FIVE PUZZLES A DAY FOR CAT

K

kant

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- 1. - At ADVANTAGE, all inhabitants are liar; but not all the time. Males speak the truth in the morning and lie in the afternoon. Females lie in the morning and speak the truth in the afternoon. Three inhabitants are asked the time of day. Two are female and one is male. They respond as follow:

A. If asked, B would claim it is morning.
B. If asked, C would claim it is morning.
C. If asked, A would claim it is afternoon.

Is it morning or afternoon? What is the gender of each inhabitants?


- 2. - Four friends leave from a party. As they leave, each one of them accidentally takes a hat belonging to another friend and a coat belonging to another friend. None of them took both - coat and hat - belonging to the same friend. Pathan's coat got taken by the friend who took Mohan's hat. Also, Mohan takes the coat belonging to the friend whose hat got taken by Pathan. Sodhi took Jerry's hat.

Whose coats and hats were taken by each of them?


- 3. - Three men - Sam, Cam and Laurie - are married to Carrie, Billy and Tina, but not necessarily in the same order. Sam's wife and Billy's Husband play Carrie and Tina's husband at bridge. No wife partners her husband and Cam does not play bridge.

Who is married to Cam?


- 4. - One of Mr. Bajaj, his wife, their son and Mr. Bajaj's mother is an Engineer and another is a Doctor.
 If the Doctor is a male, then the Engineer is a male.
 If the Engineer is younger than the Doctor, then the Engineer and the Doctor are not blood relatives.
 If the Engineer is a female, then she and the Doctor are blood relatives.

Can you tell who is the Doctor and the Engineer?

- 5. - Milan uses an escalator at the railway station. If he runs up 8 steps of the escalator, then it takes him 40.0 seconds to reach the top of the escalator. If he runs up 15 steps of the escalator, then it takes him only 22.5 seconds to reach the top of the escalator.

How many seconds would it take Milan to reach the top, if he did not run up any steps of the escalator at all? Also, how many steps are visible, when the escalator is stationary?
 
- 6. - Veeru says to Jay, "Can you figure out how many Eggs I have in my bucket?" He gives 3 clues to Jay: If the number of Eggs I have
 is a multiple of 5, it is a number between 1 and 19
 is not a multiple of 8, it is a number between 20 and 29
 is not a multiple of 10, it is a number between 30 and 39

How many Eggs does Veeru have in his bucket?

- 7. - On a train, Smith, Robinson, and Jones are the fireman, brakeman, and the engineer, but NOT necessarily in the same order. Also aboard the train are three businessmen who have the same names: Mr. Smith, Mr. Robinson, and Mr. Jones.
 Mr. Robinson Lives in Detroit.
 The brakeman lives exactly halfway between Chicago and Detroit
 Mr. Jones earns exactly $20,000 per year.
 The brakeman's nearest neighbor, one of the passengers, earns exactly three times as much as the brakeman.
 Smith beats the fireman in billiards.
 The passenger whose name is the same as the brakeman's lives in Chicago.

Who is the Engineer?

- 8. - You have twelve envelopes numbered 1 through 12, and twelve cards numbered 110 through 121.

Can you place one card inside each envelope such that the number on the envelope divides the number on the card inside it?

- 9. - Five construction supervisors, compared their day achievement results at the end of the day. From the information given below can you identify each team leader, number of workers, and number of units executed by each team?
 Number of workers in teams are 11, 12, 14, 18 and 20.
 Number of units executed by teams are 92, 127, 134, 140 and 151.
 The team with the smallest number of workers executed the smallest number of units.
 The team of Mr. Ezz, which is not Team 3, had the best day results.
 Team 1, had 14 workers, and that is less than the number of workers in Mr. Ali's team.
 Team 2 did not have 18 workers, and did not execute 140 units..
 Team 5 of Mr. Joe, had more workers than Team 4, and executed less units than both Team 3 and Mr. Ali's team.
 Team 3 did not have 12 workers.
 The team of Eid had more workers than the team of Kan.


