GENERAL EDUCATION 3.0 Q & A Part 5

1.  The product of (-4x5y3z2)(3x3y2z4):

A. 12x8y5z6

B. -12x8y5z6

 

2. The sides of a triangle are 3, 6 and 8. If the largest side of a similar triangle is 16, what is the shortest side?

A. 6  

B. 12

 

3. What is the 30th term of the sequence 5, 8, 11, 14, ...?

A. 92

B. 95

 

4. The solution set for the equation x2- 4x - 5 = 0.

A. x = 5, 9  

B. X = 5, -1

 

5. If three times a number is subtracted from 7 times the number the result is 12. What is the number?

A. -3 

B. 3

 

6. 4 mangoes cost Php 29.00. At that price, what will two and a half dozen mangoes cost?

A. P 188.50

B. P 217

 

7. In a right triangle ABC, the right angle is at C. The measure of AC is 6 and BC is 7. What is the measure of AB?

 A. √ 85

B. √30

 

8. If 2 persons are selected at random, what is the probability that they were born on Friday?

A. 1/7

B. 1/49

 

9. Two cars travel at the same time at opposite direction. One travels 50 kph and the other travels 60 kph. In how many hours will they be 330 km apart?

A. 2 hours  

B. 3 hours

 

10. Father Reyes run 3 ½ km on Monday,  4 1/3 km on Tuesday and 5 5/6 km on Wednesday. About how many kilometers did he travel in all?

A. 13 2/3

B. 15 2/3

 

11. Arrange from least to greatest: 1/2, 5/8, 6/5, 7/16

A. 7/16, 1/2, 5/8, 6/5      

B. 1/2, 5/8, 6/5, 7/16

 

12. 4 scores and 7 yrs ago means:

A. 47 yea    

B. 87 years

 

13. At Arman's<Co., pretzels are moved from ovens to packaging in a line of 25. Every fifth pretzel is tested for weight. Every third pretzel is tested for size, how many of the 25 pretzels are not checked or tested?

A. 12

B. 13

 

14. An engineer offers a 2, 3 or 4 bedrooms with 1 or 2 bathrooms and with a single garage. In how many ways can a buyer choose to buy?

A. 24

B. 6

 

15. If 50% of a number is 20, then what is 75% of the same number?

A. 10

B. 30

 

16. By how much does 3/4 of 80 exceeds 5/8 of 24?

A. 45

B. 75

 

17. In an Algebra test, the highest grade was 42 points more than the lowest grade. The sum of the two grades is 138. Find the highest grade.

A. 90

B. 96

 

18. Which among the following statements is true'?

A. A rectangle is a square.        

B. A square is a rhombus.

 

19.     Alibaba works for 40 hours a week and make Php 80.00 an hour. What is take home  pay for two weeks if Php 1400.00 is deducted for tax?

A. Php 96,400      

B. Php 5,000

 

20. An odd number is greater than 6x5 and less than 6x7. What is the number if the sum of its digits is 8?

A. 31

B. 35

 

21. A stick 96 cm long is to be divided in the ratio 3:4:5. How long is the longest part?

A. 8  

B. 40

 

22.     What is the slope given the points (3, -5) and (-2, 4)?

A. -9/5       

B. 9/5

 

23. Ashberry Estates sold 450 town houses whose are is 80 square meters. How big is the area in hectare?

A. 3.6

B. 5.6

 

24. What are the prime factors of 720?

A. 16 . 9 5  

B. 24.32. 5

 

25. Joan received 52% of the     votes as class officer. If she receives 104 votes, how many votes were cast?

A. 50

B. 200

 

26. What is the range in this set of data 1, -2, 5, 3, -6, 4, and -4?

A. 3  

B. 11

 

27. A rectangular carton holds 800 cubic meters of grass seed. It has a height of 10m and width of 20 m. How long is it?

A. 4  

B. 5

 

28. One card is taken from a deck of card. What is the probability of getting a face card?

A. 3/13       

B. 2/3

 

29. The average of three consecutive odd numbers is 27. What is the next odd number in the series?

A. 31

B. 33

 

30. What is the 6th in the progression 1, 4, 16, ...?

A. 64

B. 1024

 

31. Which of the following proportions is correct if 12 = pq?

A. 6:p = 2:q

B. 4:q = p:3

 

32.     Find the average of the integers from 1 to 31

 A. 51

B. 16

 

33.     Find the GCF of 48x2y3, 72x3y2, 36xy4.

A. 6xy2      

B. 12xy2

 

34.     40% of 35 is what percentage of 140?

