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                                                                                                                                                                                                                                                                        SECTION IV                                                                  TIME - 30 minutes                                                                  35 QUESTIONS     :RA                                     In this section solve each problem,     using any available space on paper for  scratchwork. Then decide which is the   best of the choices given and select    the answer.                             :RA                                     The following information is for your   reference in solving some of the        problems.                                                             2         Circle of radius r: Area = PIr          Circumference = 2PIr                    The number of degrees of arc in a       circle is 360^.                         The measure in degrees of a straight    angle is 180^.                                                                  Definitions of symbols:                                                         = is equal to                           || is parallel to                       > is greater than                       ^ is equal to degree                    < is equal to angle                     :RA                                     :SB                                     :SP257079203024179079257079             :SP203079203024203024203024             :SH1126A   D       B                    :SH0330C                                :SF                                     Triangle: The sum of the measures in    degrees of the angles                   of a triangle is 180.                                                           If <CDA is a right                      angle, then                                                                     (1) area of TRIANGLE ABC                                                             AB x CD                               = -------                                    2                                                                             2     2     2                     (2) AC  = AD  + DC                      :RA                                     :SD                                     Note: Figures which accompany problems  in this test are intended to provide    information useful in solving problems. They are drawn as accurately as         possible EXCEPT when it is stated in a  specific problem that its figure is not drawn to scale. All figures lie in a    plane unless otherwise indicated. All   numbers used are real numbers.          :RA                                     :Q5                                            a                                1. 1 - - =                                     b                                                                            1 - a       b - a                   (a) -----   (b) -----                         b           b                                                             (c) 1 - a    (d) b - a                                                          (e) It cannot be determined from the    information given.                      :RCB                                    :Q6                                             1                                     4 -                                       6                               2.    ---- =                                     1                                    2 --                                      12                                                                      (a) 2  (b) 2 1/2  (c) 4  (d) 1/4                                                (e) 1/2                                 :RCA                                    :Q5                                     3. When 5m + 5n is divided by 5n, the   quotient is:                                                                                    m + 1      m + n        (a) 5m + 1  (b) -----  (c) -----                          n          n                                                  (d) 5m  (e) m + 5                       :RCC                                    :Q4                                                      10                     4. The value of --- is:                                 .05                                                             (a) 2  (b) .2  (c) .02  (d) 20                                                  (e) 200                                 :RCE                                    :Q5                                                            2                5. In the formula d = b  - 4ac, find d  when a = 1, b = -8, and c = 16.                                                 (a) -80  (b) 0  (c) -128  (d) -48                                               (e) -16                                 :RCB                                    :Q11                                    6. A car travels the first 75 miles of  a 270-mile trip in 2 hours, then goes   at 32.5 miles per hour for the rest of  the trip. Find its average rate in      miles per hour.                                                                 (a) 35  (b) 35 7/8  (c) 43 1/4                                                  (d) 33 3/4  (e) 33 1/3                  :RCD                                    :Q13                                    7. A company wants to replace 2/5 of    its 60 professionals with               para-professionals. If 4                para-professionals can replace 3        professionals with no loss in work, how many para-professionals will be needed?                                         (a) 24  (b) 32  (c) 12  (d) 36  (e) 45  :RCB                                    Questions 8 through 27 consist of two   quantities, one in Column A and one in  Column B. You are to compare the two    quantities and choose the correct       answer                                                                          A if the quantity in A is greater;      B if the quantity in B is greater;      C if the two quantities are equal;      D if the relationship cannot be         determined from the information given.  :RA                                     Notes:                                                                          1. In certain questions, information    concerning one or both of the           quantities to be compared is centered.                                          2. In a given question, a symbol that   appears in both columns represents the  same thing in Column A as it does in    Column B.                                                                       3. Letters k, n, and a stand for real   numbers.                                :RA                                     :Q9                                        Column A             Column B                                                            a                           8.          - = c   b = c                           b                                                                         a                    b            :RCA                                    :Q9                                        Column A             Column B               ___                              9.   \/729                 27           :RCC                                    :Q9                                        Column A             Column B                                                10.          ky = 40                                                                k + y                  20           :RCD                                    :Q9                                        Column A             Column B                                                11.           2rPI = 30                                                               r                    6            :RCB                                    :SB                                     :SP140080168126112126140080             :SH1717B        C                       :SH1022A                                :SH18183y + 15                          :SH13145y + 7                           :SH13258y - 5                           :SF                                     :Q9                                        Column A             Column B                                                12.        <A = <B = <C                                                               y                    4            :RCC                                    :SD                                     :Q9                                     :SB                                     :SP140080168126112126140080             :SH1717B        C                       :SH1022A                                :SH18183y + 15                          :SH13145y + 7                           :SH13258y - 5                           :SF                                        Column A             Column B                                                13.        <A = <B = <C                                                             perimeter              60           :RCA                                    :SD                                     :Q9                                        Column A             Column B                                                        ___                                    / 1                              14.   / ---                 1               \/  289                             :RCB                                    :Q9                                     :SB                                     :SP091063133063091128155128             :SP155128091063091063091063             :SH161840^ k^                           :SH0918y^                               :SF                                        Column A             Column B                                                15.   k                    y            :RCD                                    :SD                                     :Q9                                     :SB                                     :SP091063133063091128155128             :SP155128091063091063091063             :SH161840^ k^                           :SH0918y^                               :SF                                        Column A             Column B                                                16.   40                   y^           :RCC                                    :SD                                     :Q9                                     :SB                                     :SP159127112127112080159127             :SH1717B   b   A                        :SH1417a                                :SH1017C                                :SH1222c                                :SH1920AB PERPENDICULAR BC              :SF                                        Column A             Column B                                                     2    2                 2           17. a  + b                 c            :RCC                                    :SD                                     :Q9                                     :SB                                     :SP159127112127112080159127             :SH1717B   b   A                        :SH1417a                                :SH1017C                                :SH1222c                                :SH1920AB PERPENDICULAR BC              :SF                                        Column A             Column B                                                18.  <CAB                 <CBA          :RCB                                    :SD                                     :Q9                                        Column A             Column B                                                                              3         19.  1/4                 (1/4)          :RCA                                    :Q9                                        Column A             Column B                                                20.           9y = 189                                                               y/3                   8            :RCB                                    :Q9                                        Column A             Column B                                                             4     2                    21.         5  = 10 (A)                                                               A                    9            :RCB                                    :Q9                                        Column A             Column B                                                22.            y < 6                                                                   6                     5                y                    6y           :RCB                                    :Q9                                        Column A             Column B                                                      ____                   2          23. \/.004                .02           :RCA                                    :Q9                                        Column A             Column B                                                                           0.8          24.  0.4                   ---                                      2           :RCC                                    :Q9                                        Column A             Column B                                                         3                              25. (1/4)                 1/5           :RCB                                    :Q9                                        Column A             Column B                                                26. 4 1/2%               45/1000        :RCC                                    :Q9                                        Column A             Column B               ___                              27.   / 1                   5                / ---                  -              \/  .36                  3           :RCC                                    Solve each of the remaining problems in this section using any available space  on paper for scratchwork. Then decide   which is the best of the choices given  and select the answer.                  :RA                                     :Q5                                     28. If 3y - 12 = P, then y - 4 = ?                                              (a) P - 1  (b) 4P - 4  (c) P/3  (d) 3P                                          (e) It cannot be determined from the    information given.                      :RCC                                    :Q5                                     29. If r + s = 6 and rs = 2,                                                          1    1                            then -- + -- = ?                              2    2                                 r    s                                                                     (a) 9  (b) 8  (c) 1/3  (d) 8.5  (e) 3   :RCB                                    :Q5                                     30. 1/12 cu. ft. = y/10 cu. in.; y = ?                                          (a) 5/6  (b) 120  (c) 12  (d) 14.4                                              (e) 1440                                :RCE                                    :Q4                                                     2   6                               1 - - x -                                   3   7                   31.         ---------- = ?                              3   6                               1 + - x -                                   2   7                                                           (a) 3/7  (b) 48/49  (c) 49/48                                                   (d) 3/16  (e) 3/8                       :RCD                                    :Q14                                                   1      .1      1         32. Arrange 1) -   2) --  3) --                        5       5     .5                                                 in order of value from largest to       smallest.                                                                       (a) 1,2,3  (b) 1,3,2  (c) 2,1,3                                                 (d) 3,2,1  (e) 3,1,2                    :RCE                                    :Q5                                             2    8       y                  33. If  -y = -, then - = ?                      3    9       2                                                          (a) 2/3  (b) 4/3  (c) 16/27  (d) 8/27                                           (e) 1/3                                 :RCA                                    :Q8                                     :SB                                     :SP189087210048266048259087             :SP259087189087189087189087             :SH1227A          D                     :SH0630B        C                       :SF                                     34. BC and AD are 8" and 10",           respectively. AB = 6", and <A = 60^.    The number of square inches in the area of ABCD is:                                             _                       (a) 54  (b) 27\/2                               _                               (c) 27\/3  (d) 27                                                               (e) 36                                  :RCC                                    :SD                                     :Q8                                     :SB                                     :SC160045223036179072218071             :SP218071160045248050248050             :SH06281                                :SH09312                                :SH07303                                :SF                                     35. <1 = 20^ and <2 = 40^. Find <3.                                             (a) 60^  (b) 30^                                                                (c) 80^  (d) 40^                                                                (e) 20^                                 :RCA                                    :SD                                     :ET                                     :ET