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Five friends, Manish, Naresh, Pavan, Salman, and Tarun, who live in the same flat, bought a cake one evening. All of them decided to eat the cake together the next morning and stored the cake in the refrigerator. However, during the night, at different times, each of the five friends sneaked to the refrigerator and ate some portion of the cake without each other’s knowledge. They did so exactly once. The next morning, the five friends found that only one-eighth of the cake was remaining.Further, it is also known thatnone of them ate more than half of the cake that was remaining at the time they went to eat the cake.Tarun ate half of the cake that was remaining when he went to eat it and Manish ate the same quantity of cake as Tarun did.Salman ate the cake after Pavan did, and after Salman finished eating, more than one-eighth of the cake was remaining.the person who ate last ate only one-fourth of the cake that was remaining when he went to eat it and Tarun ate the cake before Salman did.when Manish went to eat a portion of the cake, only four-fifths of the cake was remaining.Question:16DIRECTIONS for question 16 to 20: Select the correct alternative from the given choices.Who was the last person to eat the cake during the night?SalmanTarunNareshManish

Question

Five friends, Manish, Naresh, Pavan, Salman, and Tarun, who live in the same flat, bought a cake one evening. All of them decided to eat the cake together the next morning and stored the cake in the refrigerator. However, during the night, at different times, each of the five friends sneaked to the refrigerator and ate some portion of the cake without each other’s knowledge. They did so exactly once. The next morning, the five friends found that only one-eighth of the cake was remaining.Further, it is also known thatnone of them ate more than half of the cake that was remaining at the time they went to eat the cake.Tarun ate half of the cake that was remaining when he went to eat it and Manish ate the same quantity of cake as Tarun did.Salman ate the cake after Pavan did, and after Salman finished eating, more than one-eighth of the cake was remaining.the person who ate last ate only one-fourth of the cake that was remaining when he went to eat it and Tarun ate the cake before Salman did.when Manish went to eat a portion of the cake, only four-fifths of the cake was remaining.Question:16DIRECTIONS for question 16 to 20: Select the correct alternative from the given choices.Who was the last person to eat the cake during the night?SalmanTarunNareshManish

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Solution

The last person to eat the cake during the night was Naresh.

Here's the step-by-step reasoning:

  1. Tarun ate half of the cake that was remaining when he went to eat it and Manish ate the same quantity of cake as Tarun did. This means Tarun and Manish ate the same amount of cake.

  2. Salman ate the cake after Pavan did, and after Salman finished eating, more than one-eighth of the cake was remaining. This means Salman cannot be the last person to eat the cake.

  3. The person who ate last ate only one-fourth of the cake that was remaining when he went to eat it. This cannot be Tarun or Manish because they ate half of the remaining cake, not one-fourth.

  4. When Manish went to eat a portion of the cake, only four-fifths of the cake was remaining. This means Manish cannot be the last person to eat the cake.

  5. Tarun ate the cake before Salman did. This means Tarun cannot be the last person to eat the cake.

So, by process of elimination, the last person to eat the cake during the night was Naresh.

This problem has been solved

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