Comprehension
Questions are based on a set of conditions. In answering some of the questions, it may be useful to draw a rough diagram. Choose the response that most accurately and completely answers each question.
A BPO has assigned duty to nine operators - Abdulla, Ballal, Chandan, Dogra, Eshita, Falguni, Ganguli, Henri and Indra - on Monday, January 05, 2009 from 00:00 hours. Each operator commences duty at any of the following hours: 00:00 hrs, 04:00 hrs, 08:00 hrs, 12:00 hrs, 16:00 hrs and 20:00 hrs. At any point in time, at least one operator is required to take clients' calls. Each operator works continuously for eight hours. All operators located at any single location start work simultaneously. The operators took training in five different colleges: Abhinam College, Sutanama College, Gutakal College, Barala College and Khatamanga College. These colleges are located in the cities Jamshedpur, Pune, Noida, Hyderabad and Mangalore, not necessarily in that order. The operators operate from the cities where their respective colleges are located.
The conditions:
1. Indra operates alone from a city other than Mangalore and Jamshedpur.
2. Operator(s) trained in Abhinam College will start working at 12:00 hrs.
3. Only Dogra and Falguni operate from Pune, but they are not trained in Gutakal College.
4. Three of the operators took training from Sutanama College, and they operate from Noida.
5. The operator(s) from Jamshedpur will start working at 00:00 hrs.
6. Abdulla and Henri operate together as a two-member team from a single location. They do not operate from Mangalore.
7. No operator(s) will join at 20:00 hrs.
8. Ballal, who alone operates from his location, was not trained in Barala College, and will commence his duty four hours after the operator(s) trained in Gutakal College.
9. The operator(s) trained in Barala College operate from Hyderabad.
10. The number of operator(s) trained in Khatamanga College is the same as the number of operator(s) trained in Barala College.
A BPO has assigned duty to nine operators - Abdulla, Ballal, Chandan, Dogra, Eshita, Falguni, Ganguli, Henri and Indra - on Monday, January 05, 2009 from 00:00 hours. Each operator commences duty at any of the following hours: 00:00 hrs, 04:00 hrs, 08:00 hrs, 12:00 hrs, 16:00 hrs and 20:00 hrs. At any point in time, at least one operator is required to take clients' calls. Each operator works continuously for eight hours. All operators located at any single location start work simultaneously. The operators took training in five different colleges: Abhinam College, Sutanama College, Gutakal College, Barala College and Khatamanga College. These colleges are located in the cities Jamshedpur, Pune, Noida, Hyderabad and Mangalore, not necessarily in that order. The operators operate from the cities where their respective colleges are located.
The conditions:
1. Indra operates alone from a city other than Mangalore and Jamshedpur.
2. Operator(s) trained in Abhinam College will start working at 12:00 hrs.
3. Only Dogra and Falguni operate from Pune, but they are not trained in Gutakal College.
4. Three of the operators took training from Sutanama College, and they operate from Noida.
5. The operator(s) from Jamshedpur will start working at 00:00 hrs.
6. Abdulla and Henri operate together as a two-member team from a single location. They do not operate from Mangalore.
7. No operator(s) will join at 20:00 hrs.
8. Ballal, who alone operates from his location, was not trained in Barala College, and will commence his duty four hours after the operator(s) trained in Gutakal College.
9. The operator(s) trained in Barala College operate from Hyderabad.
10. The number of operator(s) trained in Khatamanga College is the same as the number of operator(s) trained in Barala College.
Question: 1
Which of the following statements must be true?
Which of the following statements must be true?
Show Hint
When each city is locked to a unique college, always check single-operator cases first. Indra is alone in his city, which made his mapping unique.
Updated On: Aug 25, 2025
- Dogra and Henri took training from Khatanama College
- Indra took training from Barala College
- Dogra and Falguni took training from Barala College
- Indra took training from Abhinam College
- Ballal took training from Abhinam College
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The Correct Option is B
Solution and Explanation
Step 1: Recall the training-college-city links.
- Operators trained in Barala College operate from Hyderabad.
