In a certain code language, 'RAKHI' is coded as 36 - 2 - 22 - 16 - 18 and 'SHALU' is coded as 38 - 16 - 2 - 24 - 42. How will 'MANJU' be coded in that language?

Question

Prepp Team · Accepted Answer

Understanding Coding Decoding Patterns

This question asks us to decode a word based on a specific pattern observed in the coding of two other words. In coding-decoding questions, the key is to identify the rule applied to convert the letters of the original word into the given code.

Analyzing the Given Examples: RAKHI and SHALU

Let's look at the first example provided:

RAKHI is coded as 36 - 2 - 22 - 16 - 18

We need to see how each letter in RAKHI corresponds to the numbers in the code. Let's consider the alphabetical position of each letter:

R is the 18th letter
A is the 1st letter
K is the 11th letter
H is the 8th letter
I is the 9th letter

Now, compare the letter positions with the given code numbers:

R (18) → 36
A (1) → 2
K (11) → 22
H (8) → 16
I (9) → 18

It appears that each number in the code is double the alphabetical position of the corresponding letter. Let's check if this pattern holds for the second example.

The second example is:

SHALU is coded as 38 - 16 - 2 - 24 - 42

Let's check the alphabetical positions and the coded numbers:

S is the 19th letter → 38 (19 $\times$ 2)
H is the 8th letter → 16 (8 $\times$ 2)
A is the 1st letter → 2 (1 $\times$ 2)
L is the 12th letter → 24 (12 $\times$ 2)
U is the 21st letter → 42 (21 $\times$ 2)

The pattern holds true for SHALU as well. The rule is confirmed: the code for each letter is its alphabetical position multiplied by 2.

Applying the Pattern to MANJU

Now we will apply the identified coding rule to the word MANJU to find its code. We need to find the alphabetical position of each letter and multiply it by 2.

M is the 13th letter. Code for M = 13 $\times$ 2 = 26
A is the 1st letter. Code for A = 1 $\times$ 2 = 2
N is the 14th letter. Code for N = 14 $\times$ 2 = 28
J is the 10th letter. Code for J = 10 $\times$ 2 = 20
U is the 21st letter. Code for U = 21 $\times$ 2 = 42

So, the code for MANJU is 26 - 2 - 28 - 20 - 42.

Comparing with Options

Let's compare our derived code with the given options:

Option 1: 13 - 2 - 28 - 10 - 24
Option 2: 26 - 2 - 28 - 20 - 42
Option 3: 13 - 2 - 14 - 10 - 24
Option 4: 26 - 1 - 14 - 20 - 42

Our calculated code, 26 - 2 - 28 - 20 - 42, matches Option 2.

Letter	Alphabetical Position	Coding Rule (Position $\times$ 2)	Coded Value
M	13	13 $\times$ 2	26
A	1	1 $\times$ 2	2
N	14	14 $\times$ 2	28
J	10	10 $\times$ 2	20
U	21	21 $\times$ 2	42

Revision Table: Coding Decoding Summary

Original Word	Code	Coding Pattern
RAKHI	36 - 2 - 22 - 16 - 18	Alphabetical Position $\times$ 2
SHALU	38 - 16 - 2 - 24 - 42	Alphabetical Position $\times$ 2
MANJU	26 - 2 - 28 - 20 - 42	Alphabetical Position $\times$ 2

Additional Information on Coding Decoding

Coding and decoding questions are common in reasoning sections of competitive exams. They test your ability to identify patterns and rules. Common patterns include:

Alphabetical Position: Using the direct position of letters (A=1, Z=26).
Reverse Alphabetical Position: Using the position from the end (A=26, Z=1).
Adding/Subtracting a Constant: Adding or subtracting a fixed number from the position.
Multiplying/Dividing: Multiplying or dividing the position by a constant (as seen in this problem).
Vowel/Consonant Specific Rules: Different rules for vowels and consonants.
Sum of Positions: Coding a word by the sum of positions of its letters.
Pattern based on sequence: For example, position +1, position -1, position +2, position -2 etc.

Practicing various types of coding decoding problems helps improve pattern recognition skills, which is crucial for solving these questions quickly and accurately during exams.