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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 starts with 30 weights and is told that the odd weight is lighter than the rest, how many iterations will he require to definitely find out the incorrect weight?
- a)3
- b)4
- c)5
- d)6
Correct answer is option 'B'. Can you explain this answer?
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A competition requires Rahul to identify the odd weight in a group of ...
In this case, it is known that the odd weight is lighter.
Rahul will start by dividing the weights into equal lots of 10 weights each.
Iteration 1: Compare Lot 1 and Lot 2.
If they are equal then the odd weight is in Lot 3.
If they are unequal, the odd weight is in the Lot where the pan (of the pan balance) has gone up.
Hence, at the end of the first iteration, Rahul will know which lot of 10 weights has the odd weight.
Iteration 2: Subdivide the identified lot into groups of 3, 3 and 4 and compare the weights of the two groups of 3 weights each.
If they are equal then the odd weight is in the third lot of 4 weights.
If, however, they are unequal, then the odd weight is in the lot which has the lesser weight of the two.
Hence, at the end of the second iteration, Rahul has a smaller group of 3 or 4 weights that contains the odd weight.
Iterations 3 and 4: Divide the 3 weights into (1, 1, 1) or the 4 weights into (1, 1,2) and compare the two groups having one weight each.
Thus, as explained in the previous question, Rahul requires two iterations here.
So, Rahul requires 4 iterations to definitely the odd weight in this case.
Hence, option 2.
Rahul will start by dividing the weights into equal lots of 10 weights each.
Iteration 1: Compare Lot 1 and Lot 2.
If they are equal then the odd weight is in Lot 3.
If they are unequal, the odd weight is in the Lot where the pan (of the pan balance) has gone up.
Hence, at the end of the first iteration, Rahul will know which lot of 10 weights has the odd weight.
Iteration 2: Subdivide the identified lot into groups of 3, 3 and 4 and compare the weights of the two groups of 3 weights each.
If they are equal then the odd weight is in the third lot of 4 weights.
If, however, they are unequal, then the odd weight is in the lot which has the lesser weight of the two.
Hence, at the end of the second iteration, Rahul has a smaller group of 3 or 4 weights that contains the odd weight.
Iterations 3 and 4: Divide the 3 weights into (1, 1, 1) or the 4 weights into (1, 1,2) and compare the two groups having one weight each.
Thus, as explained in the previous question, Rahul requires two iterations here.
So, Rahul requires 4 iterations to definitely the odd weight in this case.
Hence, option 2.
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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 starts with 30 weights and is told that the odd weight is lighter than the rest, how many iterations will he require to definitely find out the incorrect weight?a)3b)4c)5d)6Correct answer is option 'B'. Can you explain this answer?
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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 starts with 30 weights and is told that the odd weight is lighter than the rest, how many iterations will he require to definitely find out the incorrect weight?a)3b)4c)5d)6Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 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 starts with 30 weights and is told that the odd weight is lighter than the rest, how many iterations will he require to definitely find out the incorrect weight?a)3b)4c)5d)6Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 starts with 30 weights and is told that the odd weight is lighter than the rest, how many iterations will he require to definitely find out the incorrect weight?a)3b)4c)5d)6Correct answer is option 'B'. Can you explain this answer?.
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 starts with 30 weights and is told that the odd weight is lighter than the rest, how many iterations will he require to definitely find out the incorrect weight?a)3b)4c)5d)6Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 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 starts with 30 weights and is told that the odd weight is lighter than the rest, how many iterations will he require to definitely find out the incorrect weight?a)3b)4c)5d)6Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 starts with 30 weights and is told that the odd weight is lighter than the rest, how many iterations will he require to definitely find out the incorrect weight?a)3b)4c)5d)6Correct answer is option 'B'. Can you explain this answer?.
Solutions for 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 starts with 30 weights and is told that the odd weight is lighter than the rest, how many iterations will he require to definitely find out the incorrect weight?a)3b)4c)5d)6Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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