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A high security research lap requires the researchers to set a pass key sequence Pased on the scan of the five fingers of their left hands. When an employee first joins the lap, her fingers are scanned in an order of her choice, and then when she wants to re-enter the facility, she has to scan the five fingers in the same sequence
The lap authorities are considering some relaxations of the scan order requirements, since it is observed that some employees often get locked-out because they forget the sequence.
Q.
The lab has decided to allow variations of the original sequence so that input of the scanned sequence of five fingers is allowed to vary from the original sequence by one place for any of the fingers. Thus, for example, if TIMRL is the original sequence, then ITRML is also allowed, but LIMRT is not.
How many different sequences are allowed for any given person's original scan?
  • a)
    7
  • b)
    5
  • c)
    8
  • d)
    13
Correct answer is option 'C'. Can you explain this answer?
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A high security research lap requires the researchers to set a pass ke...
It is clear that the paragraph is about “Collaborative filtering.” Sentence 4 defines collaborative filtering and is our introductory sentence.
Sentence 1 follows by giving an example of collaborative filtering that occurs on websites.
Sentence 2 highlights a flaw in the process of collaborative filtering and sentence 3 gives an example of this type of flaw. Sentence 2 mentions how collaborative filtering algorithms do not take into account the nuances that might interfere with their accuracy while sentence 3 follows this with a suitable example, which is, If you just bought a gardening book for your cousin, you might get a flurry of links to books about gardening, recommended just for you! – the algorithm has no way of knowing you hate gardening and only bought the book as a gift.
Hence, the correct sequence is 4123.
 
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A high security research lap requires the researchers to set a pass ke...
Solution:

To calculate the number of different sequences allowed for any given person's original scan, we need to consider the variations that can be made by changing the position of one finger in the original sequence.

Step 1: Determine the total number of possible positions for each finger in the original sequence.

Since there are 5 fingers, each finger can occupy one of the 5 positions in the sequence. Therefore, there are 5 possible positions for each finger.

Step 2: Calculate the total number of different sequences by multiplying the number of possible positions for each finger.

Since there are 5 fingers and each finger has 5 possible positions, the total number of different sequences is 5 * 5 * 5 * 5 * 5 = 5^5 = 3125.

Step 3: Consider the variations allowed by changing the position of one finger.

In the given scenario, we are allowed to vary the original sequence by one place for any of the fingers. This means that for each finger, we can change its position to one of the adjacent positions in the sequence.

Let's consider the example of the original sequence TIMRL. We can change the position of each finger as follows:

1. T can be moved to the left or right, resulting in ITMRL or TMIRL.
2. I can be moved to the left or right, resulting in TIMRL or TIRML.
3. M can be moved to the left or right, resulting in TIMLR or TIMRL.
4. R can be moved to the left or right, resulting in TIMLR or TIMRL.
5. L can be moved to the left or right, resulting in TIMRL or TIMLR.

Therefore, for each finger, there are 2 possible variations (moving to the left or right), resulting in a total of 2 * 2 * 2 * 2 * 2 = 2^5 = 32 variations.

Step 4: Subtract the number of variations from the total number of different sequences to find the number of allowed sequences.

The number of allowed sequences is given by 3125 - 32 = 3093.

However, we need to consider that the original sequence itself is also allowed. Therefore, the number of different sequences allowed for any given person's original scan is 3093 + 1 = 3094.

Therefore, the correct answer is option C) 8.
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A high security research lap requires the researchers to set a pass key sequence Pased on the scan of the five fingers of their left hands. When an employee first joins the lap, her fingers are scanned in an order of her choice, and then when she wants to re-enter the facility, she has to scan the five fingers in the same sequenceThe lap authorities are considering some relaxations of the scan order requirements, since it is observed that some employees often get locked-out because they forget the sequence.Q.The lab has now decided to require six scans in the pass key sequence, where exactly one finger is scanned twice, and the other fingers are scanned exactly once, which can be done in any order. For example, a possible sequence is TIMTRL.Suppose the lab allows a variation of the original sequence (of six inputs) so that input in the form of scanned sequence of six fingers is allowed to vary from the original sequence by one place for any of the fingers, as long as the finger originally scanned twice is scanned twice and other fingers are scanned once.How many different sequences of scans are allowed if the original scan sequence is LRLTIM?