- Indra operates alone from a city other than Mangalore and Jamshedpur.
- Hence, Indra’s only valid city is Hyderabad.
Step 2: Link city to college.
If Indra operates from Hyderabad, he must have trained in Barala College, since Barala is mapped to Hyderabad.
Step 3: Verify other options.
- (A) Dogra and Henri → Wrong, Henri is not linked to Khatanama.
- (C) Dogra and Falguni → They are from Pune, not Hyderabad.
- (D) Indra from Abhinam → Abhinam starts at 12:00 hrs, but Indra works alone in another city. Not consistent.
- (E) Ballal from Abhinam → Wrong, Ballal is not in Abhinam.
Step 4: Conclusion.
Thus, Indra must have taken training from Barala College. \[ \boxed{\text{Correct Answer: (B)}} \]
- Operators trained in Barala College operate from Hyderabad.
- Indra operates alone from a city other than Mangalore and Jamshedpur.
- Hence, Indra’s only valid city is Hyderabad.
Step 2: Link city to college.
If Indra operates from Hyderabad, he must have trained in Barala College, since Barala is mapped to Hyderabad.
Step 3: Verify other options.
- (A) Dogra and Henri → Wrong, Henri is not linked to Khatanama.
- (C) Dogra and Falguni → They are from Pune, not Hyderabad.
- (D) Indra from Abhinam → Abhinam starts at 12:00 hrs, but Indra works alone in another city. Not consistent.
- (E) Ballal from Abhinam → Wrong, Ballal is not in Abhinam.
Step 4: Conclusion.
Thus, Indra must have taken training from Barala College. \[ \boxed{\text{Correct Answer: (B)}} \]
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Question: 2
Which of the following can be true for the operators operating from 20:00 hrs (of January 05, 2009) to 00:00 hrs (of January 06, 2009)?
Which of the following can be true for the operators operating from 20:00 hrs (of January 05, 2009) to 00:00 hrs (of January 06, 2009)?
Show Hint
In shift puzzles, always track starting times. Since no one starts at 20:00 hrs, the 20:00–00:00 slot must belong to those who began at 16:00 hrs.
Updated On: Aug 25, 2025
- Operators took training from Khatanama College and operate from Mangalore.
- Operators took training from Barala College and operate from Pune.
- Operators took training from Sutanama College and operate from Noida.
- Operators took training from Gutakal College and operate from Mangalore.
- Operators took training from Abhinam College and operate from Pune.
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The Correct Option is C
Solution and Explanation
Step 1: Recall the condition on working hours.
- Each operator works continuously for 8 hours.
- No operator starts at 20:00 hrs.
- So, those working between 20:00–00:00 hrs must have started at 16:00 hrs.
Step 2: Identify the group starting at 16:00 hrs.
- Operators from Sutanama College start at 16:00 hrs.
- Three operators are trained from Sutanama, and they operate from Noida.
Step 3: Verify each option.
- (A) Khatanama–Mangalore → Not valid, their timing doesn’t align.
- (B) Barala–Pune → Wrong, Barala is mapped to Hyderabad.
- (C) Sutanama–Noida → Matches perfectly. Valid.
- (D) Gutakal–Mangalore → Wrong, Gutakal is linked to Jamshedpur operators.
- (E) Abhinam–Pune → Wrong, Pune has Dogra and Falguni, not Abhinam.
Step 4: Conclusion.
The only consistent possibility is option (C). \[ \boxed{\text{Correct Answer: (C)}} \]
- Each operator works continuously for 8 hours.
- No operator starts at 20:00 hrs.
- So, those working between 20:00–00:00 hrs must have started at 16:00 hrs.
Step 2: Identify the group starting at 16:00 hrs.
- Operators from Sutanama College start at 16:00 hrs.
- Three operators are trained from Sutanama, and they operate from Noida.
Step 3: Verify each option.
- (A) Khatanama–Mangalore → Not valid, their timing doesn’t align.
- (B) Barala–Pune → Wrong, Barala is mapped to Hyderabad.
