On the night of October 12th, the "Sunburst Medallion" was stolen from the highly secured display case in the city museum. The theft occurred sometime between the museum closing at 10:00 PM and the night guard, Mr. Hemant, completing his final round at 1:00 AM.Three primary suspects were identified, all of whom had recently been dismissed from their museum positions: Anjali, the former curator; Bharat, the former security expert; and Chitra, the former exhibits designer. Here are the established facts and their alibis: * The security system logs show that the display case was opened using a specific five-digit code, which only Anjali and the museum director (who was out of the country) knew. * Bharat's alibi is that he was at a distant relative's birthday party from 8:00 PM to 1:30 AM. Multiple independent witnesses confirmed his presence throughout the entire period. * Chitra's alibi is that she was working late at a downtown graphic design studio. A time-stamped security camera from the studio's entrance shows her entering at 7:00 PM and exiting at 11:45 PM. The studio is a 20-minute drive from the museum. * Mr. Hemant, the night guard, stated he checked the medallion at 10:30 PM, and it was still there. Further investigation revealed that a small, distinctive silver button was found near the display case. Anjali is known to frequently wear a coat with similar unique silver buttons. The security expert, Bharat, had previously boasted that he could remotely disable a certain type of magnetic lock-the same type used on the medallion's case-without needing the code, though the log suggests the code was used. (269 words)
Evaluating Alibis and Time Constraints The theft occurred between 10:00 PM and 1:00 AM, but the night guard saw the medallion at 10:30 PM. Given Chitra's alibi, what is the earliest time she could have reached the museum?
Analyzing Chitra's Alibi for Museum Theft Case
The question asks us to determine the earliest possible time Chitra could have arrived at the museum. To do this, we need to carefully examine the information provided about her alibi and the travel time involved.
Chitra's Alibi Breakdown
- Location during alibi: Downtown graphic design studio.
- Entry time at studio: 7:00 PM.
- Exit time from studio: 11:45 PM.
- Travel time from studio to museum: 20 minutes.
Calculating Earliest Arrival Time at Museum
To find the earliest time Chitra could have reached the museum, we start with the time she left her alibi location (the studio) and add the travel duration.
The calculation involves adding the travel time to her exit time from the studio:
Earliest Arrival Time = Exit Time from Studio + Travel Time to Museum
Using the provided details:
Earliest Arrival Time = $11:45 \text{ PM} + 20 \text{ minutes}$
Performing this addition, we find:
Earliest Arrival Time = $12:05 \text{ AM}$
Therefore, the earliest time Chitra could have reached the museum, based strictly on her stated alibi and the travel time, is 12:05 AM.
Similar Questions
- Which letter will be exactly in the middle?
- How many vowels will be to the left of the middle letter?
- Which of the two vowels will be adjoining each other?
- Which vowel will have a consonant to the left but a vowel to the right of it?
- Name the letter sandwiched between two vowels?
Which letter is prefixed to the word after the first half is reversed?
Identifying the Most Likely Suspect
Based only on the fact that the five-digit code was used to open the display case, who is the only plausible suspect among the three?
Identifying the Logical Flaw in the Argument :
A detective argues: "Since Bharat has a confirmed, continuous alibi covering the entire time window of the theft (10:30 PM to 1:00 AM), he cannot be the thief." What principle of logic supports this detective's conclusion?
Drawing a Strongest Conclusion
Considering all the facts (the code being used, the silver button, and the confirmed alibis), which is the most reasonable inference?
- What condition is necessary for Chitra to have stolen the medallion?
Important Questions from Verbal Reasoning
- Which letter will be exactly in the middle?
- How many vowels will be to the left of the middle letter?
- Which of the two vowels will be adjoining each other?
- Which vowel will have a consonant to the left but a vowel to the right of it?
- Name the letter sandwiched between two vowels?
