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CAT 2025 Lesson : DILR: Jul '25 to Aug '25 - Live Solving - 10 Jul 2025
Read the following and answer the questions that follow
According to a coding scheme the sentence
Peacock is designated as the national bird of India
is coded as 5688999 35 1135556678 56 458 13666689 1334 79 13366
This coding scheme has the following rules:
1. The scheme is case-insensitive (does not distinguish between upper case and lower case letters).
2. Each letter has a unique code which is a single digit from among 1,2,3, …, 9.
3. The digit 9 codes two letters, and every other digit codes three letters.
4. The code for a word is constructed by arranging the digits corresponding to its letters in a non-decreasing sequence.
1) What best can be concluded about the code for the letter L?
(1) 1
(2) 8
(3) 1 or 8
(4) 6
2) What best can be concluded about the code for the letter B?
(1) 3
(2) 1 or 3 or 4
(3) 1
(4) 3 or 4
3) For how many digits can the complete list of letters associated with that digit be identified?
(1) 3
(2) 2
(3) 0
(4) 1
4) Which set of letters CANNOT be coded with the same digit?
(1) S,E,Z
(2) X,Y,Z
(3) S,U,V
(4) I,B,M
Read the following and answer the questions that follow
A showroom is open on all seven days every week. It has five employees - Alex, Bhabha, Cathy, Dilip, and Ethan. The showroom must be staffed by three employees on Sunday, and by two employees on all the other six days.
The following facts are also known.
1. Each employee works on the same three days every week.
2. Each employee works on two consecutive days but not on three consecutive days.
3. Alex and Dilip work together on Tuesday and Wednesday, while their third working days are different.
4. Bhabha or Cathy do not work with Alex on any day.
5. Cathy does not work on Saturday or Monday.
5) On which of the following days does Alex work?
(1) Friday
(2) Sunday
(3) Saturday
(4) Monday
6) Employees who work on Sunday are:
(1) Cathy, Dilip and Ethan
(2) Alex, Dilip and Ethan
(3) Bhabha, Cathy and Dilip
(4) Bhabha, Cathy and Ethan
7) The consecutive days on which Bhabha works are:
(1) Friday and Saturday
(2) Saturday and Sunday
(3) Thursday and Friday
(4) Sunday and Monday
8) On how many days do Bhabha and Cathy work together in a week?
Answer:
9) On how many days do Dilip and Ethan work together in a week?
Answer:
Read the following and answer the Questions that follow
Princess, Queen, Rani and Samragni were the four finalists in a dance competition. Ashman, Badal, Gagan and Dyu were the four music composers who individually assigned items to the dancers. Each dancer had to individually perform in two dance items assigned by the different composers. The first items performed by the four dancers were all assigned by different music composers. No dancer performed her second item before the performance of the first item by any other dancers. The dancers performed their second items in the same sequence of their performance of their first items.
The following additional facts are known.
i) No composer who assigned item to Princess, assigned any item to Queen.
ii) No composer who assigned item to Rani, assigned any item to Samragni.
iii) The first performance was by Princess; this item was assigned by Badal.
iv) The last performance was by Rani; this item was assigned by Gagan.
v) The items assigned by Ashman were performed consecutively. The number of performances between items assigned by each of the remaining composers was the same.
10) Which of the following is true?
(1) The second performance was composed by Gagan.
(2) The third performance was composed by Ashman.
(3) The second performance was composed by Dyu.
(4) The third performance was composed by Dyu.
11) Which of the following is FALSE?
(1) Samragni did not perform in any item composed by Ashman.
(2) Rani did not perform in any item composed by Badal.
(3) Queen did not perform in any item composed by Gagan.
(4) Princess did not perform in any item composed by Dyu.
12) The sixth performance was composed by:
(1) Badal
(2) Gagan
(3) Ashman
(4) Dyu
13) Which pair of performances were composed by the same composer?
