Question

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?

• A. Anjali
• B. Bharat
• C. Chitra
• D. Both Anjali and Chitra
• A. 11{:}45 PM
• B. 12{:}05 AM
• C. 12{:}45 AM
• D. 10{:}50 PM
• A. The medallion was present at 10{:}30 PM
• B. The security logs indicating the code was used
• C. The museum closing time of 10{:}00 PM
• D. The time frame of his alibi (8{:}00 PM to 1{:}30 AM)
• A. Bharat, because he had the technical expertise to get close to the case
• B. Chitra, because she was near the museum late that night
• C. Anjali, because she is known to wear a coat with similar buttons
• D. Mr.Hemant, as he was the last person to check the area
• A. Correlation does not imply causation
• B. If an event requires presence, confirmed absence proves innocence
• C. The rule of double jeopardy
• D. The burden of proof lies with the accuser
• A. Bharat must have had an accomplice who knew the code
• B. Chitra's alibi is false because she had enough time to commit the crime after leaving the studio
• C. Anjali is the most likely suspect because the code was used and she has a direct link to the physical evidence (the button)
• D. Mr.Hemant is secretly the thief and is trying to frame the former employees
• A. She must know the five digit code
• B. She must have left the graphic design studio before 11{:}45 PM
• C. The theft must have occurred after she left the studio and before 1{:}00 AM
• D. She must have worked with Anjali to disable the locks

Answer 1

The Correct Option is A

The security logs show that the display case was opened using a specific five-digit code, and only two people knew this code: Anjali and the museum director (who was out of the country). Among the three suspects (Anjali, Bharat, and Chitra), therefore, only Anjali had direct knowledge of the code. Hence, based solely on the code usage, Anjali is the only plausible suspect.

Answer 2

Alternate Method (Elimination):
Consider each suspect against the one fact that the case was opened with the five-digit code.
Bharat: he claimed he could bypass the lock without the code, but the log confirms the code was actually used, so this claim does not give him a way in, ruled out.
Chitra: nothing links her to knowledge of the code at all, ruled out.
Anjali: she is one of only two people, the other being the director who was abroad, who knew the code, so she remains.
Eliminating Bharat and Chitra on this single fact leaves \(\boxed{\text{Anjali}}\) as the only plausible suspect, option (a).

Answer 3

The question narrows things to one fact only, that a five-digit code was used to open the case, and asks who that fact alone points to among the three suspects.

1. Anjali: The passage states the code was known only to Anjali and the museum director, and the director was out of the country. So Anjali is the one suspect who had the knowledge needed to use the code.
2. Bharat: Bharat's boast was about disabling the lock without needing the code, a workaround that is not what happened here, since the log confirms the code itself was entered. Nothing gives him knowledge of the actual code.
3. Chitra: Nothing in the passage connects Chitra to the code at all, she is never mentioned in relation to who knew it.
4. Both Anjali and Chitra: This option only holds up if Chitra also had code access, but she doesn't, so pairing her with Anjali on this specific fact is not supported.

Looking at the code fact in isolation, only Anjali had the means to use it.

So the correct answer is Anjali.

Answer 4

Chitra is seen on camera leaving the downtown studio at 11{:}45 PM. The studio is a 20-minute drive from the museum. So, the earliest she could arrive at the museum is: \[ 11{:}45\ \text{PM} + 20\ \text{minutes} = 12{:}05\ \text{AM}. \]

Answer 5

Alternate Method:
Convert the times to minutes after midnight.
Chitra exits the studio at \(11{:}45\) PM \(= 23{:}45 = 23 \times 60 + 45 = 1425\) minutes.
Travel time is \(20\) minutes, so she can arrive at \(1425 + 20 = 1445\) minutes \(= 24{:}05\).
Since \(24{:}05\) is \(0{:}05\) of the next day, this is \(\boxed{12{:}05 \text{ AM}}\), option (b).

Answer 6

Chitra's earliest possible arrival depends only on when she left the studio, 11{:}45 PM, and the drive time, 20 minutes. Check each option against that fact directly.

1. 11{:}45 PM: This is the time she left the studio, not the time she could reach the museum. Since the drive itself takes 20 minutes, she cannot already be at the museum the instant she leaves the studio.
2. 12{:}05 AM: Adding the 20-minute drive to 11{:}45 PM lands exactly here. This is the earliest possible arrival, assuming she left the studio the instant the footage shows and drove straight there with no delay.
3. 12{:}45 AM: This is 40 minutes after she is seen leaving, twice the actual drive time. Nothing in the passage suggests she took twice as long, so this is later than necessary, not the earliest time.
4. 10{:}50 PM: This time is before she even left the studio at 11{:}45 PM, so it's impossible for her to be at the museum at 10{:}50 PM.

Only 12{:}05 AM is exactly consistent with leaving at 11{:}45 PM and taking the stated 20-minute drive.

So the correct answer is 12{:}05 AM.

