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Group Question
Answer the following question based on the information given below.
A competition requires Rahul to identify the odd weight in a group of weights, given that all the remaining weights are equal. He is given a regular pan balance to complete this task.
Q. If Rahul is initially given 15 weights, how many iterations will he need to definitely pin-point the odd weight and whether it heavier or lighter than the other wieghts?
  • a)
    3
  • b)
    4
  • c)
    5
  • d)
    6
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Group QuestionAnswer the following question based on the information g...
Here, it is not known whether the odd weight is heavier or lighter.
To begin, Rahul needs to divide the 15 weights into three lots of five weights each.
Iterations 1 and 2: Compare Lot 1 and Lot 2.
If these lots are equal, the odd weight is definitely in the third lot. In that case, compare either Lot 1 or 2 with Lot 3 to identify whether the odd weight is heavier or lighter.
If these lots are unequal, the odd weight is in one of Lot 1 or 2 and the other is equal to Lot 3. So, compare either Lot 1 with Lot 3. If they are equal, the odd weight is in Lot 2, else it is in Lot 1. Also, whether the odd weight is heavier or lighter can be identified at this stage.
Irrespective of the outcome, a Lot of 5 weights (that has the odd weight) can be identified at the end of iteration 2.
Iterations 3 and 4: Divide the Lot of 5 weights into 2, 2 and 1 and compare the two groups of 2 weights each.
If they are equal, the odd weight is the single weight that is left out. In this case, Rahul can pin point the odd weight at the end of the third iteration.
If they are unequal and knowing whether the odd weight is lighter or heavier, Rahul can know which group has the odd weight.
Comparing just these two weights in the next iteration helps Rahul find the odd weight.
So, Rahul can definitely pin point the odd weight at the end of the fourth iteration.
Hence, option 2.
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Group QuestionAnswer the following question based on the information given below.A competition requires Rahul to identify the odd weight in a group of weights, given that all the remaining weights are equal. He is given a regular pan balance to complete this task.Q.If Rahul is initially given 15 weights, how many iterations will he need to definitely pin-point the odd weight and whether it heavier or lighter than the other wieghts?a)3b)4c)5d)6Correct answer is option 'B'. Can you explain this answer?
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