CAT 2017 Slot 2 DILR Set 7 Q25–Q28

A DILR caselet from the Data Interpretation & Logical Reasoning (DILR) section of CAT 2017 Slot 2, with 4 questions (Arrangements). Answers are CAT's official key.

The set

A high security research lab requires the researchers to set a pass key sequence based on the scan of the five fingers of their left hands. When an employee first joins the lab, 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 lab 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.

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 five) 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.

Question 25

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 five) 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 person's original scan? (TITA)

TITA: type in the answer. There are no options and no negative marking.

Answer: 11 Arrangements TITA

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 26

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 allowed, but LIMRT is not. How many different sequences are allowed for any given person's original scan?

  1. A
    7
  2. B
    5
  3. C
    8
  4. D
    13

Answer: (C) 8 Arrangements MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 27

The lab has now decided to require six scans in the pass sequence, where exactly one finger is scanned twice, and the other fingers are scanned 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 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 person's original scan? (TITA)

TITA: type in the answer. There are no options and no negative marking.

Answer: 15 Arrangements TITA

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 28

The lab has now decided to require six scans in the pass sequence, where exactly one finger is scanned twice, and the other fingers are scanned 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 sequence is LRLTIM?

  1. A
    8
  2. B
    11
  3. C
    13
  4. D
    14

Answer: (C) 13 Arrangements MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

More Arrangements questions from CAT

All 40 Arrangements questions asked since 2017.