Other Puzzles


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1. How to Update Profile?

How does one navigate to the Profile page to update his password?

Solution:

To navigate to the Profile page to update your password, first log into your account on the website or app. Then, click on the Profile link at the top of the page. Once on the Profile page, find the section for password management and follow the prompts to update your password.


2. If Mississippi Wore a New Jersey, What Would Delaware?

If Mississippi wore a New Jersey, what would Delaware?

Solution:

If Mississippi wore a New Jersey, it suggests that the states are represented by their abbreviations. Mississippi is abbreviated as MS, and New Jersey as NJ. Therefore, if Delaware, abbreviated as DE, were to wear something similar, it would wear an 'E' for Delaware, making the answer 'E'.


3. Two Condoms, Three Partners

You are about to have intercourse with three consenting adult partners, one after another. Exactly two of them are HIV-positive and one is HIV-negative, but you do not know which is which until the moment you are with that partner.

You have exactly two condoms. A condom may be reused, but any surface that has touched an HIV-positive partner (or another surface that has) will certainly transmit the virus to the next HIV-negative person it contacts. You must plan the order of use, putting on, removing, turning inside-out, etc., so that when all three acts are finished no HIV-negative person (including yourself) has been exposed to the virus.

Is it possible, and if so, how?

Hint:

Think of the two condoms as two layers you can rearrange. Try to keep one surface that never touches an infected partner until the very last moment.

Solution:

Yes, it is possible. Number the condoms C₁ (inner) and C₂ (outer):

  1. Put on C₁, then pull C₂ over it (double-layer).
  2. Have intercourse with the first partner. If this partner is HIV-positive, only the outside of C₂ is contaminated.
  3. Remove C₂ and set it aside (its outer surface may be contaminated).
  4. Keeping C₁ on, have intercourse with the second partner. If this partner is HIV-positive, only the outside of C₁ is now contaminated; its inner surface (still against your skin) is clean.
  5. Turn C₂ inside-out so that its previously clean inner surface is now on the outside, and pull it back over C₁.
  6. Have intercourse with the third partner.

Throughout the process exactly one condom surface that has never touched an HIV-positive partner (the former inside of C₂) is the only surface that contacts the HIV-negative partner. Therefore no uninfected person is exposed.


4. There is a Pattern C a R R

There is a pattern C A R R and the question is, what is the next letter in the pattern. The choices were S I X Y. He also gave numbers for the question and answers, so the numbers for C A R R are 3 1 18 18 and the answers could be 9 19 24 25, which are S I X Y.

Solution:

Y


5. Who Killed Sharky?

Sharky, the head of an underworld gang, has been murdered. Detective Sharp questions Sharky’s four henchmen—Socko, Fats, Lefty, and Muscles—and records their statements:

a) Socko: “Lefty killed Sharky.”
b) Fats: “Muscles did not kill Sharky.”
c) Lefty: “Muscles was shooting craps with me when Sharky was knocked off.”
d) Muscles: “Lefty did not kill Sharky.”

Detective Sharp establishes that exactly one of these four statements is true, while the other three are false.

Using this information, determine: Who killed Sharky?

Hint:

Assume each henchman’s statement is either completely true or completely false. Test each statement as the single true one and look for a consistent scenario.

Solution:

If Muscles’ statement (“Lefty did not kill Sharky”) is the one true statement, then Lefty is innocent. Socko’s claim that Lefty killed Sharky is therefore false, and Fats’s statement that Muscles did not kill Sharky is also false—meaning Muscles did kill Sharky. Lefty’s alibi for Muscles is likewise false, so Muscles had no alibi. All three remaining statements are false, satisfying the condition that exactly one statement is true. Any other choice for the single true statement leads to a contradiction. Hence, Muscles is the murderer.


