 5 percent of the units produced are defective and 4 percent of the defective units are shipped for sale. What percent of the units produced are defective units that are shipped for sale?
(A) 0.125%
(B) 0.2%
(C) 0.8%
(D) 1.25%
(E) 2.0%

PS 184

If a hiker walks at a constant speed of 3/2 miles per hour, how many miles can the hiker walk in 4 hours and 12 minutes ?
(A)10.0
(B)10.3
(C)10.4
(D)10.5
(E)10.8

PS 183

On a certain test, 3 students each had a score of 90, 9 students each had a score of 80, 4 students each had a score of 70, and 4 students each had a score of 60. What was the average (arithmetic mean) score for the 20 students ?
(A) 70.5
(B) 75.0
(C) 75.5
(D) 80.0
(E) 80.5

PS 182

–2 (– 4 – (– 3 + 5)) =
(A) – 16
(B) – 10
(C) 6
(D) 12
(E) 16