Comprehension
A company has four offices, numbered
1, 2, 3, and 4. Each of its offices has
exactly one computer and exactly one
printer. Each of these eight machines
was bought in either 2019, 2020 or 2021
The eight machines were bought in a
manner consistent with the following
conditions:
(i) In all the four offices, computers are bought earlier than printers or in the same year.
(ii) Computer in office 2 and printer in office 1 are bought in the same year.
(iii) Computer in office 3 and printer in office 4 are bought in the same year.
(iv) Computer in office 2 and Computer in office 3 are not purchased in the same year.
(v) Computer in office 1 and Printer in Office 3 are purchased in the same year 2020.
(i) In all the four offices, computers are bought earlier than printers or in the same year.
(ii) Computer in office 2 and printer in office 1 are bought in the same year.
(iii) Computer in office 3 and printer in office 4 are bought in the same year.
(iv) Computer in office 2 and Computer in office 3 are not purchased in the same year.
(v) Computer in office 1 and Printer in Office 3 are purchased in the same year 2020.
Question: 1
If the computer in office 3 is bought earlier than the printer in the same office, then
If the computer in office 3 is bought earlier than the printer in the same office, then
Show Hint
Analyzing conditions in sequence can simplify complex logical deductions, especially in cases involving chronological order.
Updated On: Feb 27, 2025
- Printer in office 1 is bought in 2019
- Computer in office 2 is bought in 2019
- Printer in office 4 is bought in 2019
- Computer in office 1 is bought in 2019
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The Correct Option is C
Solution and Explanation
Step 1: Given that the computer in office 3 is bought before the printer, and the computer and printer in office 3 are bought in different years due to condition (iv), we know the computer is from 2019 or earlier because of the 2020 pairing in condition (v) with another office's printer.
Step 2: Since condition (iii) states the computer in office 3 and printer in office 4 are bought in the same year, it implies the printer in office 4 was also bought in 2019, the year before 2020.
Step 2: Since condition (iii) states the computer in office 3 and printer in office 4 are bought in the same year, it implies the printer in office 4 was also bought in 2019, the year before 2020.
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Question: 2
If the computer in office 3 is bought earlier than the printer in the same office and printer in office 1 is bought during 2021, then printer in office 2 is bought during
If the computer in office 3 is bought earlier than the printer in the same office and printer in office 1 is bought during 2021, then printer in office 2 is bought during
Show Hint
When analyzing year-based questions, track the relationships and order of purchases to correctly deduce the missing information.
Updated On: Feb 27, 2025
- 2019
- 2020
- 2021
- 2020 or 2021
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The Correct Option is D
Solution and Explanation
Step 1: Based on the conditions, we know that the computer in office 3 is bought before the printer in the same office, and the printer in office 1 is bought in 2021.
Step 2: Apply the sequential conditions and the relationship between the years of purchase for the other offices.
Step 3: Conclude that the printer in office 2 can be bought either in 2020 or 2021, based on the exclusion of 2019 for the other purchases.
Step 2: Apply the sequential conditions and the relationship between the years of purchase for the other offices.
Step 3: Conclude that the printer in office 2 can be bought either in 2020 or 2021, based on the exclusion of 2019 for the other purchases.
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Question: 3
If the computer and printer in office 3 are bought in the same year, then
If the computer and printer in office 3 are bought in the same year, then
Show Hint
When solving logical deduction problems with multiple variables, focus on how each statement constrains the others.
Updated On: Feb 27, 2025
- Printer in office 2 and printer in office 3 are bought in the same year
- Computer and printer in office 2 are purchased in 2021
- Printer in office 1 is bought during 2019
- Printer in office 4 is bought during 2019
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The Correct Option is A
Solution and Explanation
Step 1: Based on the conditions, if the computer and printer in office 3 are bought in the same year, the corresponding printer in office 2 must also be bought in the same year due to condition (iii).
Step 2: Analyze other options using conditions (ii) and (v). The other statements do not hold true as they contradict established relationships between office purchases.
Step 2: Analyze other options using conditions (ii) and (v). The other statements do not hold true as they contradict established relationships between office purchases.
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Question: 4
If the computer and printer in office 3 are bought in the same year, then the computer in office 4 is bought during
If the computer and printer in office 3 are bought in the same year, then the computer in office 4 is bought during
Show Hint
When working through problems involving years and relationships, always exclude conflicting years and logically narrow down the possibilities.
Updated On: Feb 27, 2025
- 2020
- 2021
- 2019
- 2020 or 2019
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The Correct Option is D
Solution and Explanation
Step 1: If the computer and printer in office 3 are bought in the same year, we can deduce the relationships for the other offices' purchase years.
Step 2: Considering the constraints and the exclusion of 2021 for office 3's purchases, the computer in office 4 must have been bought either in 2020 or 2019.
Step 2: Considering the constraints and the exclusion of 2021 for office 3's purchases, the computer in office 4 must have been bought either in 2020 or 2019.
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