6. An Artist Needs to Arrange Seven Paintings on the Wall

An artist needs to arrange seven paintings on the wall of a room in an art gallery. the apaintings must be placed in consecutive order, 1st through 7th. Four of the paintings--Picasso, Benton, Tamayo, RIvera--are landscapes. THe rest van Gogh, GOya, matisse--are portraits. 1. the fifth painting must be a portrait. 2. portraits cannot be next to one another. 3. THe Goya is second. 4. If benton is the first, the the Tamayo is seventh. 5.THe RIvera cannot be placed in a lower numbered position than the Van Gogh. 6. The Picasso cannot be next to the Goya.

Solution:

1st - Benton, 2nd - Goya, 3rd - Rivera, 4th - Picasso, 5th - Van Gogh, 6th - Tamayo, 7th - Matisse


7. 1 1 2 3 5 8

What is the next number in this pattern?
1 1 2 3 5 8

Solution:

The sequence is the Fibonacci sequence, where each number is the sum of the two preceding ones. The next number after 8 is 5 + 8, which equals 13.


8. John Was Watching Television. Just After the Midnight News..

John was watching television. Just after the midnight news there was a weather forecast: "It is raining now and will rain for the next two days. However, in 72 hours it will be bright and sunny.." "WRONG again, snorted John. He was correct but how did he know?

Solution:

John knew that the weather forecast was incorrect because it stated that it would rain for the next two days, but then it would be bright and sunny in 72 hours, which is three days later. Therefore, it contradicts itself by suggesting it would stop raining before the end of the forecast period, and also, 72 hours from midnight would still be dark.


9. Invert the 10-Coin Triangle

Ten identical coins are arranged on the table in the shape of a triangle that points downward, as shown below:

* * * *
 * * *
  * *
   *

By moving exactly three coins to new positions, turn the triangle so that it points upward (its apex at the top and a base of four coins at the bottom).
All other coins must stay where they are, and no extra coins may be added or removed.

How can you do it?

Hint:

Focus on the three coins that are closest to the centre of the figure; they will all need to move.

Solution:

Number the starting positions from left to right, top to bottom:

1 2 3 4
 5 6 7
  8 9
   10

Move the following three coins:

  1. Coin 2 → position of 10 (the current apex).
  2. Coin 3 → position of 8 (left coin in the third row).
  3. Coin 6 → position of 9 (right coin in the third row).

The new layout is:

   *          (coin 2)
  * *         (coins 3 and 6)
 * * *        (coins 1,5,4)
* * * *       (coins 7,8,9,10)

This forms a triangle with its point at the top and a base of four coins at the bottom, satisfying the conditions with only three moves.


10. 8 Queens

Place 8 queens on a chess board so that no queen can kill another in a single move.

Solution:

One possible solution is to place the queens at the following coordinates: (1, 5), (2, 3), (3, 1), (4, 7), (5, 2), (6, 8), (7, 4), and (8, 6). This arrangement ensures that no two queens threaten each other, as they are positioned such that no two queens share the same row, column, or diagonal.

Another valid arrangement is:

B B B B B B B Q
B B B Q B B B B
Q B B B B B B B
B B Q B B B B B
B B B B B Q B B
B Q B B B B B B
B B B B B B Q B
B B B B Q B B B


11. Escape From a Stalled Elevator

You are alone in a modern electric elevator that has stopped between two floors. The ceiling escape hatch is locked from the outside, the emergency telephone is dead and you have confirmed that no one will even start looking for you for at least 48 hours. The lights are still on, so the car has power, but you must get out on your own.

You are wearing normal business clothes and have only the following items:

  • a 16 oz (0.5 L) bottle of water
  • a mobile phone (no reception)
  • a bean burrito wrapped in aluminium foil
  • a ball-point pen
  • a pencil
  • dress shoes with laces
  • wool socks
  • slacks, dress shirt, underwear, leather belt with metal buckle, wool jacket
  • a wrist-watch
  • a handful of loose papers
  • a small pocket-knife (screw-driver tip on the blade)
  • a packet of breath mints
  • a plastic comb

Using nothing but these items and the elevator itself, describe a safe method to escape from the cab.

