Oranges

Logic Level 3

Sitting at your front door, you find 5 oranges, but you are told that one orange is heavier than ever other orange, one orange is lighter than every other orange, and all the other 3 oranges have the same weight.

You are also told that the absolute difference between the heavier orange to the normal orange is equals to the absolute difference between the lighter orange and the normal orange.

You have a balance scale to measure the weights.

What is the least number of measurements needed to find both oddly weighted oranges?

Challenge : Can you try this for more oranges?

7 6 5 8 2 4 3 1

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Ashwin Padaki by Ashwin Padaki , 20, USA

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1 solution

Abin Das
Jun 9, 2015

Take any 2 pairs of oranges .

Case 1: Both do not balance.

Then take the heavier from one and lighter from the other and balance again.If they balance, the odd ones are the ones left behind in the pairs.Else they will both be the odd ones themselves.Hence we can find the heavier and lighter using three weighings.

Case 2:Only one balances.

Then the left out orange will also be an odd one. Weigh any one from the unbalanced pair with a normal .Hence we can again find the odd ones using three weighings.

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is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r 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i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater

Matthew Tam - 6 years ago

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crazy person spotted...9gag would suit you better

infinity moon - 5 years, 12 months ago

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