Chapter 6, Problem 1EA

Water, Water, Everywhere After an invigorating workout, five fitness-conscious friends know that nothing is more refreshing then a tall cool glass of mineral water! Each person (including Annie) has a different, favorite form of daily exercise (one likes to rollerblade), and each drinks a different brand of mineral water (one is Crystal Spring). From the information provided, determine the type of exercise and brand of water each person prefers. Source: World-Class Logic Problems Special.

(a) The one who bicycles in pursuit of fitness drinks Bevé.

(b) Tim enjoys aerobicizing every morning before wok. Ben is neither the one who drinks Sparkling Creek nor the one who imbibes Bevé.

(c) Page (who is neither the one who jogs nor the one who walks Co keep in shape) drinks Purity, Meg drinks Mountain Clear, but not after jogging.

To determine

The brand of water and type of exercise each person prefers.

Answer to Problem 1EA

Solution:

Explanation of Solution

Given: The following conditions are provided.

(a) The person who bicycles drinks Beve.

(b) Tim enjoys doing aerobicizing every morning and Ben drinks neither Sparkling Creek nor Beve.

(c) Page neither jogs nor walks but drinks Purity. Meg likes drinking Mountain Clear but not after jogging.

Explanation: Consider the condition (a).

Condition (a) implies that the person who drinks Beve likes to bicycle, which means mark “$•$” at the intersection of Beve and bicycling; other than that mark “$\times$” in the row of Beve and column of bicycling in the front of remaining four glasses of water.

Consider the condition (b).

Condition (b) implies that Tim likes aerobicizing before going for work, which means that mark “$•$” at the intersection of Tim and aerobicizing; other than that mark “$\times$” in the row of Tim and in the column of aerobicizing in front of remaining person. Also, according to condition (a), mark “$\times$” where Tim and Beve intersect. Since Ben drinks neither Sparkling Creek nor Beve, it means mark “$\times$” at the intersection of Ben and Sparkling Creek and also at the intersection of Ben and Beve. As ben does not like Beve, this implies mark “$\times$” at the intersection of Ben and bicycling.

Consider the condition (c).

Condition (c) implies that Page neither likes to jog nor likes to walk and drinks purity, which means that mark “$•$” at the intersection of Page and Purity; other than that mark “$\times$” in the row of Page and in the column of Purity in front of the remaining person. Also, according to condition (a), mark “$\times$” where Page and Beve intersect. Since Meg drinks Mountain Clear, it means mark “$•$” at the intersection of Meg and Mountain Clear; other than that mark “$\times$” in the row of Page and in the column of Mountain Clear in front of the remaining person; Meg does not like to jog after having Purity, which means mark “$\times$” at the intersection of Meg and jogging.

Thus, the obtained table is

From the above table, it is concluded that

Tim: Aerobicizing

Annie: Bicycling; Beve

Page: Rollerblading

Meg: Walking

Ben: Jogging

Conclusion: The preference of each person is mentioned below.

Tim: Aerobicizing

Annie: Bicycling; Beve

Page: Rollerblading

Meg: Walking

Ben: Jogging