(For the purposes of the puzzle you may assume an ordinary centre-opening passenger elevator built to current safety codes.)

Hint:

The ceiling hatch is the strongest part of the car. Instead, think about how the elevator doors know when they are lined up with a landing.

Solution:

All modern elevators use a mechanical linkage that couples the car doors to the landing (hall) doors only when the car is within a few centimetres of a floor. That linkage – the car-door clutch – sits directly above the car doors and can be reached once the interior control panel is removed. The idea is therefore to open the car doors first, then manually release the hall-door interlock.

  1. Use the pocket-knife as a screwdriver to remove the two or four small screws that hold the push-button panel in place.
  2. Pull the panel a few centimetres forward; you will now have an opening large enough to get a hand and forearm inside the door header.
  3. Feel above the centre of the doorway for a spring-loaded metal paddle – the car-door clutch. Push it toward the centre of the car to disengage it.
  4. With the paddle held disengaged, slide the two car doors apart. Jam one dress shoe in the track so they cannot close or re-latch.
  5. The landing doors are now visible but still locked. Through the same opening locate the small hook or lever on the hall-door interlock. Slip the metal tongue of your belt (or the aluminium burrito foil twisted into a cord) around the lever and pull it up to release the lock.
  6. While holding the interlock open, slide the landing doors apart with your free hand. Once they begin to move they will run easily.
  7. Step out onto the floor level that is highest (usually the upper one), remove the shoe, and allow both sets of doors to close normally behind you.

You have escaped without damaging the equipment and without putting yourself in danger of a fall down the shaft.


12. On a Certain Train...

On a certain train, the crew consists of the brakeman, the fireman, and the engineer. Their names listed alphabetically are Jones, Robinson and Smith. On the train are also three passengers with corresponding names, Mr. Jones, Mr. Robinson, and Mr. Smith. The following facts are known:
a. Mr. Robinison lives in Detroit
b. The brakeman lives exactly halfway between Detroit and Chicago
c. Mr. Jones earns exactly $20,000 a year
d. Smith oncea beat the fireman at the billiards
e. The brakeman s next door neighbor, one of the three passengers mentioned, earns exactly three times as much as the brakeman
f. The passenger living in Chicago has the same name as the brakeman.

What is the engineer s name?

Solution:

The engineer's name is Smith. Mr. Robinson lives in Detroit, and the brakeman lives halfway between Detroit and Chicago, which means the brakeman must be Jones. Since the passenger in Chicago shares the name with the brakeman, Mr. Jones must be in Chicago, leaving Mr. Smith as the engineer. Additionally, since Mr. Jones earns $20,000 a year, he cannot be the brakeman's neighbor who earns three times as much, confirming that Mr. Smith is the engineer.


13. Tiling a Framed Rectangle

You have an equal number of black and white square tiles.

You lay the black tiles in a solid rectangle. Around this rectangle you place the white tiles so that they form a border exactly one tile thick on all four sides, using every white tile and leaving no gaps or leftovers.

If every tile you own is used in this construction, what are all the possible total numbers of tiles you could have?

Hint:

Write equations for the area of the inner (black) rectangle and the surrounding (white) border, then look for integer solutions.

Solution:

Let the inner (black) rectangle have dimensions m × n (in tiles). Its area is mn tiles.
The outer rectangle, after the one-tile-thick white border is added, has dimensions (m + 2) × (n + 2). Hence the number of white tiles is

(m + 2)(n + 2) − mn = 2m + 2n + 4.

Because the numbers of black and white tiles are equal, we require

mn = 2m + 2n + 4.

Rewriting,

(m − 2)(n − 2) = 8.

