Preboard-1-Plumbing-Arithmetic (Answer Key).pdf

May 26, 2018 | Author: geraint phaeton | Category: Depreciation, Value (Economics), Interest, Bonds (Finance), Oligopoly



PLUMBING ARITHMETIC b. 6 hp d. 14.5 lbs 1. If the total fall of house sewer is 24 inches per 120 c. 7 hp 24. 350 is to be divided between Jones and Smith so feet. What is the slope per foot in sewer? d. 8 hp that jones will receive 25 more than Smith. How a. 0.01 13. A city of 25,000 uses 15 gallons of water per day much Jones received? b. 0.02 per capita. If it is required to raise this water 150 a. 185.50 c. 0.03 feet, what is the number of horsepower required? b. 187.50 d. 0.04 a. 9 hp c. 178.50 2. Find the area at the cross section of a pipe with b. 10 hp d. 186.50 the inside diameter of 14 inches and outside c. 11 hp 25. 350 is to be divided between Jones and Smith so diameter of 17 inches? d. 12 hp that jones will receive 25 more than Smith. How a. 38.92 14. Twenty less than four times a certain number is 4. much Smith received? b. 73.04 sq. in Determine the number a. 167.50 c. 153.94 sq. in a. 6 b. 155.50 d. 220.42 sq. in b. 5 c. 165.50 3. The amount of heat required to change ice to c. 4 d. 162.50 liquid water is? d. 3 26. Find two consecutive even integers such that the a. 344 Btu 15. What is the number of the horsepower to lift square of the larger is 44 greater that the square b. 144 Btu 10,000 gallons of water per hour top to a height of the smaller integers. c. 114 Btu of 90 ft? assume the weight of water to be 8- ½ a. 8 and 10 d. 214 Btu lbs per gallon b. 10 and 12 4. For any two triangles, if an angle of one triangles a. 3.56 c. 12 and 14 is congruent to an angle of the other and if the b. 3.86 d. 10 and 11 two sides of one triangle are proportional to two c. 4.86 27. A messenger traveling 65 miles per hour pursues sides of the other, they are what kind of d. 4.56 a truck which has a start of 2 hours and overtacks triangles? 16. How many gallons of water can a 75 hp engine it in 3 hours. Find the trucks’ speed? a. Complementary raise 150 ft in 5 hours? One gallon of water a. 37 miles/hr b. Supplementary weights 8-1/2 lbs. b. 38 miles/hr c. Similar a. 595,238 gallons c. 39 miles/hr d. Dissimilar b. 594,238 gallons d. 40 miles/hr 5. A temperature of 1800 F is approximately equal c. 593,238 gallons 28. A motorboat went 70 miles in 4 hours when to? d. 594,328 gallons traveling at full speed upstream on a river whose a. 52.220C 17. One cubic foot of water is assumed to wight 62.5 current flows at the rate of 6 miles per hour. How b. 62.220C lbs. what is the weight of one cubic inch of water? fast can the boat travel in still water? c. 72.220C a. 0.0361 a. 21.5 miles/hr d. 82.220C b. 0.0316 b. 22.5 miles/hr 6. An angle inscribe in a semi-circle is always? c. 0.0416 c. 23.5 miles/hr a. Unaligned d. 0.0461 d. 24.5 miles/hr b. More than 900 18. A man bought plumbing tools worth 2100. The 29. Two coats of paint are required for an elevated c. Less than 900 sales tax was 8%. How much did the man pay? water pipe line 7 inches in diameter (outside d. 900 a. 2368 diameter) and 200 ft long. If a gallon of paint 7. A factor repeated to produce a power is? b. 2268 covers 200 sq. ft. on the first coat and 250 sq. ft. a. Numerator c. 2278 on the second coat, how many gallons are b. Square d. 2378 needed? c. Quotient 19. A drainage pipe line 1000 ft long is laid at a slope a. 30 gallons d. root of 2%. What is the total drop of the lower end? b. 31 gallons 8. A polygon with ten sides is? a. 10 ft c. 32 gallons a. Dodecagon b. 15 ft d. 33 gallons b. Undecagon c. 20 ft 30. What is the radius of a circle the area of which is c. Decagon d. 25 ft equal to that of a rectangle whose sides are 26.9 d. tendicagon 20. What is the travel length of a plastic pipe 4” in and 12.5 inches respectively? 9. A rectangle reservoir has the following diameter if the offset angle is 11.250 and the a. 10.34 in dimensions, L=4m, W=2m, H=3m. what is the offset length is 60 cm. b. 11.54 in maximum volume of water that can be a. 2m c. 12.24 in accomadated in the tank? b. 3m d. 12.44 in a. 24,000 liters c. 4m 31. What is the weight of a solid ball of brass 6 inches b. 1,000 cu.m. d. 5m in diameter? Assume specific gravity of 8.4? c. 813 cu. Ft. 21. A 150 mm diameter pipe, 50 ft long is installed a. 33.3 lbs d. 240 cu.m vertically. It is filled with water at atmospheric b. 34.3 lbs 10. Two angles having the same vertex and the side pressure, what is the total pressure in psi at the c. 35.3 lbs of one is the prolongation of the side of the pther bottom? d. 36.5 lbs is? a. 20.65 psi 32. One cubic yard can give a volume equivalent to? a. Acute angle b. 21.66 psi a. 0.7651 cu.m b. Scalene angle c. 22.66 psi b. 0.2835 cu.m. c. Obtuse angle d. 23.65 psi c. 0.9232 cu.m d. Vertical angle 22. What is the pressure in pounds per square inch at d. 0.2024 cu.m 11. A water supply system is to be installed at a the base of a 10 foot water cylinder? 