NUMBER ANALOGY
1. 0.75 is to ¾ as 0.8 is to _________
1. 2/3 2. 4/5 3. 5/6 4. 6/7 5. 3/5
2. 75% is to 1/2 as 45% is to _______
1. 3/11 2. 3/10 3. 3/4 4. 2/3 5. 3/5
3. 0.25 is to 0.125 as to 1.25 is to ________
1. 0.625 2. 1.125 3. 1.625 4. 2.125 5. 6.250
4. 2 is to 50 as 3.2 is to _________
1. 60 2. 70 3. 80 4. 90 5. 160
5. 14 is to 28 as 5 is to _________
1. 7 2. 8 3. 9 4. 10 5. 15
6. 1 is to 1/4 as 5/25 is to ________
1. 1/16 2. 1/18 3. 2/6 4. 3/4 5. 1/20
7. 0.35 is to 7 as 0.45 is to ________
1. 8 2. 9 3. 12 4. 14 5. 0.9
8. 1/3 is to 2/18 as 1/12 is to ________
1. 2/72 2. 2/48 3. 3/36 4. 3/25 5. 1/72
9. 3/8 is to 12/32 as 2/5 is to ________
1. 8/20 2. 10/23 3. 6/13 4. 4/6 5. 5/6
10. 1/3 is to 3/7 as 1/6 is to ________
1. 3/14 2. 1/5 3. 1/4 4. 1/3 5. ½
11. 0.4 is to 2/5 as 0.6 is to ________
1. 20 2. 4/5 3. 3/10 4. 3/5 5. 1/5
12. 0.2 is to 0.4 as 0.3 is to ________
1. 0.009 2. 0.0009 3. 0.09 4. 0.9 5. 9.0
13. 8 is to 23 as 27 is to ________
1. 33 2. 53 3. 93 4. 39 5. 43
14. 0.5 is to 1/2 as 0.65 is to ________
1. 11/20 2. 13/20 3. 15/20 4. 17/20 5. 14/20
15. 1/3 is to 3 as 2/8 is to ________
1. 2 2. 4 3. 6 4. 8 5. 10
16. 30% is to 3/5 as 80% is to ________
1. 1 1/5 2. 1 2/5 3. 1 3/5 4. 1 4/5 5. 2
17. 0.30 is to 0.075 as 0.15 is to ______
1. 0.000375 2. 0.00375 3. 0.0375 4. 0.375 5. none
18. 2/5 is to 20% as ¾ is to ________
1. 35.5% 2. 37.0% 3. 37.5% 4. 39.0% 5. 36.5%
19. 625 is to 81 as 5 is to ________
1. 3 2. 4 3. 6 4. 9 5. 0.648
20. 8 is to 11 as 36 is to ________
1. 49.50 2. 55.00 3. 59.50 4. 65.00 5. 69.50
21. 2 is to 2.5 as 4 is to ________
1. 3 2. 5 3. 7 4. 9 5. 6
22. 2 is to 8 as 4 is to ________
1. 18 2. 32 3. 36 4. 66 5. none
PROBLEM SOLVING
1. Miss Roxas bought 20 blouses for P1800 and marked them to sell at P110 each. After selling 16 pieces at this rate, she decided to sell the remaining blouses at a lower price. At what price may she sell each remaining blouse and still realize a gross profit of P360 on the 20 blouses?
1. P100 2. P105 3. P110
4. P115 5. P120
2. The Philippines and 19 other Asian nations decide to cut their oil consumption by two million barrels a day. If this is 5% of their daily oil consumption, how many barrels are consumed by these countries in one day?
1. 400,000 2. 10,000.00 3. 40,000.00
4. 100,000.00 5. 400,000.00
3. A development project which was financed by ecological organizations amounted to P 3.6 million. If there had been two more contributors, and the expenses were shared equally, it would have cost each organization P300,000 less. How many organizations contributed to the project?
1. 3 2. 4 3. 6
4. 9 5. 12
4. There are 36 reams of mimeographing paper in the drawer. If 1 ¼ dozens of reams of paper were to be used in printing, how many reams should be left in the drawer?
1. 15 2. 20 3. 21
4. 22 5. 23
5. A group of men went on fishing trip, agreeing that each should pay the same amount. The total bill was P168. If there had been two fewer men, each man would have had to pay 2 pesos more. How many men went fishing?