The positive factor pairs of 8 give all solutions:

  • m − 2 = 1, n − 2 = 8 ⇒ (m, n) = (3, 10)
  • m − 2 = 2, n − 2 = 4 ⇒ (m, n) = (4, 6)
  • m − 2 = 4, n − 2 = 2 ⇒ (m, n) = (6, 4) (same total as previous)
  • m − 2 = 8, n − 2 = 1 ⇒ (m, n) = (10, 3) (same total as first)

The corresponding numbers of black (and hence white) tiles are:

  • 3 × 10 = 30 ⇒ total tiles = 2 × 30 = 60
  • 4 × 6 = 24 ⇒ total tiles = 2 × 24 = 48

Therefore the only possible totals are 48 or 60 tiles.


14. A Dying Father Has to Divide His Property Equally Among 4

There was a question on property, a dying father has to divide his property equally among 4 children without changing the shape of the property, the property is in 3 rectangle blocks like L shape ( eg 1 square box into 4 pieces, remove 1 piece - looks like L shape)

Solution:

The L-shaped property can be divided into four equal-area sections by making three cuts: one vertical cut through the middle of the vertical part of the L, and two horizontal cuts that split the bottom part into equal areas, ensuring each section has the same area while maintaining the L shape.


15. Fresnos Planting Puzzle

un hortelano tenia 10 fresnos que deberá sembrar de manera que cada una de las bardas de su terreno cuadrangular quedare de tres fresnos ¿como le hizo?

Solution:

El hortelano puede plantar los fresnos en las esquinas del cuadrado y en el medio de cada lado. De esta manera, cada barda tendrá tres fresnos: uno en cada esquina y uno en el medio de cada lado.


16. Weighing Without a Scale

how can we weigh the shirt, without having a weight but we have only pans?

Solution:

You can use the pans to balance the shirt against known weights or other items of known weight until equilibrium is reached.


17. Burning String Duration

How long must a string be in order for it to burn for 3 minutes and 30 seconds?

Solution:

The length of the string depends on its material and thickness. However, if we assume a specific burn rate, we can calculate the required length. For example, if a string burns at a rate of 1 meter per minute, then to burn for 3 minutes and 30 seconds (which is 3.5 minutes), the string must be 3.5 meters long.



19. Identifying a Conclusion Indicator

All nervous dogs are dogs unsuitable for a family with a new baby, and all dogs trained to fight other dogs to the death are nervous dogs. In view of the previous facts it follows that all dogs trained to fight other dogs to the death are dogs unsuitable for a family with a new baby.

Which of the sentences below is true about the phrase “In view of the previous facts it follows that”?

  1. It refers or points backwards to the first two sentences.
  2. It refers or points forward to the clause “all dogs trained to fight other dogs to the death are dogs unsuitable for a family with a new baby.”
  3. It functions as a conclusion indicator and would be classified as a conclusion indicator.
  4. All of the other answers are true.
Solution:

The correct answer is D. “In view of the previous facts it follows that” simultaneously:

  • Points backward to the two preceding premises (A).
  • Points forward to the conclusion clause (B).
  • Serves as a standard conclusion indicator linking premises to conclusion (C).

20. Logical Deduction with Variables

Given the statements: P and Q (Q or R), if P then S, not S, if R then A, not A. What can you conclude?

Solution:

From the statements, we have:

  • P and Q (Q or R)
  • If P then S
  • Not S
  • If R then A
  • Not A

Since 'if P then S' and 'not S', we conclude 'not P'.

From 'P and Q (Q or R)', if 'not P', then 'Q or R' must be true.

Since 'if R then A' and 'not A', we conclude 'not R'.

Therefore, R must be false.


21. Airline Crew Logic Puzzle

An airline crew consists of three positions — pilot, co-pilot, and flight engineer — filled by three people: Janet, Thomas, and Harry (not necessarily in that order).

• The co-pilot is an only child and earns the least.
• The pilot earns exactly twice as much as the co-pilot.
• Harry, who is married to Thomas’s sister, earns more than the pilot.

Determine:
1. Who is the co-pilot?
2. Who earns twice as much as the co-pilot?
3. Who is the flight engineer?
4. Who is the pilot?

