The greedy candies

Logic Level 1

Ana, Ena, Ina, Ona and Una are trying to guess how many candies are in a bucket. Ana says that there are 30, while Ena thinks there are 28, and Ina says that there are 29. Lastly, Ona says there are 25 candies in the bucket while Una believes that there are 26. Now, two of them are off by 1 candy and two others were off by 3 and 4, but one person guessed exactly.

How many candies are in the bucket?

28 29 30 31 27

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3 solutions

Atharva Bagul
Oct 25, 2015

So let us first consider some middle value among the above predicted value to be true. Let us take 28 as the correct option: a) First condition goes false as in this case only one is mistaken for 1 candy. Now let us take 29 as the correct option: a) First condition holds true in this case as two are mistaken for 1 candy. b) Second condition also holds true as Una erred by 3 candies and Ona by 4. So the correct answer: There were 29 candies in the pot

Trial and error 👍

Anup Kalambate - 5 years, 7 months ago

How are two mistaken by 1 candy?

Anik Mandal - 5 years, 7 months ago

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Ana and Ena thought, respectively, that there were 30 and 28 candies, Ana erred by adding one and Ena by not subtracting one.

Henrique Formigomi Morais - 5 years, 7 months ago

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yes thanks!

Anik Mandal - 5 years, 7 months ago
Jingyang Tan
Nov 9, 2015

The words I only cared were: 2 people are off by 1 candy. So since Ana and Ena is the only pair that is 2 sweets apart from each other, the one in between is 29, which is Ina. QED.

Youssef Daoud
Nov 8, 2015

29. 2 Off by 1 = 30 Off by 3 = 26 Off by 4 = 25 1 guessed = 29 Exlude 27

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