A high security research lap requires the researchers to set a pass key sequence Pased on the scan of the five fingers of their left hands. When an employee first joins the lap, her fingers are scanned in an order of her choice, and then when she wants to re-enter the facility, she has to scan the five fingers in the same sequenceThe lap authorities are considering some relaxations of the scan order requirements, since it is observed that some employees often get locked-out because they forget the sequence.Q.The lab has decided to allow a variation in the sequence of scans of the five fingers so that at most two scans (out of fiv e) are out of place. For example, if the original sequence is Thumb (T), index finger (I), middle finger (M), ring finger (R) and little finger (L) then TLMRI is also allowed, but TMRLI is not.How many different sequences of scans are allowed for any given persons original scan? Correct answer is '11'. Can you explain this answer?

A high security research lap requires the researchers to set a pass key sequence Pased on the scan of the five fingers of their left hands. When an employee first joins the lap, her fingers are scanned in an order of her choice, and then when she wants to re-enter the facility, she has to scan the five fingers in the same sequenceThe lap authorities are considering some relaxations of the scan order requirements, since it is observed that some employees often get locked-out because they forget the sequence.Q.The lab has now decided to require six scans in the pass key sequence, where exactly one finger is scanned twice, and the other fingers are scanned exactly once, which can be done in any order. For example, a possible sequence is TIMTRL.Suppose the lab allows a variation of the original sequence (of six inputs) where at most two scans (out of six) are out of place, as long as the finger originally scanned twice is scanned twice and other fingers are scanned once.How many different sequences of scans are allowed for any given persons original scan? Correct answer is '15'. Can you explain this answer?

Analyse the following caselet and answer the questions that follow:Indian Institute of Research is a Government-established body to promote research. In addition to helping in policy making, it also provides free online access to all the articles to the public. It has a mission of publishing high quality research articles. Till 2010, the publication of articles was very slow because there was no incentive for researchers to publish. Researchers stuck to the mandatory one article a year. Most of the researchers engaged in offering consultancy and earned extra income. Since its inception, the institute was considered the best place for cutting edge research. The new director of the institute was not happy with the work done by researchers in silo and came out with a new research policy in 2013 to increase research output and improve collaboration among researchers. It was decided that extra benefits would be offered to researchers with new publications. As a result, the number of research articles increased fourfold in 2014. At the 2015 annual audit, an objection was raised against the new benefits scheme. Auditors were not happy with increased expenses towards remuneration for researchers. Further, the Government opined that the publication was itself a reward and hence researchers need be paid nothing extra. The director tried to defend his policy but the response from the government was not encouraging.The director still wanted to persuade the government to review its stand. He had framed the following arguments:1. Most famous researchers in the world are also the highest paid.2. American institute of research gives extra benefits to its scientists.3. This years highest paid researcher had won the Nobel Prize last year.Q. Considering the Government to be reasonable which of the following options is UNLIKELY to convince the Government?

Analyse the following caselet and answer the questions that follow:Indian Institute of Research is a Government-established body to promote research. In addition to helping in policy making, it also provides free online access to all the articles to the public. It has a mission of publishing high quality research articles. Till 2010, the publication of articles was very slow because there was no incentive for researchers to publish. Researchers stuck to the mandatory one article a year. Most of the researchers engaged in offering consultancy and earned extra income. Since its inception, the institute was considered the best place for cutting edge research. The new director of the institute was not happy with the work done by researchers in silo and came out with a new research policy in 2013 to increase research output and improve collaboration among researchers. It was decided that extra benefits would be offered to researchers with new publications. As a result, the number of research articles increased fourfold in 2014. At the 2015 annual audit, an objection was raised against the new benefits scheme. Auditors were not happy with increased expenses towards remuneration for researchers. Further, the Government opined that the publication was itself a reward and hence researchers need be paid nothing extra. The director tried to defend his policy but the response from the government was not encouraging.The following facts were observed by an analytics team hired by the government to study the extant situation.1. There was a four-fold increase in the number of researchers leaving the organization in 2014.2. A researcher died while on duty.3. The quality of articles published declined substantially.4. The average number of people accessing an article decreased by 2%.Q. Which of the following options would justify the governments intention to DISCONTINUE the scheme?