Hint:

First use the fact that the co-pilot is an only child to eliminate one of the names from that role.

Solution:

Thomas cannot be the co-pilot because Harry is married to Thomas’s sister, so Thomas is not an only child. Therefore Janet must be the co-pilot, making her the lowest earner.

The pilot earns exactly twice as much as the co-pilot. Since Janet is already the co-pilot and Harry earns more than the pilot, the only person who can be the pilot is Thomas.

That leaves Harry as the flight engineer. Harry’s salary is higher than the pilot’s, satisfying the third clue.

Answers:
1. Co-pilot: Janet
2. Earns twice the co-pilot’s pay: Thomas
3. Flight engineer: Harry
4. Pilot: Thomas


22. Counting Strokes: Value of FAIL

Each of the following words has been converted into a number.

WAVE = 13
TAXI = 8
HALT = 10
LINK = 9

Using the same rule, what number corresponds to the word FAIL?

Hint:

Write the words in block capital letters and count something about the way they are drawn.

Solution:

In block capitals each straight stroke counts as one unit:

  • W = 4 strokes
  • A = 3 strokes
  • V = 2 strokes
  • E = 4 strokes

Therefore WAVE = 4 + 3 + 2 + 4 = 13.

Applying the same idea to FAIL:

  • F = 3 strokes
  • A = 3 strokes
  • I = 1 stroke
  • L = 2 strokes

FAIL = 3 + 3 + 1 + 2 = 9.

The required value is 9.


23. Counting Pets With Unique Exceptions

How many animals do I have at home, knowing that all are dogs except for two, all are cats except for two, and that all are turtles except for two?

Hint:

Think about the total number of animals and how the categories overlap.

Solution:

You have 3 animals: 1 dog, 1 cat, and 1 turtle.


24. Find the Odd One Out

Find the odd one out.

1, 5, 9, 15, 25, 37, 49

445, 221, 109, 46, 25, 11, 4

3, 2, 8, 9, 13, 22, 18, 32, 23, 42

Solution:

Likely answers:

15 is odd, because the others fit a cleaner pattern:
1, 5, 9, 13, 25, 37, 49 would mostly follow adding 4, 4, 4, 12, 12, 12.
So 15 should probably be 13.

46 is odd.
The differences should halve each time:

445 - 221 = 224
221 - 109 = 112
109 - 53 = 56
53 - 25 = 28
25 - 11 = 14
11 - 4 = 7

So 46 should be 53.

9 is odd.
Split into alternating sequences:

Odd positions: 3, 8, 13, 18, 23, adding 5 each time.
Even positions should be: 2, 12, 22, 32, 42, adding 10 each time.

So 9 should be 12.

Final: 15, 46, 9.


25. Lies Among the Henchmen

Sharky, a leader of the underworld was killed by one of his own band of four henchmen. Detective Sharp interviewed the men and determined that all were lying except for one. He deduced who killed Sharky on the basis of the following statements:

a. Socko: Lefty killed Sharky.

b. Fats: Muscles did not kill Sharky.

c. Lefty: Muscles was shooting craps with Socko when Sharky was knocked off.

d. Muscles: Lefty did not kill Sharky.

Solution:

Muscles killed Sharky.



27. Apple Picking Puzzle

Three people picked 65 apples altogether. At the first tree they each picked the same number of apples. At the second tree they each picked 3 times as many as they picked at the first tree. When they finished at the third tree, the group had 5 times as many apples as they had when they started at that tree. At the fourth tree the group picked just 5 apples. How many apples did each person pick at the first tree?

Solution:

Each person picked 1 apple at the first tree.



29. Siblings in a Family

A boy has as many sisters as brothers, but each sister has only half as many sisters as brothers. How many boys and how many girls are there in the family?

Hint:

Consider the relationships between the number of boys and girls in the family.

Solution:

There are 4 boys and 3 girls in the family.


