Letter Codes

CAT 2018 Slot 2 · DILR · Medium · Logical Reasoning

All CAT 2018 Slot 2 questionsMore Logical Reasoning questionsAll CAT DILR

Passage / data set

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,…,91, 2, 3, \dots, 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.

Question 1 of 4

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

  1. A.

    6

  2. B.

    8

  3. C.

    1 or 8

  4. D.

    1

Answer

D

Explanation

Comparing words and their digit codes: Word "national" has 8 letters -> coded as 13666689. Word "India" has 5 letters -> 13366. Word "as" -> 56, "is" -> 35. By mapping frequencies of each digit to letters across all words, L is uniquely assigned the digit 1.

Question 2 of 4

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

  1. A.

    1 or 3 or 4

  2. B.

    1

  3. C.

    3

  4. D.

    3 or 4

Answer

C

Explanation

Word "bird" has 4 letters -> 1334. Matching with other known letters (I, R, D), B corresponds uniquely to digit 3.

Question 3 of 4

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

  1. A.

    2

  2. B.

    1

  3. C.

    0

  4. D.

    3

Answer

A

Explanation

Analyzing letter assignments to digits shows that for exactly 2 digits (digit 9 and digit 5), all mapped letters can be completely and uniquely identified.

Question 4 of 4

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

  1. A.

    S, U, V

  2. B.

    X, Y, Z

  3. C.

    S, E, Z

  4. D.

    I, B, M

Answer

A

Explanation

From the deduced letter-to-digit map, S is coded as 5. However, U and V cannot both belong to digit 5 since each digit codes at most 3 letters and digit 5 is already fully assigned to other letters. Thus {S, U, V} CANNOT be coded with the same digit.

Practise this under exam conditions

Sign in to solve it with a live timer, the on-screen CAT calculator, and streak and accuracy tracking across every question you attempt.

Solve in the workspace