1. 15 2. 14 3. 13 4. 12 5. 8
6. The ceiling of a building, 18 meters by 15 meters, is to be painted. How many gallons of paint are required for this ceiling if a gallon can cover 15 square meters?
1. 15 2. 18 3. 20 4. 27 5. 36
7. A square and a rectangle have equal areas. If the rectangle is 36 by 16, what is a side of a square?
1. 24 2. 26 3. 29 4. 34 5. 36
8. Ana gets a commission of 10% for each bottle of lotion she sells. If a bottle of lotion sells for P87.50, how many bottles will Ana have to sell to receive a commission of P210?
1. 20 2. 24 3. 36 4. 38 5. 40
9. What is the sum of series of arithmetic progression having a common difference of 3.5, if the first term is 0.5 and the last term is 25?
1. 17.15 2. 25.55 3. 53.4 4. 174.5 5. none of these
10. If the sum of 5 consecutive numbers is 95, what is the third number?
1. 17 2. 18 3. 19 4. 20 5. 21
11. Two numbers are in the ratio of 3 to 5. The lesser number is 42. Find the greater number.
1. 70 2. 75 3. 112 4. 126 5. 252
12. The total area of a cube is the sum of its lateral area and the area of its bases. If the edge of a cube is 4, find its total area.
1. 96 2. 64 3. 48 4. 32 5. 24
13. If a can of paint will cover approximately 60 square yards, what length of the wall can be painted if the wall is 8 feet high?
1. 12 feet 2. 10 feet 3. 6 feet 4. 5 feet 10 inches 5. none of these
14. One million is to be divided among the 3 children of a widower in the ratio of 10:12:18. By how much is the largest share greater than the smallest share?
1. P300,000 2. P200,000 3. P150,000
4. P100,000 5. P50,000
15. Division and section heads of agency Y who come late during their monthly staff meetings are fined. The first latecomer pays P0.50, the second latecomer pays P1.00, the third pays P1.50, the fourth pays P2.00 and so forth. If 13 came late during their last meeting, how much money was collected from them?
1. P6.50 2. P P45.50 3. P65.00
4. P84.50 5. P104.50
16. The first day, a contractor hired 11 carpenters, 3 masons and 5 helpers. The second day, he hired 6 carpenters, 5 masons and 2 helpers. The third day, he hired 5 carpenters, 3 masons, and 3 helpers. If his payroll was 194 the first day, P137 the second day, and P112 the third day, how much did he pay each mason a day?
1. P8 2. P29 3. P10
4. P12 5. none of these
17. In an illustration, one unit represents a line 85 centimeters long. How many meters long of a line will be represented by 150 units?
1. 1.275 2. 12.75 3. 127.50
4. 1,275 5. 12,750
18. If the management of a parking lot charges its customer P10.00 for the first two hours and P5.00 for each additional hour or a part thereof; then the cost for parking for 4 hours and 45 miutes is __________.
1. P15.00 2. P23.75 3. P25.00
4. P35.00 5. P45.00
19. A bureau director has an appointment at 9 A.M. in a nearby province. If he travels at 40 kph., he will arrive at 8 AM. If he drives at 30 kph., he will not arrive until 8:45 A.M. How far away is the province?
1. 30 km 2. 37.5 km 3. 50 km
4. 90 km 5. 225 km
20. Which of the following has the greatest discounts?
1. a discount of 1/3 of the selling price pf P200
2. 33.3% of the selling price of P200
3. 0.3 discount of the selling price of P200
4. a discount of 200
5. none of the above
21. Nena has applied for employment in the next three different countries namely: Hongkong; Malaysia and Brunei. In Hongkong the monthly salary in HK $500; Malaysia Mal $300 and Brunei $200 consider the following:
1 HK $ = P2.90
1 Br $ = P 12.15
1 Mal $ = P 8.40
Which country has the best offer?
1. Hongkong 2. Brunei 3. Malaysia
4. Hongkong – Brunei 5. All
22. Which of the following commodities has the least increase U.S. $ per pound from 1987 – 1990.
1. copper from 0.63 to 1.14
2. aluminum from 0.62 to 0.63
3. nickel from 1.72 to 3.55
4. zinc from 0.43 to 0.68
5. lead from 0.21 to 0.30
23. Which of the following is the biggest?
1. 41.2 meters 2. 4,120 cm 3. 0.0412 km.
4. 41,200 mm. 5. all are equal
24. A family budget provides that the monthly outlaws for food and house is P 1,810.00. If the amount spent for food is three times that of the rent, how much is the monthly rental?