33. Find the diameter of a circle whose area is equal distance of 54 meters using 6 meters long PVC a. 0.433 psi to the difference between the area of an 8-inch pipe with a diameter of 100mm. determine the b. 4.33 psi circle and the area of a 4-inch circle? number of length of PVC pipe to be used? c. 4.36 psi a. 5.26 in a. 7 d. 4.63 psi b. 6.93 in b. 8 23. If the total working area of the plunger of a pump c. 12.5 in c. 9 is 10 sq. in. What is the total pressure in pounds d. 3.79 in d. 10 on the plunger when pumping against 125 lbs per 34. One gallon is equal to? 12. What is the number of horsepower required to square inch? a. 2.31 cu.m raise 25,000 lbs of water for a height of 30 meters a. 11.5 lbs b. 0.0023 cu.m within 10 minutes? b. 12.5 lbs c. 3.65 liters a. 5 hp c. 13.5 lbs d. 22.8725 mm 35. 11/16 of an inch is equal to? d. Bid bulletin go into production. The sum of these two direct a. 16.2350 mm 48. What is the corresponding effective rate of 18 % cost is known as: b. 12.3375 mm compound semi-quarterly? a. GS and A expenses c. 17.4625 mm a. 19.25% b. Operating and maintenance cost d. 22.8725 mm b. 19.48% c. Prime Cost 36. The volume of a cube is equal to the cube of the c. 18.46% d. O and M costs measure of its? d. 18.95% 60. An index of short term paying ability is called a. Angle 49. Find the present worth of future payment of a. Receivable turn-over b. Corner 100,000 to be made in 10 years with an interest b. Profit margin ratio c. Edge of 12% compounded quarterly? c. Current ratio d. Diagonal a. 30,444.44 d. Acid-test ratio 37. If each of two lines is perpendicular to the same b. 33,000.00 61. An artificial expenses that spreads purchase price line, then the lines are? c. 30,655.68 of an asset or another property over number of a. Perpendicular d. 30,546.01 years. b. Parallel 50. You loan from a firm an amount of 100,000 with a a. Depreciation c. Tangent rate of simple interest of 20 % but the interest b. Singking fund d. Converging was deducted from the loan at the time the c. Amnesty 38. Is a branch of mathematics dealing with integers money was borrowed. If at the end of one year, d. Bond and more generally, numeral computation? you have to pay the full amount of 100,000, what 62. Estimated value at the end of the useful life a. Algebra is the actual rate of interest? a. Market value b. Trigonometry a. 18.8% b. Fair value c. Geometry b. 25.0% c. Salvage value d. Arithmethic c. 27.5% d. Book value 39. One pound per square inch is equivalent to how d. 30.0% 63. Consists of the actual counting or determination many feet of water? 51. The paper currency issued by the Central Bank of the actual quantity of the materials on hand as a. 4.21 ft which forms part of the country’s money supply? of a given date. b. 3.27 ft a. T-bills a. Physical inventory c. 1.24 ft b. Bank note b. Material update d. 2.31 ft c. Check c. Technological assessment 40. The power to which a number is raised is d. Coupon d. Material count indicated by a small superior figure called? 52. Reduction in the level of national income and 64. Additional information of prospective bidders on a. Logarithm output usually accompanied by the fall in the contract documents issued prior to bidding date b. Increment general price level? a. Delict c. Exponent a. Devaluation b. Escalatory d. Mantissa b. Delation c. Technological assessment 41. A number that be exactly divided by two is? c. Inflation d. Bid bulletin a. Real d. Depreciation 65. A series of uniform accounts over a period of time b. Original 53. It is a series of equal payment occurring at equal a. Depreciation c. Integer interval of time? b. Annuity d. Even a. Annuity c. Perpetuity 42. How many feet can one horsepower raise a b. Debt d. Inflation weight of 33 lbs within one hour? c. Amortization 66. The quantity of a certain commodity that is a. 10 ft d. Deposit offered for sale at a certain price at a given place b. 100 ft 54. The place where buyers and sellers come and time c. 1,000 ft together? a. Demand d. 10,000 ft a. Market b. Supply 43. A space that is devoid of matter and in which the b. Business c. Stocks pressure is zero? c. Recreation center d. Goods a. Block hole d. Buy and sell section 67. Work-in process is classified as b. Outer space 55. A market whereby there is only one buyer of an a. An asset c. Vacuum item for which there are no goods substitute b. A liability d. Inner space a. Monopsony c. An expenses 44. Decrease in the value of a physical property due b. Oligopoly d. An owner’s equity to the passage of time? c. Monopoly 68. What is the highest position in the corporation? a. Inflation d. Oligopsony a. President b. Depletion 56. It is a series of equal payments occurring at equal b. Board of directors c. Recession interval of time where the first payment is made c. Chairman of the board d. Depreciation after several periods, after the beginning of the d. Stockholders 45. We may classify an interest rate which specifies payment 69. Type of ownership in business here individuals the actual rate of interest on the principal for one a. Perpetuity exercise and enjoy the right in their own interest. year as? b. Ordinary annuity a. Equitable a. Nominal rate