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Grey Orange aptitude question, verified with a worked answer. Free to practise - no sign-up.
Travel Puzzle 2 ALL Four couples, the Maceys, Makins, Salmons, and Ainsworths, each used a different mode of transportation, car, airplane, bus, or ship to reach their vacation use? 1 1. Parker is not married to Paula and did not travel by airplane. 2. David Macey and his wife departed from Miami and did not travel by car. 3. Richard and his wife Rebecca did not travel by bus and did not depart from Memphis. 2 4. Mike is not married to Ruby Ainsworth. Mike traveled by bus and did not depart from Dallas. 5. Kinsley is not married to Mr. Makin and departed from Washington. 3 6. The Salmons did not travel by airplane. 7. The couple from Memphis traveled by ship. 4 Pick ONE option --- [PAGE/IMAGE BREAK] --- a Ss ia @) 2. David Macey and his wife departed from Miami and did not travel by car. 3. Richard and his wife Rebecca did not travel by bus and did not depart from Memphis. 4. Mike is not married to Ruby Ainsworth. Mike traveled by bus and did not depart from Dallas. ALL 5. Kinsley is not married to Mr. Makin and departed from Washington. 6. The Salmons did not travel by airplane. 1 ; . Pick ONE option - (_) bus 3 () airplane . ( ) ship = _) car - A) destination. They each left from different cities: Miami, Memphis, Dallas, and Washington. Given the following statements, which transport did the Salmons - B) 7. The couple from Memphis traveled by ship.
Show answer & explanation
By eliminating other transport modes for the Salmons based on the constraints (they didn't use airplane, ship is linked to Memphis, and bus is used by Mike), the only remaining option for the Salmons is the car.
Step-by-step Derivation:
Step 1: Identify the couples and variables. Couples: Macey, Makin, Salmon, Ainsworth. Transport: Car, Airplane, Bus, Ship. Cities: Miami, Memphis, Dallas, Washington.
Step 2: Analyze the constraints:
- David Macey: From Miami, NOT car. (Possible: Airplane, Bus, Ship)
- Mike: Traveled by Bus, NOT from Dallas. (Since he is a husband, he is either Makin, Salmon, or Ainsworth)
- Memphis couple: Traveled by Ship.
- Salmons: NOT airplane.
Step 3: Determine the Salmons' transport: - The Salmons cannot be the Memphis couple because the Memphis couple used the ship, and if the Salmons were from Memphis, they would use the ship. However, we must check other constraints.
- Mike used the Bus. If Mike is a Salmon, the Salmons used the Bus. If Mike is not a Salmon, the Salmons did not use the Bus.
- Let's map the husbands: David Macey, Richard, Mike, and Parker.
- David Macey (Miami) $\neq$ Car.
- Mike = Bus $\neq$ Dallas.
- Richard $\neq$ Bus, $\neq$ Memphis (so Richard $\neq$ Ship).
- Parker $\neq$ Airplane.
Step 4: Assigning transport to couples: - Memphis = Ship.
- Mike = Bus. Since Mike is not Macey (David), he is either Makin, Salmon, or Ainsworth.
- Richard is not Bus and not Ship (since he's not from Memphis). Richard must be Airplane or Car.
- David Macey is from Miami. He is not Car. He is not Ship (Memphis). He is not Bus (Mike). Therefore, David Macey = Airplane.
- Since David Macey = Airplane, Richard must be Car.
- Now we have: Macey (Airplane), Richard (Car), Mike (Bus), and the remaining husband Parker must be Ship (Memphis).
Step 5: Identify Richard's surname. - Mike is not married to Ruby Ainsworth. Mike is not Macey. Mike is either Makin or Salmon.
- Kinsley is not married to Mr. Makin. Kinsley is from Washington.
- If Richard is the Salmon, the Salmons used the car. Let's verify: Salmons $\neq$ Airplane (Correct, they are Car). Macey = Airplane, Mike = Bus, Parker = Ship. This satisfies all conditions.