Answer 7

The theft could only have occurred between 10{:}30 PM (when Hemant last saw the medallion) and 1{:}00 AM. Bharat’s alibi places him at a birthday party continuously from 8{:}00 PM to 1{:}30 AM, confirmed by multiple independent witnesses. If Bharat were the thief, this continuous alibi must be false; that is the fact that must be incorrect.

Answer 8

Alternate Method (Elimination):
If Bharat is the thief, he must have been physically at the museum sometime in the theft window. Check which established fact this would contradict.
Medallion present at \(10{:}30\) PM: this is about the object's location, not Bharat's whereabouts, so it stays unaffected.
Code used in the logs: this is a system record independent of who is guilty, so it stays unaffected.
Museum closing time of \(10{:}00\) PM: a fixed operational fact, unaffected either way.
Bharat's alibi (\(8{:}00\) PM to \(1{:}30\) AM): this directly places him elsewhere for the entire theft window, so it is the only fact that must be false if he is guilty.
Hence the incorrect fact is \(\boxed{\text{his alibi's time frame}}\), option (d).

Answer 9

Assume, for the sake of argument, that Bharat is indeed the thief, and check which of the four stated facts that assumption would clash with.

1. The medallion was present at 10{:}30 PM: This fact is about where the medallion was, not about Bharat's location, so Bharat being the thief doesn't clash with it, the medallion could still have been there at 10{:}30 PM and stolen later.
2. The security logs indicating the code was used: This is a record generated by the system itself, unrelated to which person is guilty. It can be true regardless of whether Bharat or anyone else is the thief.
3. The museum closing time of 10{:}00 PM: This is a fixed, routine fact about museum operations that has nothing to do with who committed the theft, so it stays consistent either way.
4. The time frame of his alibi (8{:}00 PM to 1{:}30 AM): This fact directly says Bharat was somewhere else for the entire theft window. If Bharat is actually the thief, this specific fact is the one that cannot also be true, since he could not be both at the party and at the museum.

Assuming Bharat's guilt breaks only one of the four facts, the account of his own whereabouts.

So the correct answer is the time frame of his alibi.

Answer 10

Investigators found a distinctive silver button near the display case, and Anjali is known to wear a coat with similar unique silver buttons. This creates a direct physical association between Anjali and the scene of the crime, making the button most incriminating against her.

Answer 11

Alternate Method (Elimination):
Bharat: his technical expertise explains an ability, not a physical trace at the scene, so it is a weak link.
Chitra: being near the museum late is only circumstantial and unconnected to the button, so it is a weak link.
Mr. Hemant: checking the area is his routine job, not evidence connecting him to a crime, so it is a weak link.
Anjali: the button is a distinctive item found at the scene, and she is specifically known to wear a coat with matching buttons, a direct physical link.
Only Anjali's case ties a piece of physical evidence to the person, so the button is most incriminating against \(\boxed{\text{Anjali}}\), option (c).

Answer 12

A piece of physical evidence like a button is most damaging when it creates a direct, specific link between a person and the crime scene, rather than a general possibility. Check each option for how direct that link actually is.

1. Bharat, because he had the technical expertise to get close to the case: Technical skill is an ability, not a physical trace found at the scene. It doesn't connect Bharat's actual body or belongings to that spot on that night.
2. Chitra, because she was near the museum late that night: Being near the museum is vague and circumstantial, and the passage doesn't even place her clearly near the museum, only near her studio, a 20-minute drive away. There's no physical item tying her to the display case.
3. Anjali, because she is known to wear a coat with similar buttons: The button found at the scene is a specific, distinctive object, and Anjali is specifically known to wear a coat with matching buttons. That is a direct physical link between a personal item of hers and the exact spot where the theft happened.
4. Mr. Hemant, as he was the last person to check the area: Checking the area was his routine job as the night guard, expected of him regardless of guilt, and it says nothing about a physical trace connecting him to the crime.

Only the button-to-Anjali connection ties a specific physical object to a specific person at the scene.

So the correct answer is Anjali, because she is known to wear a coat with similar buttons.

Answer 13

To steal the medallion, the thief had to be physically present at the museum between 10{:}30 PM and 1{:}00 AM. Bharat’s verified alibi places him elsewhere during this entire interval. Therefore, because presence is required for the crime, proven absence rules him out.

Answer 14

Alternate Method (Naming the Principle):
Presence at the museum during the theft window is a necessary condition for being the thief: guilty implies present.
By the contrapositive, a form of modus tollens: not present implies not guilty.
Bharat's alibi establishes "not present," so the contrapositive gives "not guilty."
The other options don't fit: correlation-causation is about wrongly inferring cause from association, double jeopardy is a legal retrial rule, and burden of proof is about who must argue a case, not about deducing innocence from a verified alibi.
So the supporting principle is \(\boxed{\text{confirmed absence proves innocence when presence is required}}\), option (b).

Answer 15

The detective's argument is: committing the theft required being at the museum during the window, Bharat is confirmed absent during that whole window, so he can't be the thief. Check which named principle actually matches that structure.