(1) The second and the sixth
(2) The third and the seventh
(3) The first and the sixth
(4) The first and the seventh
According to a coding scheme the sentence
Peacock is designated as the national bird of India
is coded as 5688999 35 1135556678 56 458 13666689 1334 79 13366
This coding scheme has the following rules:
1. The scheme is case-insensitive (does not distinguish between upper case and lower case letters).
2. Each letter has a unique code which is a single digit from among 1,2,3, …, 9.
3. The digit 9 codes two letters, and every other digit codes three letters.
4. The code for a word is constructed by arranging the digits corresponding to its letters in a non-decreasing sequence.
1) What best can be concluded about the code for the letter L?
(1) 1
(2) 8
(3) 1 or 8
(4) 6
2) What best can be concluded about the code for the letter B?
(1) 3
(2) 1 or 3 or 4
(3) 1
(4) 3 or 4
3) For how many digits can the complete list of letters associated with that digit be identified?
(1) 3
(2) 2
(3) 0
(4) 1
4) Which set of letters CANNOT be coded with the same digit?
(1) S,E,Z
(2) X,Y,Z
(3) S,U,V
(4) I,B,M
Read the following and answer the questions that follow
A showroom is open on all seven days every week. It has five employees - Alex, Bhabha, Cathy, Dilip, and Ethan. The showroom must be staffed by three employees on Sunday, and by two employees on all the other six days.
The following facts are also known.
1. Each employee works on the same three days every week.
2. Each employee works on two consecutive days but not on three consecutive days.
3. Alex and Dilip work together on Tuesday and Wednesday, while their third working days are different.
4. Bhabha or Cathy do not work with Alex on any day.
5. Cathy does not work on Saturday or Monday.
5) On which of the following days does Alex work?
(1) Friday
(2) Sunday
(3) Saturday
(4) Monday
6) Employees who work on Sunday are:
(1) Cathy, Dilip and Ethan
(2) Alex, Dilip and Ethan
(3) Bhabha, Cathy and Dilip
(4) Bhabha, Cathy and Ethan
7) The consecutive days on which Bhabha works are:
(1) Friday and Saturday
(2) Saturday and Sunday
(3) Thursday and Friday
(4) Sunday and Monday
8) On how many days do Bhabha and Cathy work together in a week?
Answer:
9) On how many days do Dilip and Ethan work together in a week?
Answer:
Read the following and answer the Questions that follow
Princess, Queen, Rani and Samragni were the four finalists in a dance competition. Ashman, Badal, Gagan and Dyu were the four music composers who individually assigned items to the dancers. Each dancer had to individually perform in two dance items assigned by the different composers. The first items performed by the four dancers were all assigned by different music composers. No dancer performed her second item before the performance of the first item by any other dancers. The dancers performed their second items in the same sequence of their performance of their first items.
The following additional facts are known.
i) No composer who assigned item to Princess, assigned any item to Queen.
ii) No composer who assigned item to Rani, assigned any item to Samragni.
iii) The first performance was by Princess; this item was assigned by Badal.
iv) The last performance was by Rani; this item was assigned by Gagan.
v) The items assigned by Ashman were performed consecutively. The number of performances between items assigned by each of the remaining composers was the same.
10) Which of the following is true?
(1) The second performance was composed by Gagan.
(2) The third performance was composed by Ashman.
(3) The second performance was composed by Dyu.
(4) The third performance was composed by Dyu.
11) Which of the following is FALSE?
(1) Samragni did not perform in any item composed by Ashman.
(2) Rani did not perform in any item composed by Badal.
(3) Queen did not perform in any item composed by Gagan.
(4) Princess did not perform in any item composed by Dyu.
12) The sixth performance was composed by:
(1) Badal
(2) Gagan
(3) Ashman
(4) Dyu
13) Which pair of performances were composed by the same composer?
(1) The second and the sixth
(2) The third and the seventh
(3) The first and the sixth
(4) The first and the seventh
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