c. Annuity due b. Public b. Rate of return d. Deferred annuity c. Private c. Exact interest rate 57. The total income equal the total operating cost d. Pure d. Effective rate a. Balance sheet 70. Decrease in the value of a physical property due 46. The ratio of the interest payment to the principal b. In place value to the passage of time. for a given unit of time and usually expressed as a c. Check and balance a. Inflation percentage of the principal? d. Break even no gain no loss b. Depletion a. Interest 58. Kind of obligation which has no condition c. Recession b. Interest rate attached. d. Depreciation c. Investment a. Analytic 71. An association of two or more individuals for the d. Rate b. Pure purpose of operating a business as co-owners for 47. Additional information of prospective bidders on c. Gratuitous profit contract documents issued prior to bidding date? d. Private a. Sole proprietorship a. Depict 59. Direct labor cost incurred in the factory and direct b. Company b. Escalate material costs are the costs of all materials that c. Partnership c. Assessment d. Corporation 72. We may classify an interest rate, which specifies a. physical life 96. A type of annuity where the payments are made the actual rate of interest on the principal for one b. economic life at the end of payment period starting from the year as; c. operating life first period a. Nominal rate d. all of the above a. ordinary annuity b. Rate of return 84. the provision in the contract that indicates the b. annuity due c. Exact interest rate possible adjustment of material cost and labor c. deferred annuity d. Effective rate cost d. perpetuity 73. It is defined to be the capacity of a commodity to a. secondary clause 97. Bond to which are attached coupons indicating satisfy human want. b. escalatory clause the interest due and the date when such interest a. Discount c. contingency clause is to be paid b. Luxury d. main clause a. registered bond c. Necessity 85. the present worth of all depreciation over the b. coupon bond d. Utility economic life of the item is called c. mortgage bond 74. It is the amount which a willing buyer will pay to a. book value d. collateral trust bond willing seller for a property where each has equal b. capital recovery 98. “When free competition exists the price of a advantage and is under no compulsion to buy or c. depreciation recovery product will be that value where supply is equal sell d. sinking fund to the demand’ a. Fair value 86. gross profit, sale less cost of goods sold, as a a. Law of diminishing return b. Market value percentage of sales is called b. Law of supply c. Book value a. profit margin c. Law of demand d. Salvage value b. gross margin d. Law of supply and demand 75. This occurs in a situation where a commodity or c. net income 99. The ratio of the net income to the owners’ equity service is supplied by a number of vendor by a d. rate of return is known as number of vendors and there is nothing to 87. worth of the property as shown in the accounting a. Price-earning ratio prevent additional vendors entering the market records of an enterprise b. Profit margin ratio a. Perfect competition a. fair value c. Return of investment b. Oligopoly b. market value d. Gross margin c. Monopoly c. salvage value 100. Capitalized cost of any property is equal to the d. Elastic demand d. book value a. Annual cost 76. These are products or services that are desired by 88. those funds that are required to make the b. First cost + interest of the first cost human and will be purchase if money is available enterprise or project a going concern c. First cost+ cost of perpetual maintenance after the required necessities have been obtain a. initial investment d. First cost+ salvage value a. Utilities b. current accounts 101. Which of the following depreciation methods b. Necessities c. working capital cannot have a salvage value of zero? c. Luxuries d. subscribed capital a. Declining balance method d. Product goods and services 89. a market situation where there is one seller with b. Sinking fund method 77. These are products or services that are required many buyer c. Straight line method to support human life and activities that will be a. monopoly d. SYD method purchased in somewhat the same quantity even b. monopsony 102. The lessening of the value of an asset due to the though the price varies considerably c. oligopoly decrease in the quantity available preferring to a. Utilities d. oligopsony the natural resources? b. Necessities 90. a market situation where there is one seller and a. Depreciation c. Luxuries one buyer b. Depletion d. Product goods and services a. monopoly c. Inflation 78. A condition where only few individuals produce a b. monopsony d. Incremental cost certain product and that any action of one will c. oligopoly 103. An increase in the value of a capital asset is called lead to almost the same action of others. d. oligopsony a. Profit a. Oligopoly 91. A market situation where there are few sellers b. Capital gain b. Semi-monoploy and few buyers c. Capital expenditure