ACCUPLACER ARITHMETIC PRACTICE TEST

(1)  |16 - 25| + √(25 - 16)  =  

(A)  -12  (B)  -6  (C)  0  (D)  6  (E)  12

Solution

(2)  Which of the following is 81, 455 rounded to the nearest 100 ?

(A)  81, 000  (B)  81, 400  (C)  81, 500 

(D)  82, 000  (E)  90, 000 

Solution

(3)  If 35% of x is 7, what is x% of 35 ?

(A)  7  (B)  20  (C)  28  (D)  35  (E)  42

Solution

(4)  A number is considered "blue" if sum of its digits is equal to the product of its digits. Which of the following number is "blue" ?

(A)  111  (B)  220  (C) 321  (D)  422  (E)  521

Solution

(5)  Fro any two numbers a and b, a ? b  =  (a + b)(a - b). For example, 10 ? 5  =   (10 + 5) (10 - 5)  =  15 (5)  =  75. The value pf 7 ? 5.

(A)  2  (B)  12  (C)  24  (D)  36  (E)  48

Solution

(6)  What is the greatest integer less than 71/6 ?

(A)  9  (B)  10  (C)  11  (D)  12  (E)  13

Solution

(7)  Which of the following is not less than 0.25 ?

(A)  2/9  (B)  3/14  (C)  16/64  (D)  19/80  (E)  2/9

Solution

(8)  If the average of 5 consecutive odd numbers is 11 then the largest number is.

(A)  17   (B)  15  (C)  13  (D)  11  (E)  9

Solution

(9)  If r is an even integer, and s is an odd integer which of the following must be true ?

I  r(r + s) is even  

II  s² - r is odd

III  3r + 2s is odd

(A)  None  (B)  I and II only  (C)  I and III only

(D)  II and III only  (E)  I, II and III.

Solution

(10)  Points W, x, Y and Z all lie on the same line such that X lies between Y and Z, and W lies between X and Y, which of the following 

I  W is between X and Z.

II  Y is between W and X.

III  X is between W and Z.

(A)    None  (B)  I only  (C)  II only 

(D)  III only  (E)  II and III

Solution

(11)  If u^-4  =  16, what is one possible value of u ?

(A)  4   (B)  2  (C)  1  (D)  1/2  (E)  1/4

Solution

(12)  If a kilogram is equal to approximately 2.2 pounds, which of the following is the best approximation of the number of kilograms in one pound ?

(A)  11/5  (B)  5/8  (C)  5/11  (D)  1/3  (E)  1/5

Solution

(13)  If r is positive, and p is negative, which of the following must be negative ?

(A)  rp + 2  (B)  - |rp|  (C)  r²p² - 10

(D)  -(r + p)²  (E)  (r + p)³

Solution

(14)  If a is a positive integer, then what is the value of 5^a + 5^{a + 1} ?

(A)  6^a  (B)  5^a - 1  (C)  5^2a + 1  (D)  (5^a)^a - 1  (E)  6(5^a)

Solution

(15)  X, Y and Z are points on a line in that order. XY is 20, and YZ is 15 more than XY. What is XZ ?

(A)  25  (B)  35  (C)  45  (D)  55  (E)  65

Solution

(16)  If s is a positive integer, what is the least value of s for which √(3s/2) is an integer ?

(A)  2  (B)  3  (C)  6  (D)  9  (D)  24

Solution

(17)  If the value of a house rises by 20 percent, what is the ratio of the increase in the house's value to the new value of the house ?

(A)  1 : 6  (B)  1 : 5  (C)  1 : 4  (D)  2 : 5  (E)  2 : 3

Solution

(18)  A car travels 60 kilometers in one hour before a piston breaks, then travels at 30 kilometers per hour for the remaining 60 kilometers to its destination. What is the car's average speed in kilometers per hour for the entire trip ?

(A)  20  (B)  40  (C)  45  (D)  50

Solution

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