A. 29%      

B. 10%

 

35.     The product of 2 whole numbers is 36, and their ratio is 1:4 Whit f Wis the smaller number?

A. 9  

B. 3

 

36. The sum of two numbers is 48 and their difference is 12. What are numbers?

A. 12 and 40        

B. 30 and 18

 

37. Perform the indicated operation: 70 + 7 x 5 + 64 ÷ 4 x 2

A. 82

B. 36

 

38. How much ribbon remains if 66 pieces of 13.5 cm in length are cut from a 27 m long ribbon?

A. 1809 cm

B. 891 cm

 

39. In a Mathematics test, 35 students passed and 30% failed. How many students took the test?

A. 60

B. 50

 

40. How much money was borrowed at 16% annual interest for 9 months if the interest paid  was

A. Php 20,000

B. Php 25,000

 

41. A ribbon was cut into 2 pieces whose lengths are in the ratio 3:5. One piece was longer by 4 cm. What are the lengths of the two pieces?

A. 8 cm and 12 cm

B. 6 cm and 10 cm

 

42. What is the value of t3 + 5t2 — t + 6 if t = -5?

A. 11

B. -239

 

43. The current sales tax in Butuan City is 7%. How much tax will you pay in food supplies worth P 9700?

A. P 679     

B. P 546

 

44. Van is twice his sister's age who is 8 years old. Their father's age is twice the sum of their ages. How old is their father?

A. 48 years old    

B. 54 years old

 

45. There are 70 employees working on a project. Fifty percent of the workers are engineers and 10 workers are laborers. The remaining workers are electric staff. How many electrical workers are there?

A. 25

B. 15

 

46. Which of the following is not a positive integer?

A. 431

B. – 15/2

 

47. Jason wants to fence a triangular area in the backyard for a garden. The three sides          measure 35 ft, 50 ft and 54 ft. How many 25 ft rolls of fence will he need?

A. 9 rolls    

B. 6 rolls

 

48. What is the value of 12 1/6  -2 3/8 -72/3 + 19 ¾ ?   

A. 21 1/8

B. 21 7/8

 

 

49. What is the dimension of a rectangle whose perimeter is 54 m if th h is 3 m less

than twice its width?

A. 17 m by 10 m  

B. 12 m by 15 m

 

50. Which of the following gives the sum of the polynomials  (a2+ b2 + ab) and (3a2 +4ab - 2b2)?

A. 4a2 - b2 + 5ab  

B. 5a2 + 5b2 + 5ab

 

51. The angles of a quadrilateral are in the ratio 2:3:4.kd the degree measure of its largest angle.

A. 144

B. 150

 

52. If 25% of a number is 60, what is 3/4 of that number?

A. 160        

B. 180

 

53. If x = 2 and y = -x, the point lies in quadrant:

A. II

B. IV

 

55. The average of 5 different counting numbers is 20 What is the highest possible value that one of the numbers can have?

A. 30

B. 90

 

56.     The area of a rectangle is (x2 + 2x - 8). If its length is x + 4, what is its width?

A. x + 2      

B. x – 2

 

57.     The vertex angle-of an isosceles triangle is 20°. What is the measure of one of the base angles?

A. 75°        

B. 80°

 

58. Ana and Beth do a job together in three hours. Working alone, Ana does the job in 5 hours. How long will it take Beth to do the job alone?

A. 3 and 1/3 hours

B. 7 and 1/2 hours

 

59. A water tank contains 18 liters when it is 20% full. How many liters does it contain when 50% full?

A. 58

B. 45

 

60. The edges of a rectangular solid have these measures: 1.5 feet by 1% feet by 3 inches. What is its volume in cubic inches?

A. 225        

B. 972

 

61. In a certain school, the ratio of boys to girls is 5 is to 7. If there are 180 boys and girls in the school, how many boys are there?

A. 45

B. 75

 

62. Determine the midpoint of the line segment joining the points (7, -3) and (-1, 6).

A. (2, -3/2) 

B. (3, 3/2)

 

63. What is the ratio of 115 to 5/15?

A. 3:5

B. 1:5

 

64. Ten nurses earn a total average monthly salary of P 120, 000. The total average income of 6 of them amounts to P 80, 000. What is the average total income of each of the remaining workers?

A. P 10, 000

B. P 40, 000

 

65 What is the value of n in the statement 2mn = 50, if m = 1?

A. 25

B. 1

 

66. One store sold twice more apples in the afternoon that in the morning. The store sold 450 pieces of apples. How many apples are sold in the morning?

A. 150        

B. 300

 

67. Joey gathered twice more marbles than Vic and Tito gathered 2 more marbles than Vic. They gathered 26 marbles. How many marbles did Vic gather?

A. 6  

B. 12

 

68. A child has read 2/3 of a book. The read part of the book has 100 pages more than the unread. How many pages is the book?