c. Monopoly a. oligopoly d. Capital stock d. Perfect competition b. oligopsony 104. Lands, buildings, plant and machinery are 79. Grand total of the assets and operational c. bilateral oligopoly example of capability of a corporation. d. bilateral oligopsony a. Current assets a. Authorized capital 92. A market situation where there are only two b. Trade investments b. Investment buyers with many sellers c. Fixed assets c. Subscribed capital a. duopoly d. Intangible assets d. Money market b. oligopoly 105. One gallon is equal to: 80. The worth of the property equals to the original c. duepsony a. 2.31 cost less depreciation d. oligopsony b. 0.0023 cu.m a. Scrap value 93. Define as the future value minus the present c. 3.65 liters b. Face value value. d. 22. 8725 mm c. Market value a. Interest 106. If each edge of a cube is decreased by 50%, how d. Book value b. Rate of return much percentage will the volume be decreased? 81. Money paid for the use of borrowed capital c. Discount a. 87.50 % a. Discount d. capital b. 85 % b. Credit 94. The ratio of the interest payment to the principal c. 83.60 % c. Interest for a given unit of time and usually expressed as d. 80 % d. profit percentage of the principal 107. The hour hand of a huge clock is 100 cm long. 82. liquid assets such as cash and other assets that a. interest What is the circumferential speed of the tip of can be converted quickly into cash, such as b. interest rate this hand in cm/hr? accounts receivable and merchandise are called c. investment a. 45.5 cm/hr a. total assets d. all of the above b. 50.25 cm/hr b. fixed assets 95. Scrap value of an asset is sometimes known as c. 52.36 cm/hr c. current assets a. book value d. 55.45 cm/hr d. none of the above b. salvage value 108. Find the 25th term of an arithmetic progression 83. the length of time which the property may be c. replacement value 5,8,11,14…. operated at a profit d. future value a. 77 b. 79 a. 22.2 % c. 76.564 c. 83 b. 19.09% d. 76.465 d. 76 c. 18.56% 132. How many meters higher is tower B? 0 0 109. In triangle ABC, angle A = 45 and angle C=70 . d. 16.50% a. 79.30 m Find the side opposite angle A if line AB=40m 121. At what rate of interest compounded quarterly b. 77.70 m a. 33.64 m will an investment double in four years? c. 81.40 m b. 31.70 m a. 17.7% d. 75.90 m c. 30.10 m b. 16.6% d. 29.20 m c. 15.5% 133. In an isosceles right triangle, the hypotenuse is 110. What is the radius and the centre of the circle d. 14.4% how much longer than its sides? x2+y2-10x -4y-196=0 122. Find the distance from the point (5,-3) to the line a. 2 times a. (5,5) r=5 7x-4y-28=0 b. 2 ½ times b. (5,2) r=15 a. 3.10 c. 1.5 times c. (-2,5) r=11 b. 3.45 d. None of these d. (5,5) r=8 c. 2.75 134. Find the value of A if tan 4A=cot6A 111. Find the area bounded by the line x-2y+4=0 d. 2.36 a. 90 a. 4 123. Find the distance from the origin to the line x+2y- b. 140 b. 4.5 12=0 c. 110 c. 6 a. 5.37 d. 150 d. 8 b. 5.90 135. A spherical steel ball is placed into a vertical 112. A drop of falling water passes a point 300 m from c. 6.12 circular cylinder containing water, causing the the ground at a speed of 20m/s. how high above d. 6.30 water level to rise by 12 cm. if the radius of the the ground will it be 3 seconds later? 124. Chenlee is as old as Kenneth was four years ago. cylinder is 15 cm. what is the radius of the ball in a. 198 m In two years, chenlee’s age will be eleven more cm? b. 195.80 m than half of kenneth’s age. How old is chenlee a. 14.75 c. 104.20 m now? b. 13.50 d. 112 m a. 24 c. 12.65 113. An airplane flying with the wind, took 2 hours to b. 28 d. 15 travel 1000km. and 2.5 hours to fly back. What c. 20 136. What is the surface area of a sphere whose was the wind velocity in kph? d. 26 volume is 36 cu.m? a. 50 kph 125. A line segment L was measured once, twice and a. 55.8 cum b. 45 kph three times as follows: L= 55.210m, 2L=110.431m, b. 48.90 cum c. 58 kph 3L=165.634m c. 57.78 cum d. 55kph a. 55.2100 m d. 52.70 cum 114. How many three digit number can be formed b. 55.2113 m using digits 0-9? c. 55.2155 m The pressure in a tank is 50 psi a. 100 d. 55.2125 m 137. Find the equivalent pressure head of water b. 115 126. What is the Fahrenheit equivalent of 26.500 a. 115.38 ft c. 150 centigrade? b. 125.33 ft d. 120 a. 81.50 c. 110.40 ft 115. After how many minutes from 12;00 o’clock noon b. 82.340 d. 130.25 ft will the minute hand and the hour hand of an c. 79.70 138. Equivalent pressure head of fuel oil with sp. Gr.