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A high security research lap requires the researchers to set a pass key sequence Pased on the scan of the five fingers of their left hands. When an employee first joins the lap, her fingers are scanned in an order of her choice, and then when she wants to re-enter the facility, she has to scan the five fingers in the same sequenceThe lap authorities are considering some relaxations of the scan order requirements, since it is observed that some employees often get locked-out because they forget the sequence.Q.The lab has decided to allow variations of the original sequence so that input of the scanned sequence of five fingers is allowed to vary from the original sequence by one place for any of the fingers. Thus, for example, if TIMRL is the original sequence, then ITRML is also allowed, but LIMRT is not.How many different sequences are allowed for any given persons original scan?a)7b)5c)8d)13Correct answer is option 'C'. Can you explain this answer?
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A high security research lap requires the researchers to set a pass key sequence Pased on the scan of the five fingers of their left hands. When an employee first joins the lap, her fingers are scanned in an order of her choice, and then when she wants to re-enter the facility, she has to scan the five fingers in the same sequenceThe lap authorities are considering some relaxations of the scan order requirements, since it is observed that some employees often get locked-out because they forget the sequence.Q.The lab has decided to allow variations of the original sequence so that input of the scanned sequence of five fingers is allowed to vary from the original sequence by one place for any of the fingers. Thus, for example, if TIMRL is the original sequence, then ITRML is also allowed, but LIMRT is not.How many different sequences are allowed for any given persons original scan?a)7b)5c)8d)13Correct answer is option 'C'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A high security research lap requires the researchers to set a pass key sequence Pased on the scan of the five fingers of their left hands. When an employee first joins the lap, her fingers are scanned in an order of her choice, and then when she wants to re-enter the facility, she has to scan the five fingers in the same sequenceThe lap authorities are considering some relaxations of the scan order requirements, since it is observed that some employees often get locked-out because they forget the sequence.Q.The lab has decided to allow variations of the original sequence so that input of the scanned sequence of five fingers is allowed to vary from the original sequence by one place for any of the fingers. Thus, for example, if TIMRL is the original sequence, then ITRML is also allowed, but LIMRT is not.How many different sequences are allowed for any given persons original scan?a)7b)5c)8d)13Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A high security research lap requires the researchers to set a pass key sequence Pased on the scan of the five fingers of their left hands. When an employee first joins the lap, her fingers are scanned in an order of her choice, and then when she wants to re-enter the facility, she has to scan the five fingers in the same sequenceThe lap authorities are considering some relaxations of the scan order requirements, since it is observed that some employees often get locked-out because they forget the sequence.Q.The lab has decided to allow variations of the original sequence so that input of the scanned sequence of five fingers is allowed to vary from the original sequence by one place for any of the fingers. Thus, for example, if TIMRL is the original sequence, then ITRML is also allowed, but LIMRT is not.How many different sequences are allowed for any given persons original scan?a)7b)5c)8d)13Correct answer is option 'C'. Can you explain this answer?.
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Thus, for example, if TIMRL is the original sequence, then ITRML is also allowed, but LIMRT is not.How many different sequences are allowed for any given persons original scan?a)7b)5c)8d)13Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A high security research lap requires the researchers to set a pass key sequence Pased on the scan of the five fingers of their left hands. When an employee first joins the lap, her fingers are scanned in an order of her choice, and then when she wants to re-enter the facility, she has to scan the five fingers in the same sequenceThe lap authorities are considering some relaxations of the scan order requirements, since it is observed that some employees often get locked-out because they forget the sequence.Q.The lab has decided to allow variations of the original sequence so that input of the scanned sequence of five fingers is allowed to vary from the original sequence by one place for any of the fingers. Thus, for example, if TIMRL is the original sequence, then ITRML is also allowed, but LIMRT is not.How many different sequences are allowed for any given persons original scan?a)7b)5c)8d)13Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A high security research lap requires the researchers to set a pass key sequence Pased on the scan of the five fingers of their left hands. When an employee first joins the lap, her fingers are scanned in an order of her choice, and then when she wants to re-enter the facility, she has to scan the five fingers in the same sequenceThe lap authorities are considering some relaxations of the scan order requirements, since it is observed that some employees often get locked-out because they forget the sequence.Q.The lab has decided to allow variations of the original sequence so that input of the scanned sequence of five fingers is allowed to vary from the original sequence by one place for any of the fingers. Thus, for example, if TIMRL is the original sequence, then ITRML is also allowed, but LIMRT is not.How many different sequences are allowed for any given persons original scan?a)7b)5c)8d)13Correct answer is option 'C'. 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Thus, for example, if TIMRL is the original sequence, then ITRML is also allowed, but LIMRT is not.How many different sequences are allowed for any given persons original scan?a)7b)5c)8d)13Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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