A. 300        

B. 200

 

69. A container contains 23 bottles and each bottle contains 20 marbles. How many marbles are there in 10 bottles?

A. 100        

B. 200

 

70. It takes John 25 minutes to walk to the car park and 45 to drive to work. At what time should he get out of the house in order to get to work at 9:00 a.m.?

A. 7:50 am 

B. 8:00 am

 

71. John can 6.0 a quarter of a pizza in one minute. How long does it take John to eat one pizza and a half?

A. 6 minutes        

B. 12 minutes

 

72. What is 150% of 298?

A. 447        

B. 44.7

 

73. If the price of round-trip fare to Malolos, Bulacan is P 285, how much will it cost a family of four if the husband pays full fare, the wife pays 2/3 of full fare and the two children each pay V2 of the regular price?

A. P 760     

B. P 1140

 

74. What number subtracted from each of 71 and 58 will result in two perfect squares?

A. 22

B. 33

 

75. Jessica has 6 red t-shirts and 9 yellow t-shirts. If she picks one t-shirt at random, what is the probability that it will not be yellow?

A. 215        

B. 9/15

 

76.The simplest expression for 240/420 is:

A. 1

B. (1/2)20

 

77. Find, in feet, the amount of framing needed to frame a picture 8 1/2 inches by 11 inches?

A.3 1/4 ft    

B. 2 1/4 ft

 

78. If a certain job can be finished by 18 workers in 26 days, how many workers are needed to finish the job in 12 days?

A. 39

B. 45

 

79. Which of these weights is the heaviest?

A. 2250g    

B. 2.5 kg

 

80. A certain pole cast a shadow 24 feet long. At the same time another pole 3 feet high casts a shadow 4 feet long. How high is the first pole, given that the heights and shadows are in proportion?

A.18 ft       

B. 20 ft

 

81. What is the median of the following numbers 8, 5, 7, 5, 9, 9, 1, 8 and 10?

A. 8  

B. 9

 

82. A park has a triangular shape. It has a base of 12 m and a height of 9 m. What is its area?

A. 42 m2

B. 54 m2

 

83.Joel repacks a 60 kg sack of sugar into small packs of 750 g. How many small packs can be made?

A. 75

B. 80.

 

84. What is the smallest positive integer that has 6, 8 and 10 as factors?

A. 80

B. 120

 

85. If the dosage of medicine is 2/3 milliliter, how many dosages can be given from a bottle containing 20 milliliters?

A. 13 1/3    

B. 30

 

86. A box is 12 inches wide, 16 inches long and 6 inches high. How many square inches of paper would be needed to cover it on all sides?

A. 360 sq. in.        

B. 720 sq. in.

 

87. In one senior class, 1/3 of the students are honor students. Of these honor students, 2/7 are varsity athletes. If there are four athletes in the class, how many students are there in the class?

A. 42

B. 52

 

88. A 737-model plane has 29 rows with 5 seats per row, except for the last three rows which had 3 seats each. What is the seating capacity of the plane?

A. 142        

B. 139

 

89. Julie spent on-sixth of her money in one store. In the next store, she spent three times as much as she spent in the first store, and had 80 pesos left. How much money did she have at the start?

A. P 240     

B. P 252

 

90.     Which of these numbers is greater than 1/4?

A. 1/8

B. 1/0.04

 

91. Give the factors of 2x3 + 9x2 + 9x:

A. x(2x — 3)(x + 3)       

B. x(2x + 3)(x + 3)

 

92. Joseph has more money than Mila but less than Billy. If the amounts held by Joseph, Mila and Billy are X, Y and Z respectively, which of the following is true?

A. Y < X < Z        

B. Y < Z < X

 

93. What percent is 3/4 of 5/6?

A. 65%      

B. 90%

 

94. A man started painting a wall at 9:00 AM and was able to finish painting 3/5 of it at 10:30 AM. Continuing at this rate, at what time will he finish painting the wall?

A. 11:35 AM        

B. 11:30 AM

 

95. What is the equation of the line whose slope is -2 and whose y-intercept is 3?

A. 2x + 3y = 6      

B. 2x + y = 3

 

96. How much larger is the supplement of a 57 degree angle than the complement of a 75 degree angle?

A. 108 degrees     

B. 18 degrees

 

97. The hypotenuse of a right triangle is 25 feet. If one leg is 24 feet, what is the length of the other leg?

A. 20 ft       

B. 7 ft

 

98. Which is the length of the hypotenuse of a right triangle with the legs 5 inches and 12 inches?

A. 17 in.     

B. 13 in.

 

99. What is the smallest number that can be divided exactly by 18, 20, 15?

A. 120        

B. 180

 

100. teacher wants to group her students into groups of 3, 5 or 6. She found out that there I always be 1 student left. What is the least number of pupils in her class?

A. 31

B. 81


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