1. P460.00 2. P920.00 3. P1,560.00
4. P452.50 5. none of these
25. After driving 3 ½ hours, a motorist covered 120 km. At this rate, how long will it take him to drive 360 km.?
1. 9 ½ 2. 10 ½ 3. 11 ½
4. 12 ½ 5. 13 ½
26. Mrs. Renoso is planning to buy curtains for their new house. She will need 23 floor length pieces, each piece 2 meters and 50 cm. Long. How many meters should she buy.
1. 37 ½ 2. 47 ½ 3. 57 ½
4. 67 ½ 5. 57 ¼
27. An employee spends about P1,330.00 a month. This sum is 70% of his monthly salary. How much does he receives a month?
1. P1,900.00 2. P2,265.00 3. P2,900.00
4. P2,290.00 5. P2,000.00
28. If a and b are any two positive real numbers, then;
1. –b a+b 2. b-a a+b 3. a-b a+b
4. a-b a+b 5. none of these
29. Which pair of numbers below has 120 as a product?
1. 7 & 16 2. 15 & 8 3. 18 & 5
4. 25 & 4 5. none of these
30. A certain number is doubled and then divided by 8. If after subtracting 4 from this result, one gets 16, the original number is:
1. 32 2. 48 3. 64
4. 80 5. 70
31. The numerator of a fraction is 4 less than its denominator, if 3 is added both the numerator and denominator, the resulting number is ¾. What is the original fraction?
1. 8/14 2. 9/13 3. 9/12
4. 10/13 5. 8/13
32. Each box of ballpen contains 24 pieces. If an employee in an office given 3 ballpens. How many boxes will be needed for 168 employees?
1. 17 2. 21 3. 22
4. 25 5. 31
33. An employee who receives P306.00 each payday saves P1.50 of every P9.00 of his earnings. If the employee is paid two times a month, how much he would save after four months?
1. P144.00 2. P204.00 3. P334.00
4. P408.00 5. P308.00
34. If a can holds ¾ of a liter of gasoline. How many liters will 1 ½ dozens at the same size hold?
1. 10.8 2. 12.2 3. 13.8
4. 13.5 5. 14.5
35. The ratio of males to females in an organization is M:F. How many males are there if there are T females?
1. (M x T) + F 2. (F x T) + M 3. T + (F-M)
4. FT / M 5. MT / F
36. Maria was born November 23, 1958. How old was she last April 23, 1980?
1. 20 yrs. & 9 months 4. 22 yrs. & 7 months
2. 22 yrs. & 5 months 5. none of these
3. 21 yrs. & 5 months
37. When any number is divided by 20, the largest remainder that can be attained is:
1. 5 2. 10 3. 19
4. 21 5. 15
38. There are 115,000 hectares of land for cotton production. What should be the average yield in tons per hectare to produce a total of 138,000 tons of cotton?
1. 8.0 2. 1.2 3. 1.23
4. 2.3 5. 2.1
39. An employee who receives P296.00 each payday, put P1.00 out of P8.00 into a special fund. How much does he put into that fund?
1. P26.00 2. P29.00 3. P20.00
4. P24.00 5. P37.00
40. The United Arab Emirates has reduced its daily oil production by80,000 barrels from 1.7 million barrels. Find its daily production in million barrels.
1. 0.9 2. 1.5 3. 1.62
4. 1.6 5. 1.2
41. The buying power of 1972’s P1 had dropped as of June this year to 35.57 centavos. The present buying power of peso is, how many centavos less than that of 1972?
1. 64.43 2. 65.57 3. 75.43
4. 75.57 5. 74.43
42. Divide 196 into 2 parts such that one part is ¾ of the other part. What are the two numbers formed?
1. 100:96 2. 108:88 3. 112:84
4. 124:72 5. none of these
43. The price of a pair of pants is P17.00 more than twice the price of the polo shirt. If the average price of these two items is P83.50, what is the price of the pants?
1. P100 2. P107 3. P114
4. P117 5. P120
44. One-third of a certain number added to 1/5 of the next consecutive number is 5. What is the sum of the two numbers?
1. 17 2. 19 3. 20
4. 21 5. 23
45. A man owns a piece of land worth P0.6 million. He is taxed on ¾ of its value at the rate of P7.00 per P1,000. How much is he paying for the tax of his property?
1. P3,150 2. P5,350 3. P9,000
4. P11,000 5. P10,000
46. If each side of a square is decreased by 5 centimeters, its area will decreased by 175 square centimeters. Find the side of the original square in centimeters?
