Quantitative Sample 3

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Quantitative Sample 3
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   Page 1  of 6   Section : Problem Solving and Data Analysis 1.   If an object travels at 5 feet per minute, how many feet does it travel in 2 seconds? (A)   1 20 (B)   1 0 (C)   2/5 (D)   1/6 (E)   1/12 2.   On a certain test, if a student answers 80 to 90 percent of the questions correctly, he will receive a letter grade of B. If there are 40 questions on the test, what is the minimum number of questions the student can answer correctly to receive a grade of B? (A)   24 (B)   28 (C)   32 (D)   33 (E)   36 3.   Of the following numbers, which is least? (A)   2    (B)   2 −   (C)    − 2  (D)   2 ×   (E)   2 ÷   4.   If  /\   is defined by the expression ( − )    (  )  , what is the value of 4 /\ 2 ? (A)   52 (B)   44 (C)   28 (D)   20 (E)   1 6 5.   After 4 new people entered the elevator and 2 people left the elevator, there were 2 times as many people as before. How many people were in the elevator before the changes? (A)   1 (B)   2 (C)   4 (D)   6 (E)   8 6.   If the sum of 4 numbers is between 53 and 57, then the average (arithmetic mean) of the 4 numbers could be which of the following? (A)   11   (B)   12  (C)   12    (D)   13  (E)   14  7.   If the sum of the consecutive integers from - 15 to  , inclusive, is 51, what is the value of   ? (A)   15 (B)   16 (C)   18 (D)   53 (E)   66 8.   If the average (arithmetic mean) of 6 numbers is greater than 30 and less than 60, which of the following could be the sum of the 6 numbers? (A)   100 (B)   180 (C)   250 (D)   360 (E)   420   Page 2  of 6   Questions 9-10 refer to the following diagram. 9.   How many more graduates went on to a four-year college in 1 985 than in 1 975? (A)   42 (B)   49 (C)   60 (D)   87 (E)   154 10.   In 1975, how many graduates from Centerville High School chose either to enter the workforce or to continue their education at a vocational school? (A)   204 (B)   168 (C)   132 (D)   72 (E)   34 11.   Raphael just bought a piece of furniture from a store that sells only sofas and chairs. Which of the following must be true? (A)   The piece of furniture is a sofa. (B)   The piece of furniture is a chair. (C)   The piece of furniture is not a leather sofa. (D)   The piece of furniture is not a wooden chair. (E)   The piece of furniture is not a wooden table. 12.   There are a total of20 marbles in a bag containing only red marbles, blue marbles, and yellow marbles. If a marble is selected at random, the probability of getting a red marble is 2/5 and the probability of getting a blue marble is ½ . How many yellow marbles are in the bag? (A)   1 (B)   2 (C)   4 (D)   8 (E)   10 13.   At a certain restaurant, there are 25 tables and each table has either 2 or 4 chairs. If there is a total of 86 chairs accompanying the 25 tables, how many tables have exactly 4 chairs? (A)   9 (B)   12 (C)   15 (D)   18 (E)   21 14.   If y > 0, what is 60 percent of 20y ? (A)   l .2y (B)   10y (C)   12y (D)   15y (E)   l20y   Page 3  of 6   15.   For which of the following sets of numbers is the average ( arithmetic mean) greater than the median? (A)   {−2,− 1 ,0,1,2 }  (B)   {−2,− 1 ,0,1 ,3 }  (C)   {−2,0 ,0 ,0 ,2 }  (D)   {−3,− 1 ,0,1 ,2 }  (E)   {−3 ,− 1 ,0,1 ,3 }  16.   40 percent of 210 is the same as 33   percent of what number? (A)   840 (B)   280 (C)   252 (D)   175 (E)   84 17.   If 70 percent of   is 2,100, then what is 40 percent of   ? (A)   3,000  (B)   2,020  (C)   1,800  (D)   1,470  (E)   1,200  18.   At 2 PM in Littleville, New York, it is 7 PM in Williamshire, England. A satellite orbiting Earth is visible in Littleville at 7 AM (Littleville time) but does not cross the sky over Williamshire until 6 PM (Williamshire time). A second satellite is seen over Williamshire at noon (Williamshire time) and takes the same amount of time to become visible in Littleville. When, in Littleville time, does the second satellite become visible? (A)   11 AM (B)   1 PM (C)   5 PM (D)   6 PM (E)   11 PM 19.   The chart above shows the location of all the toys stored at Joe's house. According to the chart, what is the total number of toys at Joe's house? (A)   23 (B)   40 (C)   57 (D)   87 (E)   123 20.   The bar graph above shows the number of days of class that 20 students missed. What is the average (arithmetic mean) number of days that each student missed? (A)   1 (B)   1.5 (C)   1.7 (D)   2 (E)   2.3   Page 4  of 6   21.   On the number line above, each of the letters D, E, and F corresponds to a different number. Which of those letters could correspond to the value of x if |3 −| > 5 ? (A)   D only (B)   E only (C)   F only (D)   D or F (E)   D, E, or F 22.   What is the percent increase from the third quarter to the fourth quarter for the tire sales represented in the chart above? (A)   2.5 (B)   40 (C)   71.5 (D)   100 (E)   250 23.   There are nine classrooms in a particular school. Each classroom has at least 24 students and at most 30 students. Which of the following could be the total number of students in the school? (A)   90 (B)   100 (C)   200 (D)   250 (E)   300 24.   The noon temperature for each of the first five days of a given week is recorded in the table above. If the median noon temperature for the whole week was 73 degrees Fahrenheit, which of the following could have been the respective noon temperatures, in degrees Fahrenheit, for Saturday and Sunday of the same week? (A)   68 and 72 (B)   69 and 7 1 (C)   7 0 and 77 (D)   72 and 74 (E)   74 and 77 25.   If 4  +   = 64  , what is the value of x ? (A)   1 (B)   2 (C)   3 (D)   4 (E)   5
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