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 = #r ; Circumference = 2#r 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 perpendicular to :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 {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 :Q1 k y 1. - - - = y k 2 2 2 2 k - y (a) -1 (b) k - y (c) ------- ky (d) k-y (e) 0 :RCC :Q1 2 2 2 2. If (r - s) = 49, and r + s = 25, then rs = (a) 24 (b) -24 (c) 12 (d) -12 (e) 0 :RCD :Q1 3. The resistance of a wire 4 feet long is .24 ohm. The resistance of the same kind of wire 10 inches long is: (a) .05 ohm (b) .06 ohm (c) .5 ohm (d) .6 ohm (e) .005 ohm :RCA :Q1 4. An article used to be produced by 20 men working 6 hours. Now the work has been reduced by 20 man-hours for each article. With the same number of men working, how many more articles can now be produced in the same time it formerly took to produce 5 dozen? (a) 1 doz. (b) 6 doz. (c) 2 (d) 30 doz. (e) 1 :RCA :Q1 3r - 2 2r - ------ 3 5. ----------- = 3r + 2 2 1 3r - 2 (a) ------ (b) - (c) ------ 9r + 6 3 3r + 2 (d) -1 (e) 0 :RCB :Q1 6. A line 84 centimeters long is divided into 2 parts in the ratio 5:7. In centimeters, the length of one of the parts is: (a) 60 (b) 24 (c) 40 (d) 49 (e) 0 :RCD :Q1 7. The dial of a meter has 100 equal divisions from 0 to 100. When the needle points to 80, the true reading is 96 volts. The maximum number of volts this meter can show is: (a) 100 (b) 116 (c) 84 (d) 83 1/3 (e) 120 :RCE 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 :Q1 :SB :SP105119160119105064105119 :SH1617C A :SH0817B :SF Column A Column B 8. Area = 28 BC AC :RCD :SD :Q1 Column A Column B 9. 1/y > 0 y -1 :RCA :Q1 Column A Column B ____ 10. \/13.3 4 :RCB :Q1 Column A Column B 11. A + B + C = 400 A + B = 200 C A :RCD :Q1 Column A Column B _ 12. A = \/6 B = 4 A B :RCB :Q1 Column A Column B 13. 300% of 40 40 :RCA :Q1 Column A Column B 14. Reciprocal of 7 Sq root of 1/49 :RCC :Q1 Column A Column B 2 15. A = 169 2 B = 196 A B :RCB :Q1 Column A Column B A 16. - = 1 B 3 3 A B :RCC :Q1 Column A Column B 17. Area of Square DEFG = 49 DE + DG + EF + FG 30 :RCB :Q1 Column A Column B 1.11 18. ---- 2 .369 :RCA :Q1 Column A Column B 19. .02y + .1352y = 20 y 300 :RCB :Q1 :SB :SP105119160119105064105119 :SH1617B C :SH0817A :SF Column A Column B 2 2 2 20. (AB) + (BC) (AC) :RCC :SD :Q1 Column A Column B ___ 1 / 1 21. -- / --- 13 \/ 169 :RCC :Q1 Column A Column B 0 22. A = B A 2 :RCB :Q1 Column A Column B 1 3 -- - - 16 8 23. ------- -12 1 -- 32 :RCA :Q1 Column A Column B 17 24. (-1) 1 :RCB :Q1 Column A Column B A A B 25. - - x - B B A :RCD :Q1 Column A Column B 12 20 26. -- = -- 6 y y 10 :RCC :Q1 Column A Column B 27. 33 280% of 12 :RCB 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 :Q1 28. The dimensions of a garden are 30' x 40'. It is surrounded by a walk which is 5' wide. In square feet, the area of the walk is: (a) 375 (b) 600 (c) 800 (d) 1000 (e) 1800 :RCC :Q1 29. Bicycle wheels are 28' in diameter. In 10 revolutions of the wheels, the bicycle moves about: (a) 73' (b) 90' (c) 65' (d) 80' (e) 96' :RCA :Q1 30. A chicken loses 1/3 of its weight when it is dressed. How many pounds must an undressed chicken weigh so that it may weigh 3 3/4 pounds after dressing? (a) 2 1/2 (b) 4 1/12 (c) 4 3/4 (d) 5 5/8 (e) 5 1/2 :RCD :Q1 31. 104% of 50 is: (a) 48 (b) 50 (c) 51 (d) 52 (e) 12 :RCD :Q1 32. A basket of peaches contains 20 to 30 peaches. There are 3 to 5 baskets to a bushel. If 20% of a bushel are unripe, what is the maximum number of unripe peaches in a bushel? (a) 30 (b) 18 (c) 20 (d) 12 (e) 15 :RCA :Q1 :SB :SP189087189024273024252087 :SP252087189087273024273024 :SH1227Q T :SH0327R S :SF 33. In trapezoid QRS, QR = 16, QS = 34 and QT = 2/3RS. RS[QR and QT[QR. The area of {QST is: (a) 80 (b) 160 (c) 240 (d) 320 (e) 140 :RCB :SD :Q1 ___ 34. If y\/.16 = 36, y =? (a) 9 (b) 81 (c) .09 (d) 900 (e) 90 :RCE :Q1 _ 3 + \/7 _ 35. ------^ = P + 3\/7. Find P: 3 - \/7 _ (a) 4 (b) 8 (c) -3\/7 (d) 5 (e) 1 :RCB :ET :ET Copyright ARROW INSTRUCTIONAL SYSTEMS July 1983
