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Question

In a certain code language, 'FALF' is written as 'HCJD'. How will 'OEMC' be written in that language?

The correct answer is

QGKA

Understanding the Coding Language Logic

This question asks us to decipher a coding language where 'FALF' is written as 'HCJD' and then apply the same rule to find how 'OEMC' will be written.

To solve this, we need to identify the pattern or rule that transforms 'FALF' into 'HCJD'. Let's look at the position of each letter in the English alphabet (A=1, B=2, C=3, ..., Z=26).

Analyzing the Code: FALF to HCJD

Let's examine the transformation of each letter:

Original Letter Position Coded Letter Position Change Transformation
F 6 H 8 $8 - 6 = +2$ Position + 2
A 1 C 3 $3 - 1 = +2$ Position + 2
L 12 J 10 $10 - 12 = -2$ Position - 2
F 6 D 4 $4 - 6 = -2$ Position - 2

From the analysis, we can see a clear pattern in the letter transformations:

  • The first letter (F to H) involves adding 2 to the letter's position.
  • The second letter (A to C) involves adding 2 to the letter's position.
  • The third letter (L to J) involves subtracting 2 from the letter's position.
  • The fourth letter (F to D) involves subtracting 2 from the letter's position.

So, the rule for this coding language is: add 2 to the position of the first two letters and subtract 2 from the position of the last two letters.

Applying the Rule to OEMC

Now, we apply the same rule to the word 'OEMC'. We find the position of each letter and apply the corresponding change.

Original Letter Position Rule New Position Coded Letter
O 15 Position + 2 $15 + 2 = 17$ The 17th letter is Q
E 5 Position + 2 $5 + 2 = 7$ The 7th letter is G
M 13 Position - 2 $13 - 2 = 11$ The 11th letter is K
C 3 Position - 2 $3 - 2 = 1$ The 1st letter is A

Applying the rule, the letters of 'OEMC' are transformed into Q, G, K, and A.

Therefore, 'OEMC' is written as 'QGKA' in this code language.

Comparing with Options

Let's check which option matches our result 'QGKA':

  • Option 1: QGAK (Does not match)
  • Option 2: QGKA (Matches)
  • Option 3: QKAG (Does not match)
  • Option 4: QKGA (Does not match)

The coded word we found, 'QGKA', exactly matches Option 2.

Revision Table: Letter Coding Transformation

Summary of the coding applied in this problem:

Original Word Coded Word Coding Rule Identified
FALF HCJD Letters 1 & 2: Position + 2
Letters 3 & 4: Position - 2
OEMC QGKA Same rule applied to find the code.

Additional Information: Master Letter Coding Questions

Letter coding is a common type of reasoning question often seen in competitive exams. The key to solving these problems is to quickly identify the underlying rule or pattern used to transform one set of letters into another.

Here are some important points and strategies for solving letter coding problems:

  • Alphabetical Positions: Memorizing or quickly listing the alphabetical positions (1-26) of letters is very helpful.
  • Types of Rules: Rules can involve adding or subtracting a constant number from letter positions, reversing the order of letters, substituting letters with their opposites (e.g., A with Z, B with Y), or combinations of these.
  • Segmented Rules: Sometimes, the rule applies differently to different parts of the word (like the first half vs. the second half, or alternating letters), as seen in this problem.
  • Practice: Solving a variety of letter coding questions helps you recognize common patterns quickly.
  • Check Both Ways: After finding a potential rule from the given example (FALF to HCJD), try applying it in reverse (HCJD to FALF) to see if it holds, which can confirm the rule.

By systematically analyzing the changes between the original and coded letters, you can uncover the pattern and solve the puzzle.

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Important Questions from Operations on Place Value

  1. A group of tourists from Australia visited New Delhi for sight-seeing. On a particular day, $\frac{1}{3}$ of them visited Qutub Minar, four times the square root of the total number of tourists visited Red Fort and the remaining 18 tourists were seen walking on the Kartavya Path near the India Gate. What is the total number of tourists who went out for sight-seeing on a particular day?

  2. Anjali and Sanjana have some marbles with them. If Sanjana gives 15 marbles to Anjali, Anjali will have 10 marbles less than twice the marbles with Sanjana. If Sanjana gives 40 marbles to Anjali, Anjali will have 20 marbles more than three times the marbles with Sanjana. Find the number of marbles with Anjali.

  3. If 1 is added to each even digit of the number 85624179 then the digits are arranged in ascending order from left to right. Find the product of the digits which are second from the left end and third from the right end.

  4. If 1 is added to each odd digit and 2 is added to each even digit in the number 6134527, what will be the sum of the last and first digits of the new number thus formed?
  5. If N = 13 and GROUP = 58, then which among the given options will MOBILE be equal to:

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