Understanding the Coding Pattern
We are given two coded words and need to find the code for a specific letter.
- 'SHAT' is coded as '4956'
- 'ASHY' is coded as '3645'
The goal is to determine the code for the letter 'Y'.
Analyzing Letter and Code Correspondences
Let's compare the letters and digits in the given examples:
Word 1: S H A T
Code 1: 4 9 5 6
Word 2: A S H Y
Code 2: 3 6 4 5
We identify the letters common to both words ('S', 'H', 'A') and the digits common to both codes ('4', '5', '6'). This suggests a direct substitution cipher where these common letters correspond to these common digits, though not necessarily in the same order.
Deducing the Code for 'Y'
Consider the word 'ASHY' and its code '3645'.
- The letters are A, S, H, Y.
- The digits are 3, 6, 4, 5.
From the comparison above, we know that the letters 'A', 'S', and 'H' must correspond to three of the digits '4', '5', and '6'.
Therefore, the letter 'Y', which is unique to 'ASHY' among the compared letters, must correspond to the digit that is unique to the code '3645' when considering the mapping of A, S, H to 4, 5, 6.
The digits in '3645' are {3, 6, 4, 5}.
The digits common to both codes are {4, 5, 6}.
The digit unique to '3645' in this context is '3'.
Thus, the code for 'Y' must be '3'.
We can also deduce the code for 'T' from 'SHAT' = '4956'. The letters {S, H, A} correspond to {4, 5, 6}. The remaining letter is 'T' and the remaining digit is '9'. So, T=9.
Checking consistency:
- ASHY = 3645 implies Y = 3 and {A, S, H} = {6, 4, 5}
- SHAT = 4956 implies T = 9 and {S, H, A} = {4, 5, 6}
Both conditions are met. The code for 'Y' is '3'.
Final Answer
The code for 'Y' is 3.
Similar Questions
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If each vowel in the word FRIENDLY is changed to the letter following it in the English alphabetical order and each consonant is changed to the letter preceding it in the English alphabetical order, then which letter will be in the second position from the right in the new group of letters thus formed?
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Important Questions from Coding decoding
The letters from A to Z are numbered from 1 to 26 respectively. If GHI = 1578 and DEF = 912, then what is ABC equal to?
What is the missing term in the following? ACPQ : BESU:: MNGI: @
what is the largest number among the following?
What is the greatest length x such that 3 ½ m and 8 ¾ m are integral multiples of x?
In a certain code, '256' means 'red colour chalk', '589' means 'green colour flower' and '254' means 'white colour chalk'. The digit in the code that indicates `white' is