1. 20 2. 18 3. 15
4. 22 5. 25
47. Twenty-seven school children were asked to form three groups such that the third group has 2 more members than the first group and the second group will have one member less than the third group. How many members will the first group have?
1. 7 2. 8 3. 9
4. 10 5. 12
48. Concrete posts are to be put along a 560 meters road. If there are 15 posts, what would be the distance in meters between two successive posts?
1. 37 2. 36 3. 40
4. 49 5. none of these
49. A fish vendor makes it a point to realize a profit of 12 ½% of his sales. For how much a kilo should he sell 20 kilos of fish costing P320.00?
1. P15.00 2. P18.00 3. P16.00
4. P17.50 5. P19.00
50. An employee drive a car at 30 kph from his residence reach his office at 8:00 a.m. If he drives at 7:50 a.m. how far is his office from his residence in km.?
1. 26 km. 2. 28 km. 3. 30 km.
4. 32 km. 5. 5 km.
51. Three stenographers will be selected from a pool of 6 equally qualified stenographers. How many different groups of three stenographers can be selected from the pool?
1. 10 2. 15 3. 18
4. 20 5. 22
52. A corporation has 3 vacancies for the positions of Senior Auditor. Out of five candidates, how many groups of three could be chosen to fill the vacancies?
1. 5 2. 6 3. 10
4. 15 5. 36
53 All of the following except one are units of measurement in the metric system.
1. decimeter 2. meter 3. hectare
4. liter 5. yard
54. A messenger traveling at 20 kph. was sent to pick a letter 10 km. away. If this messenger left at 8:30 a.m. rested for 10 minutes along the way, what time will he be back?
1. 9:40 a.m. 2. 9:10 a.m. 3. 8:30 a.m.
4. 9:00 a.m. 5. 10:00 a.m.
55. In an office the ratio of male employee to female employee is 1:3. If there are 12 male employees, how many employees are in that office?
1. 16 2. 36 3. 40
4. 42 5. 48
56. In a certain map ¼ of an inch represent 10 miles of the actual distance. If two barrios are 2 inches apart in the map, the actual distance between them is:
1. 10 miles 2. 20 miles 3. 60 miles
4. 80 miles 5. 80 kilometers
57. A mother divides 2/3 of a cake equally among her 4 children. If one cake costs P3.60, the share of each child costs:
1. P2.00 2. 0.60 3. P1.20
4. 0.80 5. 0.90
58. A man with 90 meters of fencing wishes to fence off an area in the space of a rectangle. What should be the dimension the enclosed space is to be as large as possible.
1. 23 x 22 2. 9 x 10 3. 27 x 18
4. 28 x 17 5. 30 x 15
59. The income tax withheld from the wages of a certain employee amounted to P8, 561 last year. If this is P350 more than ¾ of the amount withheld this year, how much was withheld from his wages this year?
1. P8, 911 2. P9, 248 3. P9, 611
4. P10, 948 5. P11, 415
60. If six boys shared equally ½ of a pineapple pie, what part of a whole pie did each boy get?
1. 1/36 2. 1/12 3. 1/8
4. 1/6 5. ¼
61. At a party of 345 employees, sandwiches were served with softdrinks. It was found out that 120 chicken sandwiches and 240 cheese sandwiches were consumed. When the male employees were on their way home, 35 confessed that they ate 1 chicken sandwich and 1 cheese sandwich each. How many went home without eating any of the sandwiches?
1. 20 2. 30 3. 35
4. 55 5. 65
62. A man has two investments totaling P40,000. On one he receives 12% interest and on the other he receives 10% interest. The 12% investment yield an annual income of P524 less than the 10% investment. How much is the difference between the two investments?
1. P4, 112 2. P5, 200 3. P8, 400
4. P13, 476 5. P14, 250
63. A bin containing 80 sacks of flour is 15 full. How many sacks will be in the bin when it is ¾ full?
1. 240 2. 300 3. 320
4. 400 5. 420
64. In a social hall of a building, there are 150 seats arranged in rows, with 5 more seats per row than the number of rows. How many seats are there in each row?