- (C) Sutanama–Noida → Matches perfectly. Valid.
- (D) Gutakal–Mangalore → Wrong, Gutakal is linked to Jamshedpur operators.
- (E) Abhinam–Pune → Wrong, Pune has Dogra and Falguni, not Abhinam.
Step 4: Conclusion.
The only consistent possibility is option (C). \[ \boxed{\text{Correct Answer: (C)}} \]
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Question: 3
Which of the following statements must be true for the operator(s) trained in Gutakal College?
Which of the following statements must be true for the operator(s) trained in Gutakal College?
Show Hint
Team-based operators (like Abdulla and Henri) are usually easy to match with “paired” colleges. Their joint starting time gave a direct clue to Gutakal.
Updated On: Aug 25, 2025
- They are Abdulla and Henri, and work from Jamshedpur.
- They are Dogra and Falguni, and work from Pune.
- She is Eshita, and works from Mangalore.
- She is Indra, and works from Pune.
- They are Chandan and Ganguli, and work from Jamshedpur.
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The Correct Option is A
Solution and Explanation
Step 1: Recall given facts.
- Abdulla and Henri operate together as a two-member team from one location.
- They do not operate from Mangalore.
- Operators trained in Gutakal College operate from Jamshedpur and start duty at 00:00 hrs.
Step 2: Assign Abdulla and Henri.
Since the Jamshedpur operators start at 00:00 hrs and work together as a team, Abdulla and Henri must be the ones trained in Gutakal College.
Step 3: Eliminate wrong options.
- (B) Dogra & Falguni → Wrong, they are from Pune.
- (C) Eshita → Wrong, she is not alone in Gutakal.
- (D) Indra → Wrong, Indra is linked to Barala College.
- (E) Chandan & Ganguli → Wrong, they operate differently.
Step 4: Conclusion.
Thus, Gutakal trainees must be Abdulla and Henri from Jamshedpur. \[ \boxed{\text{Correct Answer: (A)}} \]
- Abdulla and Henri operate together as a two-member team from one location.
- They do not operate from Mangalore.
- Operators trained in Gutakal College operate from Jamshedpur and start duty at 00:00 hrs.
Step 2: Assign Abdulla and Henri.
Since the Jamshedpur operators start at 00:00 hrs and work together as a team, Abdulla and Henri must be the ones trained in Gutakal College.
Step 3: Eliminate wrong options.
- (B) Dogra & Falguni → Wrong, they are from Pune.
- (C) Eshita → Wrong, she is not alone in Gutakal.
- (D) Indra → Wrong, Indra is linked to Barala College.
- (E) Chandan & Ganguli → Wrong, they operate differently.
Step 4: Conclusion.
Thus, Gutakal trainees must be Abdulla and Henri from Jamshedpur. \[ \boxed{\text{Correct Answer: (A)}} \]
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Question: 4
Which of the following is not definitely true?
Which of the following is not definitely true?
Show Hint
For “not definitely true,” look for scenarios where the number could exceed the stated maximum. Even a single possible exception disproves it.
Updated On: Aug 25, 2025
- At least three operators will be working between 04:00 hrs to 08:00 hrs.
- At most five operators will be working between 04:00 hrs to 08:00 hrs.
- At most five operators will be working between 12:00 hrs to 16:00 hrs.
- At most six operators will be working between 16:00 hrs to 20:00 hrs.
- At least three operators will be working between 16:00 hrs to 20:00 hrs.
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The Correct Option is B
Solution and Explanation
Step 1: Recall working rules.
- Each operator works for 8 hours continuously.
- Chandan, Eshita, and Ganguli start at 04:00 hrs.
Step 2: Calculate between 04:00–08:00 hrs.
If Chandan, Eshita, and Ganguli are working from 04:00 hrs onward, then between 04:00–08:00 hrs, we already have 3 operators.
Additionally, Abdulla and Henri (from 00:00–08:00 hrs) are still on duty, making 5.
Depending on Ballal’s shift (linked to Gutakal +4 hrs), there could be 6 operators.
Step 3: Check validity.