= clock make an angle of 1200 for the first time? d. 80.120 0.92 a. 23.40 min 127. The hypotenuse of a right triangle is 34 cm. find a. 120 ft b. 21.80 min the length of the shorter leg if it is 14cm shorter b. 136.23 ft c. 20.00 min than the other leg. c. 125.42 ft d. 22.30 min a. 15 d. 141.58 ft 116. The bases of a right prism are pentagons with b. 16 139. Equivalent pressure head of nectar each side 6 cm long. The bases are 12 cm apart. c. 17 a. 39.25 ft What is the volume of the prism? d. 18 b. 44.30 ft a. 630.85 128. The measure of 1.5 revolutions counter clockwise c. 37.55 ft b. 710.12 cu. cm. a. 540 d. 42.63 ft c. 743.40 b. 520 d. 695.00 c. 90 A tank can be filled by pipe A in 3 hours and by pipe B 117. Find the area of a pentagon that is inscribed in a d. -90 in 5 hours. When the tank is full, it can be drained by circle if the area of the circle is 314 sq.m. pipe C in 4 hours. a. 237.60 sqm 140. What is the rate of Pipe A b. 255.30 sqm a. 1/12 c. 340.12 sqm From the top of the tower A, the angle of elevation of b. 1/8 d. 283.56 sqm the top of the tower B is 46 degrees. From the foot of c. 1/3 118. Plumber A can finish a plumbing job in 2 days. tower B the angle of elevation of the top of tower A is d. 1/4 Plumber B can finish the job in 3 days. Plumber C 28 degree. Both towers are on a level ground. If the 141. What is the rate of pipe C can do the job in 6 days. If they work together, height of tower B is 120m. a. ¼ how long will it take for them to finish the job? 129. An angle that measures from the horizontal b. 1/12 a. 1 day upward to an object is called _____ c. 1/3 b. 1.50 days a. Right angle d. 1/8 c. 1.15 days b. Acute angle 142. If the tank is initially empty and pipe A & pipe B d. 1.25 days c. Angle of elevation are open, how many hours will take to fill up the 119. Three liters of 20 % alcohol solution is mixed with d. Angle of depression tank? one liter of an X% alcohol solution. If new mixture 130. How high is tower A? a. 1.587 hrs contains 22.5%alcohol, what is the value of x? a. 38.6 m b. 1.758 hrs a. 20% b. 42.3 m c. 1.875 hrs b. 24% c. 44.1 m d. 1.578 hrs c. 28% d. 40.7m 143. If the tank is half full and pipe A & pipe C are d. 30% 131. What is the distance between tower A and B? open, how many hours will it take to fill up the 120. What rate in percent compounded semi-annually a. 756.456 tank? is equivalent to 20% compounded annually? b. 76.654 a. 7 hrs b. 8 hrs d. P 39,375.00 168. The elevator in a eleven-storey office building c. 9 hrs 156. If x2 + y2 =2 and x2 – y2 =2, then x4-y4 = travels at the rate of one floor per ¼ min, which d. 6 hrs a. 0 allows time for picking up and discharging 144. If the tank is initially empty and all three pipe are b. 2 passenger. At the main floor and at the top floor, open, how many hours will it take to fill up the c. 4 the operator stops for 1 minute. How many tank? d. 5 complete trips will an operator make during a 7 a. 3.529 hrs 157. If 3x=2y and 6y=7z, what is the ratio of x to z? hours period? b. 3.259 hrs a. 2:3 a. 20 c. 3.925 hrs b. 7:9 b. 30 d. 3.592 hrs c. 3:2 c. 60 d. 5:7 d. 76 145. Point C is ¾ of the way from A(1,-4) to B (-3,8). 158. Six consecutive integers are given. Then sum of 169. A vertical pole 6 ft high casts a shadow 4 ft long. Determine the abscissa and ordinate of point C. the first three is 27. What is the sum of the last At the same time a tree casts a shadow 64 ft long. a. (0,1) three? What is the height, in feet, of the tree? b. (-1,4) a. 29 a. 44 c. (-3,4) b. 30 b. 72 d. (-2,5) c. 32 c. 96 146. Plumber A is 8% taller than B, while B is 9% taller d. 36 d. 192 than C. by how much in percent is A taller than C? 159. If the length of a rectangle is increased by 20% 170. If 4 men can clear the garbage near a school in 6 a. 17.72% and the width is decreased by 20 %, what percent hours, how many hours will it take 12 men b. 18.50% change occurs in the area? working at the same rate to perform this task? c. 20.56% a. It remains the same a. 2 d. 21.45% b. It decreases 4 % b. 8 147. Find the values of x if 5-2x=7 c. It increases 5% c. 12 a. 1&6 d. It decreases 2% d. 18 b. -1 & -6 160. A gasoline tank that is ½ full has 8 gallons 171. An alloy of copper and tin is 20% copper. How c. -1 & 6 removed. The tank is then 1/10 full. What is the many pounds of copper must be added to 20 d. 1 & -6 capacity, in gallons, of the tank? pounds of the alloy in order for the resulting alloy 148. In how many ways can 11 women be seated in a a. 2.5 to be 50% copper? round table with eleven seats? b. 6.4 a. 6 a. 39,916,800 c. 15.8 b. 12 b. 40,320 d. 20 c. 12.5 c. 362,880 161. A motion was adopted by a vote of 5 to 3. What d. 13 d. 3,628,800 part of the total vote was against the motion? 172. How much water, in cm3, must be added to 100 149. A single deck of playing cards is shuffled well. One a. 3/8 cm3 of 80% solution of boric acid to reduce it to a card is drawn followed by another. What is the b. 3/5 50% solution? probability of getting two Aces? c. 5/8 a. 30 a. 8/52 d. 5/3 b. 40 b. 3/663 162. Of Ted’s salary, 1/10 is spent for clothing, and 1/3 c. 50 c. 4/52 for food and for rent. What part of the salary is d. 60 d. 2/104 left for other expenditures and savings? 