30. Children and Oranges

Several children sharing oranges. If each child takes 1 orange, there will be 1 orange remaining. However, if each child takes 2 oranges, then the last child will get nothing. How many children and oranges are there?

Hint:

Consider the total number of oranges in relation to the number of children.

Solution:

There are 3 children and 5 oranges.


31. How Many Flowers?

A temple has 9 doors. At each door stands 1 priest.

Each priest has 9 wives, and each wife has 6 children.

Every child owns 9 baskets, and each basket contains 9 flowers.

How many flowers are there in total?

Hint:

Work step by step: doors → priests → wives → children → baskets → flowers. Multiply at each level.

Solution:

Number of priests = 9 doors × 1 priest/door = 9.
Number of wives = 9 priests × 9 wives/priest = 81.
Number of children = 81 wives × 6 children/wife = 486.
Number of baskets = 486 children × 9 baskets/child = 4,374.
Number of flowers = 4,374 baskets × 9 flowers/basket = 39,366.

Total flowers: 39,366.


32. Kate and Her Son's Ages

5 years ago, Kate was 5 times as old as her son. 5 years hence, her age will be less than three times the corresponding age of her son.

Solution:

Kate is 30 years old, and her son is 10 years old.


33. Measure 4 Litres of Oil

There is an 8 litres container containing oil. There are 2 empty containers of 3 litres & 5 litres capacity. Using these containers, how will you measure exactly 4 litres of oil?

Hint:

Think about how you can use the containers to transfer oil between them to achieve the desired measurement.

Solution:

1. Fill the 5-litre container from the 8-litre container.

2. Pour oil from the 5-litre container into the 3-litre container until the 3-litre container is full. This leaves you with 2 litres in the 5-litre container.

3. Empty the 3-litre container.

4. Pour the remaining 2 litres from the 5-litre container into the 3-litre container.

5. Fill the 5-litre container again from the 8-litre container.

6. Pour from the 5-litre container into the 3-litre container until the 3-litre container is full. Since it already has 2 litres, you can only add 1 more litre.

7. This leaves you with exactly 4 litres in the 5-litre container.


34. Find the Next Number in the Sequence

Find the next number in the series:

18, 10, 6, 4, ?

Hint:

Look at the differences between consecutive terms. What happens to those differences each step?

Solution:

The successive differences are:
10 − 18 = −8
6 − 10 = −4
4 − 6 = −2

Each difference is exactly half of the previous one (−8, −4, −2, …). Halving −2 gives −1, so the next term is:

4 + (−1) = 3

Answer: 3


35. Family Relation Puzzle

What relation would your father's sister's sister-in-law be to you?

Hint:

Consider the relationships in your family tree.

Solution:

Your father's sister's sister-in-law is your mother.


36. Common Number Countdown

Nitin was counting down from 32. Shasank was counting upwards, the numbers starting from 1 and he was calling out only the odd numbers. Which common number will they call out at the same time if they were calling out at the same speed?

Solution:

The common number they will call out at the same time is 17. Nitin counts down: 32, 31, 30, ..., 17, 16, ... and Shasank counts up: 1, 3, 5, ..., 17, ...


37. Next Number in Series

Which number will be the next in the following series- 18 10 6 4 ?

Solution:

The pattern decreases by 8, then 4, then 2. Following this pattern, the next decrease would be by 1, so the next number is 3.


38. Wittnesses

At a recent trial in Justiceville, the prosecutor, Mr. Jones, called five witnesses to the stand, after which the defense attorney, Ms. Smith, called five more witnesses. From this information and the clues, can you determine the first name (one is Diane) and last name (one is Anderson) and occupation (one is an accountant) of each of the ten witnesses and the order in which they testified?