Thus, more than 5 is possible. Therefore, statement (B) “At most five operators” is not definitely true. Step 4: Conclusion.
So, the answer is (B). \[ \boxed{\text{Correct Answer: (B)}} \]
- Each operator works for 8 hours continuously.
- Chandan, Eshita, and Ganguli start at 04:00 hrs.
Step 2: Calculate between 04:00–08:00 hrs.
If Chandan, Eshita, and Ganguli are working from 04:00 hrs onward, then between 04:00–08:00 hrs, we already have 3 operators.
Additionally, Abdulla and Henri (from 00:00–08:00 hrs) are still on duty, making 5.
Depending on Ballal’s shift (linked to Gutakal +4 hrs), there could be 6 operators.
Step 3: Check validity.
Thus, more than 5 is possible. Therefore, statement (B) “At most five operators” is not definitely true. Step 4: Conclusion.
So, the answer is (B). \[ \boxed{\text{Correct Answer: (B)}} \]
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Question: 5
If five operators are working between 16:00 hrs and 20:00 hrs, which of the following must be true?
If five operators are working between 16:00 hrs and 20:00 hrs, which of the following must be true?
Show Hint
Always track the “no one joins at 20:00 hrs” condition. It guarantees that whoever starts at 16:00 hrs will be the only ones active after 20:00 hrs.
Updated On: Aug 25, 2025
- The only operator working between 08:00 hrs and 12:00 hrs is Ballal.
- The operators working between 12:00 hrs and 16:00 hrs are Ballal, Dogra and Falguni.
- The operators working between 12:00 hrs and 16:00 hrs are Dogra, Henri and Falguni.
- The operators working between 16:00 hrs and 00:00 hrs are Indra, Dogra, Falguni, Chandan and Ganguli.
- The operators working between 20:00 hrs and 00:00 hrs are Chandan, Ganguli and Eshita.
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The Correct Option is
Solution and Explanation
Step 1: Fix the 16:00 hrs start group.
Operators starting at 16:00 hrs will work until 00:00 hrs. These must be Chandan, Ganguli, and Eshita. Step 2: Count the operators between 16:00–20:00 hrs.
For this period, there are exactly five operators working. This can only happen if exactly those three (Chandan, Ganguli, Eshita) join along with two others already active (Indra + another).
Step 3: Extend to 20:00–00:00 hrs.
At 20:00 hrs, no new operator joins. Thus, only the three who started at 16:00 hrs remain. Therefore, between 20:00–00:00 hrs, only Chandan, Ganguli, and Eshita are working.
Step 4: Verify options.
- (A) Not necessarily true, because others may work between 08:00–12:00 hrs.
- (B) Possible but not a must.
- (C) Wrong, Henri does not align in this slot.
- (D) Too many operators counted.
- (E) Correct, because after 20:00 hrs only Chandan, Ganguli, and Eshita continue.
Step 5: Conclusion.
Thus, the statement that must be true is (E). \[ \boxed{\text{Correct Answer: (E)}} \]
Operators starting at 16:00 hrs will work until 00:00 hrs. These must be Chandan, Ganguli, and Eshita. Step 2: Count the operators between 16:00–20:00 hrs.
For this period, there are exactly five operators working. This can only happen if exactly those three (Chandan, Ganguli, Eshita) join along with two others already active (Indra + another).
Step 3: Extend to 20:00–00:00 hrs.
At 20:00 hrs, no new operator joins. Thus, only the three who started at 16:00 hrs remain. Therefore, between 20:00–00:00 hrs, only Chandan, Ganguli, and Eshita are working.
Step 4: Verify options.
- (A) Not necessarily true, because others may work between 08:00–12:00 hrs.
- (B) Possible but not a must.
- (C) Wrong, Henri does not align in this slot.
- (D) Too many operators counted.
- (E) Correct, because after 20:00 hrs only Chandan, Ganguli, and Eshita continue.
Step 5: Conclusion.
Thus, the statement that must be true is (E). \[ \boxed{\text{Correct Answer: (E)}} \]
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