Three children, Sam, John and Ann, are eating icecream. Each child eats a different flavour from available flavours, namely Chocolate, Strawberry, Butterscotch and Vanilla.

Sam does not eat Vanilla. John does not eat Strawberry. Ann never eats Butterscotch. Chocolate and Butterscotch are not eaten together. Vanilla and Chocolate are eaten together.

Who eats what flavour from the available options?

1. Sam-Strawberry, John-Butterscotch, Ann-Chocolate

2. Sam-Strawberry, John-Chocolate, Ann - Vanilla

3. Sam-Butterscotch, John - Chocolate, Ann-Strawberry

4. Sam-Chocolate, John - Vanilla, Ann-Strawberry

Which of the above could be correct?

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  1. 1 and 3
  2. 2 and 3
  3. 3 and 4
  4. 2 and 4

Answer (Detailed Solution Below)

Option 4 : 2 and 4
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Detailed Solution

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Given :  

  • Three children, Sam, John and Ann, are eating icecream.
  • Each child eats a different flavour from available flavours, namely Chocolate, Strawberry, Butterscotch and Vanilla.

Conditions given :-

  • Sam does not eat Vanilla.
  • John does not eat Strawberry.
  • Ann never eats Butterscotch.
  • Chocolate and Butterscotch are not eaten together.
  • Vanilla and Chocolate are eaten together.

So, according to the question :

1. Sam-Strawberry, John-Butterscotch, Ann-Chocolate ⇒ Not possible

As Vanilla is missing and Ann eats chocolates, therefore does not satisfy the condition of 'Vanilla and Chocolate are eaten together'.

2. Sam-Strawberry, John-Chocolate, Ann - Vanilla ⇒ Possible

Satisfies all the conditions i.e 

  • Sam does not eat Vanilla.
  • John does not eat Strawberry.
  • Ann does not eat Butterscotch.
  • Vanilla (Ann) and Chocolate (John) are eaten together 
  • Chocolate and Butterscotch (missing) are not eaten together 

3. Sam-Butterscotch, John - Chocolate, Ann-Strawberry ⇒ Not possible

As Vanilla is missing and John eats chocolates, therefore does not satisfy the condition of 'Vanilla and Chocolate are eaten together'.

4. Sam-Chocolate, John - Vanilla, Ann-Strawberry ⇒ Possible

Satisfies all the conditions i.e 

  • Sam does not eat Vanilla.
  • John does not eat Strawberry.
  • Ann does not eat Butterscotch.
  • Vanilla (John) and Chocolate (Sam) are eaten together 
  • Chocolate and Butterscotch (missing) are not eaten together 

Here, Statement "2 and 4" is the correct combination.

Hence, "Option - (4)" is the correct answer.

Additional Information1) Chocolate and Butterscotch are not eaten together ⇒ It means if one child eats chocolate, no one else can eat butterscotch and vice-versa.

2) Vanilla and Chocolate are eaten together ⇒ It means if one child eats Vanilla, another must eat butterscotch.

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