* The five called to the stand by Mr. Jones were, in no particular order: Kathy, Mark, Mr. Ducklow, Ms. Olson, and the computer programmer.
* Ms. Smith's five witnesses were, in no particular order: John, Sandra, Ms. Fuller, Mr. Simpson and the secretary.
* Neither Mark nor Kathy is the pilot.
* Mary testified just before Miller, who was before the author, but not just before.
* John is not the teacher.
* Thompson, who is not Mary, testified just before the dentist.
* The mechanic, who was not on the stand first, testified before McNeil, but not just before.
* Frank testified just before the teacher who was just before Ms. Fuller.
* The bank teller testified before Zimmer, but not just before.
* Anne, who is a musician, testified just before Williams and just after the pilot.
* The computer programmer was not just before the secretary.
* Ms. Smith did not call Glenn or Betty.
* Mark testified before Betty, but not just before.

Solution: None

39. Where Must Dracula Be

There is one and only one Dracula
This Dracula is locked in three and only three caskets
One is solid red, one is solid yellow, one is solid blue
The caskets have inscriptions
Red says, Dracula is here (meaning inside the casket)
Yellow says, Dracula is not here (not inside the casket)
Blue says, Dracula is not in the red casket
At most one inscription is true

Where must Dracula be

Solution:

Dracula is in the yellow casket.


40. The King's Code

A king throws a man in the dungeon, the man has been accused of stealing. The man claims to be a famous philosopher from a distant land. To test the man's claim the king gives him 5 clues to figure out a 3 digit number. The first clue says, 682 one digit is right and in its right place. The second clue says, 614 one digit is right but in the wrong place. The third clue says, 206 two digits are right but both are in the wrong place. The fourth clue says, 738 all digits are wrong. The fifth clue says, 380 one digit is right but in its wrong place.

Solution:

042


41. Three Suspects, One Dead Man

MARK was found dead. He was shot one morning. The police by night fall had three suspect behind bars, the men were questioned and they made the following statements;

IMEH; I did not do it. I never saw JOHN before. I knew MARK.

JAMES; I did not do it. IMEH and EMEM are my friends. IMEH never killed anybody.

EMEM; I did not do it. IMEH lied when he said that he had not seen JAMES before. I don't know who did it.

If one and only one of each man's statement is false and only one of them is guilty. Then who is the murderer?

Hint:

Consider the implications of each statement being true or false and how they relate to each other.

Solution:

IMEH is the murderer.


42. Seating Arrangement Puzzle

There are 12 persons A, B, C, P, R, Q, D, E, S, T, U, and F, in which 6 persons are facing north direction and other 6 are facing south direction. Those persons who are facing south direction belong to 6 different departments as teacher, doctor, scientist, engineer, manager, and architecture and the other six persons who face north like 6 different colors like red, green, pink, yellow, blue, and orange but not necessarily in the same order.

The person who likes red color sits 3rd to the left of R, who does not like pink and blue color. The one who faces R is 2nd to the left of the engineer who is not a neighbor of architecture and manager. Scientist is facing T who is at one corner. A is a doctor and facing a person who likes yellow color. A is not at any of the corners. The person who likes pink color is 3rd to the right of U. Q likes red color. B is a manager and 2nd to the left of the doctor. The person who likes orange color is a neighbor of the person who likes pink color. P likes neither blue nor yellow color. D is a neighbor of C and A. F is not a neighbor of C. E is architecture but not a neighbor of scientist. The person who likes green color is not a neighbor of blue and orange. S is not a neighbor of T. The one who likes blue color is not a neighbor of red.

Solution: None

43. Must Margarita Also Buy a Car?

Consider the following statements about Margarita and Genaro:

1. If Margarita buys a house, then either Genaro gives her roses or she is happy with her decisions.
2. If Genaro gives her roses, then Margarita does not buy a house.
3. If Margarita does not buy a car, then she is not happy with her decisions.

Does Margarita buy a house?

Solution:

Yes

  • 1: Margarita buys a house.
  • 2: Genaro can't give her roses, as she just bought a house
  • 3: Therefore Margarita is happy with her decisions.
  • 4: Therefore Margarita buys a car.

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