173. How many quartz of a 90% solution of alcohol 150. The arithmetic mean of 50 numbers is 32. If two a. 17/30 should be mixed with a 75% solution of alcohol in numbers namely 16 and 48 are eliminated. b. 3/5 order to make 20 quarts of 78% solution? Determine the new arithmetic mean c. 19/30 a. 4 a. 32 d. 2/3 b. 9 b. 33 163. Susan is 4 times as old as Paul and 1 ½ times as c. 11 c. 34 old as Mary. What fraction of paul’s age is mary? d. 15 d. 36 a. 3/8 174. A machine can cut some wood in 6 minutes, and a 151. One period of a sine or cosine function is called b. 2 2/3 man using a hand saw can do it in 18 minutes. one ____of the sine and cosine curve. c. 3¾ After 4 minutes there is a power shortage and the a. Cycle d. 6 wood must be cut by hand saw. How many b. Shift 164. How much money would a man have to invest at minutes must the man work to complete the c. Amplitude the rate of 5% per year, to have P1,470 at the task? d. Phase end of the year? a. 2 152. What is the volume of the sphere whose surface a. P70 b. 6 area is 108 sq.m.? b. P700 c. 12 a. 110.50 sq.m c. P1400 d. 14 b. 105.50 sqm d. P1540 175. Three pipes are used to fill a pool with water. One c. 115.00 sqm 165. Find the value of x if the average of 1.0, 0.8, 0.2 pipe alone can fill the pool in 9 hours. Another d. 155.10 sqm and x is exactly 0.6 can fill it in 6 hours. The third can fill it in 3 hours. 153. Solve log3 (5x+7)= 2 for x a. 0.2 How many minutes will it take to fill this pool if all a. 1/5 b. 0.4 three pipes are used simultaneously? b. 2/5 c. 0.66 a. 1.63 c. 2/3 d. 1.3 b. 11 d. 1/3 166. How many miles can a motorist travel from 9:55 c. 54 154. Solve x4-9x2+8=0 for x am to 10:15 am at rate of 40 miles per hour? d. 98 a. + 8, + 1 a. 13 1/3 176. If three secretaries can type six manuscripts in 12 b. + 2, + 1 b. 15 days, how many days will it take two secretaries c. + 6, + 1 c. 20 to type three such manuscripts? d. + 4, + 2 d. 30 a. 4 155. The first cost of a plumbing equipment is P 167. A salesman travels for 2 hours at 30 miles per b. 9 385,000. It has a life of 8 years and a salvage hour and then covers 60 miles in the next 3 hours. c. 12 value of P 70,000. Find the annual depreciation What is the average rate for the entire trip? d. 16 using straight line method. a. 18 177. a. P 48,125.00 b. 24 b. P 21,875.00 c. 36 c. P 70,000.00 d. 45 d. 11/18 197. A pulley whose diameter is 9 inches is connected 187. by a belt to another pulley whose diameter is 6 a+b b+a inches. If the larger pulley runs at 1200 Angle x= a-b b-a revolutions per minutes, at how many revolutions a. 400 a. -1 per minutes does the smaller pulley run? b. 450 b. 0 a. 800 c. 500 c. 1 b. 1080 d. 850 d. a+b c. 1600 178. An office equipment costing P42,000 depreciates 188. A bag of chicken feed 18 chickens for 54 days. For d. 1800 to P11,500 in 10 years. What is the annual how many days will it feed 12 chickens? 198. How many tiles are needed to cover a bathroom depreciation? a. 36 floor 3 m long and 2m wide if each tile is a square a. P3000 b. 37 of side 1 decimeter? b. P3050 c. 53 a. 60 c. P2000 d. 72 b. 300 d. P1500 189. A 14 cm inner diameter (i.d) water main furnishes c. 600 179. water (through intermediate pipes) to a 1.00 cm d. 1200 id. Faucet pipe. It the average velocity in the 199. A tank is ¾ filled with oil. After 65 liters of oil are faucet pipe is 3 cm/sec, what will be the average drawn out, the tank is still half full. How many velocity (in cm/s) it causes in the water main? liters can the tank hold? a. 0.0153 a. 130 b. 0.0110 b. 195 c. 0.135 c. 260 Circle is inscribed in triangle ABC. BC=4, AF=3, d. 1.0 d. 360 EC=5 190. 200. There are 252 students in a school. If the ratio of a. 12 female to male students is 3:4, how many female b. 15 students are there? c. 17 a. 63 d. 24 b. 108 180. The width of a rectangle is 4/5 its length. If its In the figure above a,b,and c are in ratio 1:3:2. c. 124 perimeter is 72, what is its area? The value of b is d. 189 a. 160 a. 30 201. A father willed that his three sons’s inheritance b. 250 b. 50 from him (starting from eldest) be in ratio 1:2:3. If c. 280 c. 60 the middle sons’s inheritance was P27,000, how d. 320 d. 90 much did the third (or youngest) son inherit? 181. 191. Vicky buys a refrigerator that sells for P4,800 a. P13,500 cash. She pays P2,000 down payment and b. P40,500 promises to pay the balance in 36 monthly equal c. P54,000 In circle O, OA=6, angle AOB= 600. The area of the payments. What is the size of her monthly d. P81,000 shaded portion= payment, if interest is charged at 6% 202. Mercury boils at 6750 F. what is the boiling point a. 2π compounded monthly? of mercury in 0C? b. 4 π -3 a. P80 a. 675 c. 6 π -9 3 b. P85.18 b. 357 d. 36 π- 9 3 c. P90 c. 537 182. A rectangle lot 50 ft by 100 ft is surrounded in all d. 92.18 d. 735 sided by a concrete walk 5 ft wide. Find the 192. A marble with speed 20 cm/s rolls off the edge of 203. What is the area of the square inscribed in the number of square ft in the surface of the walk the table 80 cm high. How far (in cm), quadrant if the radius of the circle is 10 cm? a. 1600 horizontally, from the edge does the marble strike a. 100 cm b. 5250 the floor? b. 50 cm c. 5500 a. 7.8 c. 50 2 cm2 d. 6100 b. 8.1 d. 25 2 cm2 183. What is the distance from point A(3,4) to point (- c. 8.3 204. What amount should be paid on February 14, 3,-4) d. 8.5 1991 on a loan of P5,090 made October 7, 1990 a. 0 193. If a pipe fills a cistern in h hours, how much of the with b. 5 cistern does it fill