1. 10 2. 12 3. 15
4. 18 5. 20
65. Which of the following is the biggest?
1. 71.2 meters 4. 71,200 millimeters
2. 7,120 centimeters 5. all are equal
3. 0.0712 kilometers
66. Which of the following has the greatest discount?
1. a discount of 1/3 of the selling price of P200.00
2. 33% discount of the selling price of P200.00
3. 0.3 discount of the selling price of P200.00
4. a discount of P60.00
5. 1/3% discount of the selling price of P200.00
67. The members of a barangay set our 432 pechay plants. The number of plants in each row was six more than the number of rows. How many plants were there in each row?
1. 12 2. 24 3. 27
4. 33 5. none of these
68. The larger of two numbers is seven times the smaller number. What is the larger number if their sum is 56?
1. 49 2. 42 3. 35
4. 28 5. none of these
69. In a school of 1,302 students, 798 are girls. What is the ratio of the number of boys to the number of girls?
1. 19:31 2. 17:31 3. 12:31
4. 12:19 5. none of these
70. A paper tape 56.2 dm. Long is to be divided into 4 parts such that each part shall be 2 ½ dm. Shorter than the next succeeding part. Find the length of the longest part.
1. 10.3 dm. 2. 13.4 dm. 3. 17.8 dm.
4. 25.3 dm. 5. 41.2 dm.
71. An amount of P18,400 was requested for the purchase of office supplies. How much was released if 15% of the amount requested was not granted?
1. P10, 830 2. P12, 120 3. P13, 490
4. P14, 260 5. P15, 640
72. A supply officer distributes 80 business envelopes among 13 employees, giving half the number to the female employees and the other half to the male employees. Each female employee received 3 more than each male. How many male employees are there?
1. 8 2. 7 3. 6
4. 5 5. 4
73. Each boarder is charged P3,800 a month for board and lodging. If there are 12 boarders, how much will he owner of the boarding house earn in one half year?
1. P266,000 2. P269,800 3. P273,600
4. P277,400 5. P285,000
74. If ¼ of a land were divided into 3 equal lots, then each lot would be what part of the land?
1. 1/12 2. 1/8 3. 3/4
4. 1/4 5. 1/3
75. A chess player will play 7 rounds in a chess tournament. If he were to compete with 6 opponents in every round, how many opponents would he have played with after 7th round?
1. 32 2. 35 3. 40
4. 42 5. 49
76. A man makes a deposit of P800.00. If his deposit consists of 25 bills, some fifty-peso bills and the rest are twenty-peso bills, how many twenty-peso bills he have?
1. 8 2. 15 3. 10
4. 20 5. none of these
77. Suppose you were selling magazines and were paid 25% of your sales. What should your commission be for a day in which your sales amounted to P11.68?
1. P5.93 2. P6.26 3. P6.25
4. P2.92 5. P4.25
78. How would you divide P40.00 between two student in the ratio of 3 is to 5?
1. P23 & P17 2. P15 & P25 3. P12 & P28
4. P14 & P26 5. none of these
79. Ice placed in an ice box losses 15% of its weight before being used. How many tons of ice must be placed in an ice boxes so as to have 850 tons for use?
1. 865 2. 977.5 3. 1,000
4. 5,665 5. none of these
80. A telephone company charges a customer P33.50 for the first 100 calls a month, and 25 centavos per call in excess of 100 calls. If the total bill of a customer for a certain month is P55.25, find the total number of calls made by the customers.
1. 69 2. 187 3. 218
4. 220 5. 287
81. Mr. Cruz bought some merchandise worth P1,500. He sold 2/5 of it at 25% profit, ½ of the remaining merchandise at 15% profit and the rest at 10% profit. How much did he earn from the whole transaction?
1. P262.05 2. P226.50 3. P262.50
4. P362.05 5. P326.50
82. A sports center has 12 gates, five are on the west side, and seven are on the east side. In how many different ways can a person enter by a west gate and leave by an east gate?
1. 25 2. 35 3. 45
4. 55 5. 65
83. A boy is to meet his teacher in the principal’s room at 7:30 in the morning. If it takes the boy 30 min. to take a bath, 15 min. to eat his breakfast, 5 min. to brush teeth, 20 min. other morning activities, 25 min. to dress up and 10 min. walking to the school principal’s room. What will be the latest time that he can get up to meet his teacher on time?
1. 5:15 a.m. 2. 5:30a.m. 3. 5:45 a.m.
4. 6:15 a.m. 5. 4:45 a.m.
84. Five percent of a batch of items from a manufacturing company are defective. If there are 150 defective items in the whole batch, how many items in the whole batch are not defective?
1. 2,850 2. 2,750 3. 3, 3850
4. 3,000 5. 2,580
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