1. 6 ´ 10⁵ ´ 0.5 ´ 10^-3 =

   (A)    3000
   (B)    600
   (C)    300
   (D)    3 ´ 10⁸
   (E)    6000

2. A certain machine makes a casting every 3 minutes. How many castings does the machine make in two-and-a-half hours?

   (A)    5
   (B)    3000
   (C)    50
   (D)    25
   (E)    55

3. The fraction 3 / 7 is represented by the decimal 0.428571 repeatedly. 3/7 = 0.428571 428571 428571.... What is the 93^rd decimal digit ?

   (A)    2
   (B)    8
   (C)    7
   (D)    4
   (E)    1

4. Neil’s average score for three bowling games was 150. In the second game, Neil scored 35 less than in the first game. In the third game, he scored 5 less than in the second game. What was his score in the second game ?

   (A)    140
   (B)    125
   (C)    85
   (D)    150
   (E)    115

5. A cassette has two sides and each side can record for 30 minutes. A student brings 4 tapes in order to record a two-and-half-hour lecture. If the time spent for loading and unloading the tapes is negligible, what percent of the total available tape will be used to record the lecture ?

   (A)    60%
   (B)    41
   (C)    58
   (D)    62 ½ %
   (E)    37 ½ %

6. If the triangle below is distorted so that angle 'b' is halved and angle 'c' is doubled, but 'a'remains a right angle, which of the following is a possible value for Ð b?

   (A)    30
   (B)    60
   (C)    45
   (D)    90
   (E)    15

7. On an income of $ 18000 a year, a clerk pays 20% as Federal taxes and 20% of the remainder as state taxes. How much is left ?

   (A)    11520
   (B)    10800
   (C)    13680
   (D)    14400
   (E)    7200

8. Ron can pack 5 cartons in 'a' days. At this rate he can pack 4a cartons in how many days ?

   (A)    2a
   (B)    a²
   (C)    4/5 a²
   (D)    5/4
   (E)     20

9. What is the total length of fencing needed to enclose a rectangular area 41 feet by 51 feet?

   (A)    30 yards 2 feet
   (B)    61 yards 1 foot
   (C)    30 yards 1 foot
   (D)    184 yards
   (E)    61 yards 2 feet

In the figure above, BH is two-third the length of AB. What is the area of triangle ACH?

(A)    6
(B)    30
(C)    12
(D)    24
(E)    18

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