Page 753 - Basic College Mathematics with Early Integers

A PPEND I X C I INDUCTIVE AND DEDUCTIVE REASONING 729

Use diagrams and deductive reasoning to solve each problem.

45. Four men in a wheelchair race finished 1st, 2nd, 3rd, 46. Four women in a marathon finished 1st, 2nd, 3rd,
and 4th. and 4th.

Mark beat Bob. Wynonna beat Mary.
Joey finished between Mark and Bob. Sally beat Wynonna.
Sal beat Mark. June did not beat Mary.
Who finished 3rd in the race? Who finished 1st in the race?

47. 75 people in a health club were surveyed and the 48. In a poll of 200 people, the following information was
following information was gathered. gathered.

55 people drink water after exercising. 80 people listen to country music.
40 people drink Gatorade after exercising. 100 people listen to rock-n-roll music.
35 people drink water and Gatorade after exercising. 50 people listen to both country and rock-n-roll
music.
How many people drink neither water nor Gatorade
after exercising? How many people listen to country music only?

49. Aaron, Marty, Donna, and Maria have careers as a 50. Celeste, Bryan, Clay, and Eric are majoring in
civil engineer, an electrical engineer, a mechanical business, elementary education, art, and computer
engineer, and a nautical engineer, not necessarily in science but not necessarily in that order. Given the
the given order. Given the information below, information below, determine who is majoring in art.
determine who is the civil engineer. a. Celeste, Bryan, and the elementary education
a. Aaron and Donna wrote a research paper with the major are in a class together.
electrical engineer. b. Bryan and the art major had lunch with the
b. Marty and Maria carpool with the civil engineer. business major.
c. Aaron works on the same floor as the civil c. Clay and the elementary education major are
engineer and the nautical engineer. cousins.
d. Celeste and the art major carpool together.

51. John, Leon,Alberto, and Julio sit in a theater 52. Ralph,Anoa,Tumulish, and Pier sit on a bench during
according to the following. graduation ceremonies according to the following.

Alberto is on the far left. Tumulish is sitting on the far left.
If Leon is on the far right, then John is not sitting If Anoa is sitting on the far right, then Ralph is not
next to him. sitting next to her.

If Leon is on the far right, who is sitting next to him If Anoa is indeed sitting on the far right, list their
on his left? seating order starting with the person sitting on the far
left.

53. 100 people were surveyed and the results are as 54. A poll was taken in Gotham City one day about the
follows. type of transportation used to commute to work. One
hundred fifty-five people were polled.
65 people said they drink Coke.
40 people said they drink Pepsi. 70 people ride the bus.
10 people said they drink both Coke and Pepsi. 95 people ride the subway.
30 people ride both the bus and the subway.
How many people drink neither Coke nor Pepsi?
How many people ride neither the bus nor the
subway?