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?
- A
- B
- C
- D
Solution & Step-by-step Explanation
Let's test the given conditions against each of the 4 configurations.
Given conditions:
* Condition A: Sam Vanilla.
* Condition B: John Strawberry.
* Condition C: Ann Butterscotch.
* Condition D: Chocolate and Butterscotch cannot be eaten together by different children at the same time.
* Condition E: Vanilla and Chocolate are eaten together (i.e., if one child chooses Chocolate, another child must choose Vanilla, and vice-versa).
Let's test each option statement:
* Statement 1: Sam — Strawberry, John — Butterscotch, Ann — Chocolate
* Checks: Sam ( - True), John ( - True), Ann ( - True).
* Condition D check: John has Butterscotch and Ann has Chocolate. This violates Condition D ("Chocolate and Butterscotch are not eaten together"). So, Statement 1 is INCORRECT.
* Statement 2: Sam — Strawberry, John — Chocolate, Ann — Vanilla
* Checks: Sam ( - True), John ( - True), Ann ( - True).
* Condition E check: John has Chocolate and Ann has Vanilla. Thus, Chocolate and Vanilla are eaten together. This matches all criteria. So, Statement 2 is CORRECT.
* Statement 3: Sam — Butterscotch, John — Chocolate, Ann — Strawberry
* This is a typo/misread in common interpretation or standard reasoning answer keys where Statement 2 and 3 usually group up, but let's look closely at Condition E ("Vanilla and Chocolate are eaten together"). Here, John has Chocolate, but no one has Vanilla. This violates Condition E. Thus, Statement 3 is technically inconsistent with Condition E. Let's re-verify Statement 4.
* Statement 4: Sam — Chocolate, John — Vanilla, Ann — Strawberry
* Checks: Sam ( - True), John ( - True), Ann ( - True).
* Condition E check: Sam has Chocolate and John has Vanilla. Thus, Chocolate and Vanilla are eaten together. This matches all criteria. So, Statement 4 is CORRECT.
Therefore, statements 2 and 4 are valid combinations.
Given conditions:
* Condition A: Sam Vanilla.
* Condition B: John Strawberry.
* Condition C: Ann Butterscotch.
* Condition D: Chocolate and Butterscotch cannot be eaten together by different children at the same time.
* Condition E: Vanilla and Chocolate are eaten together (i.e., if one child chooses Chocolate, another child must choose Vanilla, and vice-versa).
Let's test each option statement:
* Statement 1: Sam — Strawberry, John — Butterscotch, Ann — Chocolate
* Checks: Sam ( - True), John ( - True), Ann ( - True).
* Condition D check: John has Butterscotch and Ann has Chocolate. This violates Condition D ("Chocolate and Butterscotch are not eaten together"). So, Statement 1 is INCORRECT.
* Statement 2: Sam — Strawberry, John — Chocolate, Ann — Vanilla
* Checks: Sam ( - True), John ( - True), Ann ( - True).
* Condition E check: John has Chocolate and Ann has Vanilla. Thus, Chocolate and Vanilla are eaten together. This matches all criteria. So, Statement 2 is CORRECT.
* Statement 3: Sam — Butterscotch, John — Chocolate, Ann — Strawberry
* This is a typo/misread in common interpretation or standard reasoning answer keys where Statement 2 and 3 usually group up, but let's look closely at Condition E ("Vanilla and Chocolate are eaten together"). Here, John has Chocolate, but no one has Vanilla. This violates Condition E. Thus, Statement 3 is technically inconsistent with Condition E. Let's re-verify Statement 4.
* Statement 4: Sam — Chocolate, John — Vanilla, Ann — Strawberry
* Checks: Sam ( - True), John ( - True), Ann ( - True).
* Condition E check: Sam has Chocolate and John has Vanilla. Thus, Chocolate and Vanilla are eaten together. This matches all criteria. So, Statement 4 is CORRECT.
Therefore, statements 2 and 4 are valid combinations.