1. Correlation does not imply causation: This principle warns against assuming that because two things happen together, one causes the other. Nothing in the detective's argument involves two co-occurring events being wrongly linked as cause and effect, so this doesn't fit.
2. If an event requires presence, confirmed absence proves innocence: This says exactly what the detective is doing, presence at the museum was necessary to commit the theft, and Bharat's presence there is confirmed to be false for the whole window, so he must be innocent. This matches the argument's structure exactly.
3. The rule of double jeopardy: This is a legal principle about not being tried twice for the same offence. The argument here isn't about a retrial or prior conviction, so this doesn't apply.
4. The burden of proof lies with the accuser: This is about who has to argue their case in a dispute, not about deducing someone's innocence from where they physically were. The detective isn't making a claim about who must prove what, so this doesn't fit either.

Only the presence-requires-absence-proves-innocence principle actually describes the reasoning the detective used.

So the correct answer is If an event requires presence, confirmed absence proves innocence.

Answer 16

Key points: \begin{itemize} \item The display case was opened using the five-digit code known only to Anjali and the director (who was abroad). \item A distinctive silver button matching Anjali's coat style was found near the case. \item Bharat has a strong, confirmed alibi; Chitra lacks both the code and specific physical evidence linking her to the scene. \end{itemize} Together, these facts make Anjali the most reasonable primary suspect.

Answer 17

Alternate Method (Elimination):
Option (a): assumes an accomplice with no supporting evidence, pure speculation.
Option (b): contradicted directly by the time-stamped camera footage confirming when she left the studio.
Option (d): nothing in the facts suggests Mr. Hemant is involved, baseless.
Option (c): combines two solid, established facts, that only Anjali had the code besides the absent director, and that the button matches her coat, into one suspect.
Since (a), (b), and (d) all require assumptions unsupported by the given facts, the reasonable inference is \(\boxed{\text{option (c)}}\): Anjali is the most likely suspect.

Answer 18

An inference counts as reasonable only if it follows from facts actually given in the passage, not from a guess added on top. Check each option against that standard.

1. Bharat must have had an accomplice who knew the code: Nothing in the passage mentions or hints at an accomplice, this option invents a person and a relationship that isn't supported by anything stated.
2. Chitra's alibi is false because she had enough time to commit the crime after leaving the studio: Having time available doesn't make an alibi false, it only means an opportunity existed. The time-stamped camera footage of her leaving at 11{:}45 PM is actual evidence, and nothing contradicts it, so calling her alibi false goes against the given facts rather than following from them.
3. Anjali is the most likely suspect because the code was used and she has a direct link to the physical evidence: Both parts of this are facts directly stated in the passage, that the code was used and known only to Anjali besides the absent director, and that the button matches her coat. Combining two established facts into one conclusion is exactly what a reasonable inference should do.
4. Mr. Hemant is secretly the thief and is trying to frame the former employees: Nothing in the passage suggests Hemant did anything unusual or has any motive, this option is pure speculation with no supporting fact.

Only the option about Anjali is built entirely from facts already established in the passage.

So the correct answer is Anjali is the most likely suspect because the code was used and she has a direct link to the physical evidence.

Answer 19

Chitra is seen leaving the studio at 11{:}45 PM, and it takes 20 minutes to reach the museum. So she could only participate in the theft if it occurred after she could reasonably arrive there, that is, sometime between about 12{:}05 AM and 1{:}00 AM. Therefore, a necessary condition for her guilt is that the theft happened after she left the studio and before the 1{:}00 AM cutoff.

Answer 20

Alternate Method:
For Chitra to be the thief, she must have had the opportunity, meaning she must have been physically at the museum during part of the theft window \([10{:}30 \text{ PM}, 1{:}00 \text{ AM}]\).
She cannot arrive before leaving the studio at \(11{:}45\) PM plus the \(20\)-minute drive, that is not before \(12{:}05\) AM.
So the theft can only involve her if it happens in the overlap of "after she could arrive" and "before the window closes," which is the stretch from just after she leaves the studio up to \(1{:}00\) AM.
This gives the necessary condition: \(\boxed{\text{the theft occurred after she left the studio and before } 1{:}00 \text{ AM}}\), option (c).

Answer 21

A necessary condition is something that must be true for Chitra to be guilty, without which her guilt is impossible. Check each option against what's actually required.

1. She must know the five digit code: The passage never says the code is required for every possible thief, and nothing suggests Chitra needed or had the code specifically. This isn't shown to be a requirement for her guilt.
2. She must have left the graphic design studio before 11{:}45 PM: The footage already timestamps her exit at 11{:}45 PM, this is a fixed, confirmed fact, not a condition that still needs to hold for her guilt.
3. The theft must have occurred after she left the studio and before 1{:}00 AM: For Chitra to have committed the theft, she needed to physically be at the museum, which is only possible after she left the studio, accounting for the drive, and before the guard's final round at 1{:}00 AM closes the window. Without the theft falling in that overlap, she simply could not have done it.
4. She must have worked with Anjali to disable the locks: This invents a partnership that the passage never mentions or supports in any way.

Only the timing condition is something that genuinely has to be true for Chitra's guilt to even be possible.

So the correct answer is the theft must have occurred after she left the studio and before 1{:}00 AM.