- 10. - Mr. D'souza has bought four cars - Merc, Honda, Ford, Zen - as presents for his sons' birthdays, all of which are next week. Given the following information, what will each son get?
Alan will not get the Honda unless Barry gets the Merc and Denzil gets the Ford. Barry will not get the Ford unless Carl gets the Zen and Alan gets the Merc. Denzil will not get the Zen unless Alan gets the Honda and Barry gets the Merc. Alan will not get the Merc unless Carl gets the Zen and Denzil gets the Ford. Barry will not get the Merc unless Alan gets the Zen and Denzil gets the Ford. Alan will not get the Zen unless Barry gets the Honda and Carl gets the Merc. Carl will not get the Zen unless Barry gets the Honda and Alan gets the Ford. Alan will not get the Ford unless Barry gets the Zen and Denzil gets the Honda. Carl will not get the Merc unless Denzil gets the Honda.
 
- 11. - Write 1111......(243 times) i.e. a 243 digit number with all 1s. Prove that it is divisible by 243.

- 12. - Four prisoners escape from a prison. The prisoners, Mr. East, Mr. West, Mr. South, Mr. North head towards different directions after escaping. The following information of their escape was supplied:
 The escape routes were North Road, South Road, East Road and West Road
 None of the prisoners took the road which was their namesake
 Mr. East did not take the South Road
 Mr. West did not the South Road
 The West Road was not taken by Mr. East

What road did each of the prisoners take to make their escape?

- 13. - The population of an island consists of two and only two types of people: the knights, who invariably tell the truth and the knaves who always lie.

Three of the inhabitants called X, Y and Z were standing together. A newcomer to the island asked, "Are you a knight or a knave?" X mumbled his answer rather indistinctly, so the stranger could not quite make out what he had said. The stranger than asked Y, "What did X say?" Y replied, "X said that he was a knave." Whereupon Z said, "Don't believe Y, he's lying." What are Y and Z?

Suppose that the stranger asked X, instead, "How many knights among you?" Again X replies indistinctly. So the stranger asks Y, "What did X say?" Y replies, "X said that there is one knight among us." Then Z says, "Don't believe Y, he is lying!" Now what are Y and Z?

There are only two inhabitants, X and Y. X says, "At least one of us is a knave." What are X and Y?

Suppose X says, "Either I am a knave, or Y is a knight?" What are X and Y?

Consider once more X, Y and Z each of who is either a knight or a knave. X says, "All of us are knaves." Y says, "Exactly one of us is a knight." What are X, Y and Z?


- 14. - Two rockets are launched simultaneously from two different positions such that Rocket X will land at the same spot from which Rocket Y was launched, and Rocket Y will land at the same spot from which Rocket X was launched, allowing a small distance to the left or right to avoid the mid-air collision. The rockets are launched from the same angle, and hence travel the same distance vertically as well as horizontally.

If the rockets reach their destinations in 1 and 9 hours respectively after passing each other, how much faster is one rocket from the other?

- 15. - Five friends with surname Batliwala, Pocketwala, Talawala, Chunawala and Natakwala have their first name and middle name as follow.
 Four of them have a first and middle name of Paresh.
 Three of them have a first and middle name of Kamlesh.
 Two of them have a first and middle name of Naresh.
 One of them have a first and middle name of Elesh.
 Pocketwala and Talawala, either both are named Kamlesh or neither is named Kamlesh.
 Either Batliwala and Pocketwala both are named Naresh or Talawala and Chunawala both are named Naresh.
 Chunawala and Natakwala are not both named Paresh.

Who is named Elesh?
 
SOLVE THE PUZZLE IF YOU ARE SMART

The Sharma family consists of the following in terms of relationships:
1 grandfather, 1 grandmother, 2 fathers, 2 mothers, 4 children, 3 grandchildren, 1 brother, 2 sisters, 2 sons, 2 daughters, 1 father-in-law, 1 mother-in-law, and 1 daughter-in-law.
If we bring a count to this, this becomes Twenty-three people.
But are there really 23 individuals in the family? We think there are seven. Can you show how?

2) Lady 1: “And was he related to you, dear?”
Lady 2: “Oh, yes. You see, that man’s mother was my mother’s mother-in-law, but he is not on speaking terms with my papa.”
Lady 1: “Oh, indeed!”.
What is the relationship of the man to lady 2?
 
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