in one hour? 5 3/5% simple interest? c. 10 a. 1/h a. P5,200 d. 13 b. x/h b. P5190.56 184. Point (-2,6) is the center of a circle that is tangent c. hx c. P6000 to the x-axis. The coordinates of the point of d. h/x d. P5910.56 tangency are 194. if is defined to equal xy-z, and +a=0, then 205. On a boy’s seventh birthday, his parents a. (-2,0) a= deposited P5,000 in his name in a savings bank b. (0,4) paying 1 3/8% every three months. Find the value c. (-2,-6) a. xz-y of his savings when he reaches age 21. d. (0,-2) b. xz+y a. P8762.50 185. If ab=6 and a2 +b2 = 13, then (a+b)(a+b)= c. z-xy b. P7862.50 a. 19 d. xy-z c. P2678.50 b. 25 195. A man travels 4 miles north, 12 miles east, and d. P8276.50 c. 36 then 12 miles north. How far, to the nearest mile, 206. A truck starts from rest and moves with constant d. 49 is he from the starting point? acceleration of 5 m/s2. what is its distance 186. In a certain office, 1/3 of the workers are women, a. 17 traveled after 4 seconds has elapsed? ½ of the women are married, and 1/3 of the b. 20 a. 20 married women have children. If ¾ of the men are c. 21 b. 30 married and 2/3 of the married men have d. 28 c. 40 children, what part of the workers is without 196. In the figure, the measure of A d. 50 children? a. 15 207. A marble dropped from a bridge strikes the water a. 5/18 b. 45 in 5 seconds. What is the height of the bridge? b. 4/9 c. 60 a. 123m c. 17/36 d. 80 b. 125m c. 120m 218. What is the time when the hands after 2:00 228. A refrigerators cost P 15,000 when it is new. It d. 118m o’clock are perpendicular with each other? depreciates at the rate of 10% per year. What 208. A plane is traveling eastward at an airspeed of a. 2:27:36 would it worth after 10 years? 500 km/hr. but a 90 km/hr wind is blowing b. 2:28:16 a. P5,130.18 southward. What is the speed of the plane c. 2:26:15 b. P5,330.00 relative to the ground? d. 2:28:30 c. P5,240.18 a. 590 km/hr 219. The age of Dompoy divided by the age of his son d. P5,230.18 b. 410 km/hr gives a quotient of four remainder two 12 years 229. How much work is required to lift a 50 pounds c. 500km/hr hence, the sum of their ages is 66. Find the weight 100 ft vertically from ground level? d. 508 km/hr present age of the son. a. 500 ft-lb 209. The specific gravity of cast iron is 7.20. find its a. 34 b. 5000 ft-lb weight density in lbs/ft2 of cast iron. Density of b. 12 c. 50ft-lb water is 62.4 lbs/ft3. c. 10 d. None of these a. 449 d. 8 230. A swimming pool is 5 m wide, 20 m long and b. 720 220. Atmospheric pressure is about 1 x 105 Pa. how 1.20m deep, is being filled up with a pipe at the c. 500 large a force does the air in a room exert on the rate of 85 gallons per minutes. How long does it d. 450 inside of a window pane that is 40 cm x 80 cm? take to fill the pool? 210. A horizontal pipe has a constriction in it as shown a. 3.2 x 102 a. 6 hrs in figure below. At point I the diameter is 6 cm, b. 3.2 x103 b. 6.2 hrs while at point 2 it is only 2 cm. At 1, v1=2m/s and c. 3.2 x104 c. 7 hrs P1=180 kpa. Calculate P2 (in kPa). d. 3 x 104 d. 5 hrs 221. A plumber is to install 20 meters long pipe, the 231. The radius of a circle whose area is equal to that length of pipe is 3.0 meters per piece. If the of a rectangle whose side are 20 meters and 30 plumber has 4 pcs of pipe available, what is the meters respectively is; a. 10 total length of pipe he will have to install? a. 9.17 m b. 15 a. 8 b. 13.83 m c. 20 b. 12 c. 15.92 m d. 25 c. 10 d. 14.92 m 211. How high would water rise in the pipes of a d. 6 232. Find the height of a cylinder tank which is filled building if the water pressure gauge shown the 222. The age of the father is 3 times that of his son. with water weighing 200 kg and its diameter of pressure at the ground floor to be 270 kPa? The sum of their age is 60. How old is the son? the base is 4m (specific gravity of water=1) a. 25.5 m a. 10 a. 13.92 m b. 26 m b. 12 b. 16.92 m c. 27.6 m c. 15 c. 15.92m d. 28.3 m d. 16 d. 14.92 m 212. A lead pipe 50 mm in outside diameter and 1.20m 223. The cost of purchasing a set of bathroom fixture is 233. A plumber crossed a river 30m wide but current is melted to form a cube of edge 10 cm. how P15,000.00. if the purchase will be made directly brought 40m beyond and further to the opposite thick(mm) was the pipe? with the manufacturer, a discount of 30% can be bank. What is the total distance travelled? a. 5 availed of. What will be the cost of discounted a. 50 m b. 6.05 fixture? b. 60 m c. 6.5 a. P12,000 c. 45 m d. 6.55 b. P13,500 d. 55 m 213. Henry’s father is now twice as old as he is 16 c. P11,500 234. A car 15 ft long overtakes a truck 30 ft. long which years ago, he was four time as old. How old is d. P10,500 is traveling at a rate 45 mph. how fast must the henry now/ 224. Two years from now, Pedro will be two times as car travel to pass the truck in 3 seconds? a. 32 old as Juan. If the sum of their age 2 years from a. 90 b. 24 now is 60 years. How old is Pedro and Juan now. b. 60 c. 8 a. 17 c. 91 d. 48 b. 15 d. 75 214. The sum of reciprocal of two consecutive