Coding & DecodingCAT Previous-Year Questions

8 previous-year questions on Coding & Decoding from CAT, with full solutions. Practise free — check answers as you go; sign in to save your progress.

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Coding & Decoding · CAT PYQs

CAT 2019 Slot 1 · DILR
Passage / Data

Answer the following question based on the information given below.

The following table represents addition of two six-digit numbers given in the first and the second rows, while the sum is given in the third row. In the representation, each of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 has been coded with one letter among A, B, C, D, E, F, G, H, J, K, with distinct letters representing distinct digits.

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Q1.

Which digit does the letter A represent?

CAT 2019 Slot 1 · DILR
Passage / Data

Answer the following question based on the information given below.

The following table represents addition of two six-digit numbers given in the first and the second rows, while the sum is given in the third row. In the representation, each of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 has been coded with one letter among A, B, C, D, E, F, G, H, J, K, with distinct letters representing distinct digits.

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Q2.

Which digit does the letter B represent?

CAT 2019 Slot 1 · DILR
Passage / Data

Answer the following question based on the information given below.

The following table represents addition of two six-digit numbers given in the first and the second rows, while the sum is given in the third row. In the representation, each of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 has been coded with one letter among A, B, C, D, E, F, G, H, J, K, with distinct letters representing distinct digits.

​​​​​​​

Q3.

Which among the digits 3, 4, 6 and 7 cannot be represented by the letter D?

CAT 2019 Slot 1 · DILR
Passage / Data

Answer the following question based on the information given below.

The following table represents addition of two six-digit numbers given in the first and the second rows, while the sum is given in the third row. In the representation, each of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 has been coded with one letter among A, B, C, D, E, F, G, H, J, K, with distinct letters representing distinct digits.

​​​​​​​

Q4.

Which among the digits 4, 6, 7 and 8 cannot be represented by the letter G?

CAT 2018 Slot 2 · DILR
Passage / Data

Answer the following question based on the information given below.

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.
Q5.

What best can be concluded about the code for the letter L?

CAT 2018 Slot 2 · DILR
Passage / Data

Answer the following question based on the information given below.

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.
Q6.

What best can be concluded about the code for the letter B?

CAT 2018 Slot 2 · DILR
Passage / Data

Answer the following question based on the information given below.

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.
Q7.

For how many digits can the complete list of letters associated with that digit be identified?

CAT 2018 Slot 2 · DILR
Passage / Data

Answer the following question based on the information given below.

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.
Q8.

Which set of letters CANNOT be coded with the same digit?