Comprehension

A factory utilizes a single, continuous conveyor belt for transporting various sized components. Smaller components can be placed individually on the belt, while larger components occupy two consecutive spaces. Components are added to the first available empty space(s) on the belt. To track components, they are assigned unique identification numbers in the order they are placed on the belt. The belt's configuration at any point is represented by a sequence of component numbers (for occupied spaces) or the letter 'E' (for empty spaces). For example, a belt with components 1, 2, and 3 (where 2 is larger) followed by two empty spaces would be represented as: 1, 2, 3, E, E. The arrangement of components on the belt is dynamic as components are continuously added and removed.

Question: 1

If the sequence at a certain point is 5, E, 8, 7, 9 and it is known that component 2 is a larger component, which of the following MUST be true?

Updated On: Sep 17, 2024
  • Component 2 arrived before component 5.
  • Component 2 arrived after component 7
  • There is no larger component between components 5 and 8
  • Component 9 is a smaller component.
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The Correct Option is A

Solution and Explanation

If component 2 is larger, it would occupy two spaces. Since component 5 is at the beginning of the sequence, there must have been a space before it, which could only be occupied by the second part of component 2.
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Question: 2

Given the sequence 4, 6, E, 9, 3, 7, if component 4 is a larger component and component 7 is a smaller component, what is the minimum number of components that must have been on the belt before component 3 arrived?

Updated On: Sep 17, 2024
  • 2
  • 3
  • 4
  • 5
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The Correct Option is B

Solution and Explanation

Component 4 is larger, so it occupies two spaces. To accommodate components 6 and 9 after it, there must have been at least one empty space after component 4. This means components 1, 2, and 3 were present before component 4 arrived
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Question: 3

If the sequence changes from 2, 5, E, 7 to 2, 6, 7, E, and it is known that component 6 is a larger component, which of the following could be true about component 5?

Updated On: Sep 17, 2024
  • Component 5 is a larger component
  • Component 5 left the belt between the two given sequences.
  • Component 5 arrived after component 7.
  • None of the above
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The Correct Option is B

Solution and Explanation

In the first sequence, there's an empty space after component 5. In the second sequence, component 6 (a larger component) occupies this space. This is only possible if component 5 left the belt.
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Question: 4

If the sequence at one point is 1, 4, E, 6, 5 and later changes to 1, 4, 7, 6, 5, E, which of the following is definitely true?

Updated On: Aug 22, 2024
  • Component 7 is larger than component 4
  • There was no component between components 4 and 6 in the first sequence.
  • A larger component left the belt between the two sequences
  • Component 5 is a smaller component
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The Correct Option is C

Solution and Explanation

There's an empty space after component 6 in the first sequence but not in the second. To accommodate component 7, something (which must be a larger component) must have left the belt to create the necessary space
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Question: 5

If the sequence 3, E, 6, 5 represents the belt after several components have been added and removed, what is the maximum number of components that could have been on the belt at some point before this sequence?

Updated On: Aug 22, 2024
  • 5
  • 6
  • 7
  • Cannot be determined
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The Correct Option is C

Solution and Explanation

Maximum components would be achieved if every other component is a larger one. So, we can have a maximum of 3 larger components. With 4 empty spaces between them, we can fit in a maximum of 4 smaller components. Total: 3 larger + 4 smaller = 7 components
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