Jivan was going to a business conference outside the country but he was confused when he did pack his clothes. He had the following types of clothing: belts, hats, jackets, ties, vests, T-shirt, and handkerchiefs. But he set up an algorithm to decide the clothes that he would carrying with him.
i) If he packed ties, then he did not pack handkerchiefs.
ii) If he packed belts, then he did not pack jackets.
iii) If he packed belts, then he packed at least one handkerchief.
iv) If he packed jackets, the he packed at least one vest.
v) If he packed vests, then he packed at least one handkerchief.
vi) If he packed handkerchiefs, the he packed at least two of them.
Q1. Which of the following could be a complete list of clothing?
a) One belt, one T-shirt, one vest, two handkerchiefs.
b) One belt, one tie, one T-shirts, three handkerchiefs.
c) Two belts, one tie, three T-shirts.
d) One jacket, one T-shirt, two vests and one handkerchief.
Q2. If Jivan did not pack any handkerchief, what was the maximum number of different types of clothing that he could pack?
a) Two
b) Three
c) Four
d) Five
Q3. Which of the following must be false?
a) Jivan packed exactly three items of clothing, one of which was vest.
b) Jivan packed exactly four items of clothing, one of which was vest.
c) Jivan packed exactly three items of clothing, one of which was handkerchiefs.
d) Jivan packed exactly three items of clothing, one of which was belt.
Answer
1) a
2) b
3) d