even c. 20 235. If the numerator of a fraction is doubled and the whole numbers is 13/84. Find the numbers. d. 18 denominator is increased by 7, the valve becomes a. 6,8 225. Car A which is running at the speed of 60 km/hr 2/3. If the denominator is doubled and the b. 8,10 leaves station N which is 200 km away from numerator is increased by 2, the value becomes c. 10,12 station S where it is heading. Car B leaves station 3/5. Find the original fraction. d. 12,14 S heading to station N at the speed of 40 km/hr. a. 4/5 215. A vertical pole was broken by the wind. The upper how long will the two cars meet? b. ¾ part still attached, reached a point on the level a. 2 c. 5/6 ground 4m from the base. If the upper part is 2m b. 1 d. 4/7 longer than the lower part, how tall was the pole? c. 1½ 236. 3M/2N =125, what is the value of N in terms of a. 5m d. 3 M? b. 3m 226. A plumber covers a journey of 952,000 km in 7 a. 12 M c. 8m days and 3 hours. Find his average speed in km/s. b. 8 M d. 6m a. 155 km/s c. 4M 216. If the digits of a two-digit number are reversed, b. 1.55 km/s d. M/4 the number is three times their difference. What c. 15.50 km/s 237. The square of the positive integer y is how much is the number? d. 1550 km/s greater than the square of the integer a. 42 227. A young plumber deposited P1,000 in the bank at immediately preceding it. b. 60 6% interest compounded annually when he a. (y+4) 2 c. 24 started plumbing at the age of 21. How much will b. 2y-1 d. 20 he get from the bank when he retires at the age c. 2y+1 217. What is the time after 1:00 o’clock will the hands of 65? d. y2 + 1 of the clock forms a straight line? a. P12,990 238. A crate of apples contain one bruised apple for a. 1:35:10 b. P12,890 every 30 apples in a crate if 3 out of every 4 b. 1:38:11 c. P12,980 bruised apples are considered unsaleable, there c. 1:39:15 d. P2,770 are 12 unsaleable apples in a crate, how many d. 1:30:00 apples are there in a crate? a. 270 b. 480 d. 16 c. 600 250. A man riding on a motorcycle runs 40 km/r., is d. 840 followed 5 hrs later by a car which runs 60 kph. In 239. Two motorists start out from two twons 420 km how many hours will the car overtake the apart and travel toward each other at the hourly motorcycle? rate of 30 and 40 km respectively. In jow many a. 10 hrs hours will they meet? b. 5 hrs a. 4 hrs c. 12 hrs b. 7 hrs d. 15 hrs c. 5 hrs d. 6 hrs 251. Points A and B 1000m apart are plotted on a 240. Twenty seven coins composed of 5 centavo-coins straight highway running east and west. From A, and 25 centavo-coins have a total value of P 4.95. the bearing of a tower C is 320 W of N and from B How many 25 centavo-coins are there? the bearing of C is 260 N of E. Approximate the a. 15 shortest distance of tower C to the highway. b. 20 a. 364 m c. 18 b. 374 m d. 12 c. 384 m 241. A boat travels a certain distance downstream in 2 d. 394 m hrs. on its return trip the same distance is covered 252. If cos 650 + cos 550 = cos Ɵ, find Ɵ in radians in 5 hours. If the speed of the current is 6 mph, a. 0.765 what is the speed of the boat in still water? b. 0.087 a. 14 mph c. 1.213 b. 13 mph d. 1.421 c. 12 mph 253. In how many ways can 6 distinct books be d. 15 mph arranged in a bookshelf? 242. What is the volume of the cylindrical tank with a. 720 the flat ends, if the inside diameter is one meter b. 120 and height is 2 m? c. 360 a. π/2 d. 180 b. 2 π 254. Roll a pair of dice. What is the probability that the c. Π sum of two numbers is 11? d. π/4 a. 1/36 243. if the lengths of the sides of the triangle sail are b. 1/9 5m, 8m and 11m. find the area of the sail. c. 1/18 a. 18.33 d. 1/20 b. 19.75 255. The formula for change of centigrade reading to c. 18.66 Fahrenheit reading is? 0 d. 19.50 a. F= 5/9 0C + 32 244. Three years ago Juan was 1/5 as old as his father. b. 0F= 9/5 0C -32 0 Six years from now he will be 1/3 as old as his c. F= 9/5 0C +32 father. How old is Juan now? d. 0F= 5/9 0C -32 a. 11 yrs. Old 256. Two trains start from the same station and runs in b. 15 yrs. Old opposite directions. One runs at a uniform rate 33 c. 12 yrs. Old kph while the other at 35 kph. In how many hours d. 10 yrs. Old will they be 195 km apart? 245. Going against the wind, the plane can travel 5/8 a. 4 hrs of the distance it can travel in one hour if it is b. 2 ½ hrs going with the wind. If the plane can fly 300 mph c. 3 hrs in calm wind, what is the velocity of the wind? d. 3 ½ hrs a. 69 4/13 mph 257. In a class of 40 students, 27 like Calculus and 25 b. 71 mph like chemistry. How many like both Calculus and c. 73 mph Chemistry? d. 50 mph a. 20 246. An office has 60 employees. If 4 out of every 5 b. 10 employees are married, how many married c. 17 employees are there? d. 12 a. 20 b. 48 258. c. 24 d. 40 247. Find the area of a regular hexagonal with perimeter 12 a. 14.70 b. 10.39 c. 5.6 d. 9.25 248. In the numeral 4, 7, 3, 8 , the digit 7 means? a. 700 b. 7 c. 7000 d. 70 249. The surface area of a cube is 96 sq.m. how many are there in a cube? a. 96 b. 32 c. 64
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