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SECTION 7 QUANTITATIVE ABILITY
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48 Questions 40 Minutes 5 expressed as a fraction is 7 20 7 C 33 7 D 45 7 1 The mixed number 4 A 2 4 A 5 7 5 3 2 = 6 4 12 25 B 25 12 C 29 6 D 11 12
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PART VIII: PCAT PRACTICE TEST
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3 A student obtained an average of 86 for a series of seven assignments Six of the grades were 85, 78, 83, 91, 89, and 86 The grade of the seventh assignment is A 74 B 86 C 90 D 98 4 A full-time employee works 40 hours during a ve-day week The percentage of a ve-day week that the employee is at work is A 20% B 33% C 40% D 50% 5 (24 106) (12 103) = B 20 104 A 20 103 6 352 416 = A 13213
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C 20 103
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D 20 106
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B 13312
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C 13320
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D 13023
7 Express in scienti c notation: 139 B 139 101 A 139 10 1
C 139 10 1
D 139 101
8 The ratio of boys to girls in the graduating class of a school is 3:2 If there are a total of 430 students in the class, how many girls are in the graduating class A 74 B 86 C 172 D 215 9 (6x2y5z3) (3x2y3z6) = A z2 2y3 B y2 2z3 C 2y2 z3 D 2z2 y3
10 Solve for x: A 7
x2 + x 42 =1 x+7 B 2
C 6
D 7
11 What are the roots of the equation x2 7x 18 = 0 A 45, 1 B 2, 45 C 35, 8
D 1, 45
PART VIII: PCAT PRACTICE TEST
12 (4a2b4c) ( 7a5b3) = B 28a7b7c A 11a7b7c
C 28a7b7c
D a7b7c
13 What is the sum of the following polynomials 5x + 3xy 6y2, 9xy + 7y2 4x and 8y2 + 7x + 12xy C 8x + 24xy 7y2 A 12x + 15xy 14y2 B x + 9xy 6y2 D 5x + 12xy + 7y2 14 33 32 31 = A 81
B 243
C 729
D 2187
15 What are the roots of the quadratic equation 3x2 x 10 = 0 A x = 2, 5 3 B x = 2, 5 3 C x = 2, 5 3 D x = 2, 5 3
16 What is the solution of the following system of equations x + y = 4 and 2x 6y = 3 A x = 17 If
27 5 27 5 B x = ,y = , y = C 8 8 8 8 B x = y7
27 5 ,y = 8 8
D x =
8 8 ,y = 27 5
x = y 4 , then what is x in terms of y C x = y4 D x = y
A x = y12
18 A bag of Skittles contains 10 red, 9 yellow, 8 orange, 6 green, and 4 blue colored candies What is the probability of randomly choosing an orange-colored candy from the bag 8 37 8 3 A B C D 37 8 27 4 19 What is the probability of selecting an ace of a red suit from a standard deck of cards 1 2 48 50 A B C D 52 52 52 52 20 What is the probability of selecting a face card of a spade suit from two standard decks of cards 3 6 6 46 A B C D 52 52 104 104 21 Upon rolling a pair of dice, what is the probability that the sum of the two numbers on the dice is either 7 or 12 1 1 5 7 A B C D 6 36 36 36 22 What is the probability that two cards drawn from a deck of cards are of a black suit (eg, either clubs or spades) if the rst card drawn is replaced before the second card is drawn 1352 676 6 2 A B C D 2704 2704 2704 2704
Questions 23 26 Chemistry students performed nine volume measurements of a solution during a lab and obtained the following results: {24 mL , 32 mL , 37 mL , 37 mL , 45 mL , 68 mL , 73 mL , 81 mL , 122 mL } 23 What is the mean of the data set A 37 mL B 45 mL 24 What is the median of the data set A 37 mL B 45 mL 25 What is the mode of the data set A 37 mL B 45 mL 26 What is the range of the data set A 37 mL B 45 mL 27 Solve for x: x2 12x = 36 A 2 B 3 28 Solve for x: x3 64x = 0 A x = 8 B x = 6 29 Solve for x: (4x 1)2 = 121 A 3 B 2
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