Reviewer Page Guides

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159

Civil Service Commission Professional or Sub-Professional Reviewer - Page 98/159

Mathematics Test IV Solution - Page 98

                         ____       _____
23. The sum of √ 81    +  √ 100    is ________ ?

square root of 81 is 9 and
square root of 100 is 10

therefore, 9 + 10 = 19 * Ans.

24. The sum of three consecutive integers is 54. Find the smallest integer.

Let x - be the first consecutive integer
Let x + 1 be the second consecutive integer
Let x + 2 be the third consecutive integer

x + (x + 1) + (x + 2) = 54
                     3x + 3 = 54
                           3x = 54 - 3
                           3x = 51
                             x = 51 / 3
                             x = 17 * Ans.

25. How many miles does a car travel if it averages at a rate of 35 miles per hour for 3 hours and 24 minutes?

time = 3 hrs and 24 min

       = 3 hrs + 24 / 60 hr.
       = 3 and   hrs.

distance = rate x time

=  35 miles  x 3  hrs
        hr

= (35 x 3 ) miles

= (35 x 3) + (35 + ⅖) miles

= [105 + 14] miles

= 119 miles * Ans.

26. Elmer can deliver newspaper in his route for 1 ½ hours. Wowie who takes his place one day finds that it takes him 1 ½ longer to deliver these. How long will it take to deliver the papers if they work together ?

In one hour,

Elmer can do  1  =  1  =  2  of the job
                      1      3      3

Wowie can do           1        =  1  of the job
                       1  ½ + 1  ½      3

(Part of the job finished in 1 hr.) x
(no. of hours) = 1 whole job

⅔ + ⅓ ) x N = 1

 3  x N = 1
 3

1 x N = 1

N = 1 hour * Ans.

Civil Service Reviewer Post 98/159