Seven Dwarfs

Logic Level 3

There are 7 dwarfs arranged in a respective age order: A (eldest), B, C, D, E, F, & G (youngest). The 7 of them all have distinct birth days in a week, and the order is not quite as simple as their ages. When you interview the 7 dwarfs, this is what they tell you:

Sunday dwarf : I'm younger than Monday dwarf but older than Tuesday one.

Monday dwarf : I'm older than both Tuesday and Wednesday dwarfs.

Tuesday dwarf : I'm younger than both Wednesday and Thursday dwarfs.

Wednesday dwarf : I'm younger than Thursday dwarf but older than Friday one.

Thursday dwarf : I'm older than both Friday and Saturday dwarfs.

Friday dwarf : I'm younger than the Saturday dwarf but older than the Sunday one.

Saturday dwarf : I'm older than both Sunday and Monday dwarfs.

Starting from Sunday to Saturday, what is the order of the newly arranged dwarfs? (Use 1 to 7 for A to G respectively. For example, if you think the week day order is ABCDEFG, enter 1234567.)

Credit: Walt Disney


The answer is 6374152.

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Worranat Pakornrat by Worranat Pakornrat , 36, Thailand

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1 solution

From the list, all dwarfs state "older" in their comments except Tuesday dwarf, so he must be G (youngest) as he can't be older than anyone else.

Then there are 3 dwarfs that exclusively state that they are older than the other dwarfs: Monday, Thursday, and Saturday dwarfs. And from the list, Thursday is older than Saturday, who is older than Monday one. So Thursday dwarf must be A (eldest).

Recollecting the data, only Monday and Saturday dwarfs are said to be older than other three neighboring dwarfs (they are only younger than A) while the other dwarfs are at most older than 2 dwarfs. Thus, either Saturday or Monday one is B. Since Saturday is older than Monday one, B is the Saturday dwarf, and C is the Monday dwarf.

Comparing the rest of the days, Wednesday dwarf is older than Friday one, who is older than Sunday one. Therefore, the order is D, E, F for Wednesday, Friday, and Sunday respectively.

Finally, starting from Sunday, the order is FCGDAEB or 6374152 for the answer.

2 Helpful 0 Interesting 0 Brilliant 0 Confused

I entered 5724613. It satisfies all the statements. Please clarify.

Ashish Menon - 5 years, 5 months ago

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Are you sure you start from Sunday to Saturday? Your answer doesn't seem to satisfy all conditions. For example, for Tuesday, the dwarf should be the youngest (please see my solution for more detail) and so the number should be 7 in the third place. Please check your answer again.

Worranat Pakornrat - 5 years, 5 months ago

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yes, i did in descending order of their ages. it satisfies all the conditions of the equation.

Ashish Menon - 5 years, 5 months ago

Yes, Tuesday dwarf is the youngest. And so I have kept number 3 in the last place

Ashish Menon - 5 years, 5 months ago

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@Ashish Menon – That's the point. You have to arrange the order according to the day order, not the A-G order.

Worranat Pakornrat - 5 years, 5 months ago

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@Worranat Pakornrat – Yes, but my answer satisfies all the conditions of the question

Ashish Menon - 5 years, 5 months ago

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@Ashish Menon – If you think that Tuesday dwarf is the youngest, the 7 should be in the third place, not last. I'll repeat that you read my solution again please.

Worranat Pakornrat - 5 years, 5 months ago

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@Worranat Pakornrat – Ok!!! We have write numbers in the places of the days. I thought, we have write the number of the day in descending order of ages. I got Tuesday dwarf youngest. It is the third day of the week. As it is youngest, I placed number 3 pin last place. Ok, sorry for the inconvenience. Thank you!!

Ashish Menon - 5 years, 5 months ago

@Worranat Pakornrat – And, sorry for the disturbance.Please clarify.

Ashish Menon - 5 years, 5 months ago

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