Basic Mathematics for College Students

Use a circle diagram to solve each problem.See Example 7.

35. EMPLOYMENT HISTORY One hundred office
    managers were surveyed to determine their
    employment backgrounds. The survey results are
    shown below. How many office managers had neither
    sales nor manufacturing experience?


36. PURCHASING TEXTBOOKS Sixty college
    sophomores were surveyed to determine where they
    purchased their textbooks during their freshman year.
    The survey results are shown below. How many
    students did not purchase a book at a bookstore or
    online?


37. SIBLINGS When 27 children in a first-grade class
    were asked, “How many of you have a brother?” 11
    raised their hands. When asked, “How many have a
    sister?” 15 raised their hands. Eight children raised
    their hands both times. How many children didn’t
    raise their hands either time?


38. PETS When asked about their pets, a group of 35
    sixth-graders responded as follows:
    
    
    • 21 said they had at least one dog.
    
    
    • 11 said they had at least one cat.
    
    
    • 5 said they had at least one dog and at least one cat.
      How many of the students do not have a dog or a cat?
    
    
    
    

Find the next letter or letters in the sequence.

39. A,c,E,g,... 40. R,SS,TTT,...


40. Z,A,Y,B,X,C,... 42. B,N,C,N,D,...

Find the missing figure in each sequence.

,,,,

?

,,,,

?

TRY IT YOURSELF

Online

Bookstore

Both

23

35

6

Sales experience

Manufacturing

experience

Both

63

47

16

Find the next letter in the sequence.

45. C,B,F,E,I,H,L,...


46. d,h,g,k,j,n,...
    Find the next number in the sequence.


47. 7, 9,6, 8,5, 7,4,...


48. 2,5,3,6,4,7,5,...


49. 9,5,7,3,5,1,...


50. 1.3, 1.6, 1.4, 1.7, 1.5, 1.8,...


51. 2,3,5,6,8,9,...


52. 8, 5, 1,4 ,10 ,17,...


53. 6,8,9,7,9,10,8,10,11,...


54. 10,8,7,11,9,8,12,10,9,...


55. ZOOS In a zoo, a zebra, a tiger, a lion, and a monkey
    are to be placed in four cages numbered from 1 to 4,
    from left to right. The following decisions have been
    made:
    
    
    1. The lion and the tiger should not be side by side.
    
    
    2. The monkey should be in one of the end cages.
    
    
    3. The tiger is to be in cage 4.
       In which cage is the zebra?
    
    
    
    


56. FARM ANIMALS Four animals—a cow, a horse, a
    pig, and a sheep—are kept in a barn, each in a
    separate stall.
    
    
    1. The cow is in the first stall.
    
    
    2. Neither the pig nor the sheep can be next to the
       cow.
    
    
    3. The pig is between the horse and the sheep.
       What animal is in the last stall?
    
    
    
    


57. OLYMPIC DIVING Four divers at the Olympics
    finished first, second, third, and fourth.
    
    
    1. Diver B beat diver D.
    
    
    2. Diver A placed between divers D and C.
    
    
    3. Diver D beat diver C.
       In which order did they finish?
    
    
    
    


58. FLAGS A green, a blue, a red, and a yellow flag are
    hanging on a flagpole.
    
    
    1. The only flag between the green and yellow flags is
       blue.
    
    
    2. The red flag is next to the yellow flag.
    
    
    3. The green flag is above the red flag.
       What is the order of the flags from top to
       bottom?
    
    
    
    

Appendix III Inductive and Deductive Reasoning A-29