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Question

In a certain code language, RAMP is coded as 3611332. How will DELL be coded in that language?

The correct answer is

851224

Understanding the Coding Language Pattern

This question asks us to decipher a specific coding language used to transform words into numbers. We are given that the word RAMP is coded as 3611332. We need to find the code for the word DELL using the same logic or pattern.

Analyzing the Code for RAMP (3611332)

First, let's consider the alphabetical position of each letter in the word RAMP:

  • R is the 18th letter of the alphabet.
  • A is the 1st letter of the alphabet.
  • M is the 13th letter of the alphabet.
  • P is the 16th letter of the alphabet.

The alphabetical positions are 18, 1, 13, and 16. The code is 3611332. Let's look at how these positions might relate to the code.

Letter Alphabetical Position Part of the Code
R 18 36
A 1 1
M 13 13
P 16 32

Observing the table, we can see a pattern:

  • For the first letter R (position 18), the code part is 36, which is $18 \times 2$.
  • For the second letter A (position 1), the code part is 1, which is the position itself.
  • For the third letter M (position 13), the code part is 13, which is the position itself.
  • For the fourth letter P (position 16), the code part is 32, which is $16 \times 2$.

The code 3611332 is formed by concatenating these results: 36, 1, 13, and 32.

Identifying the Coding Pattern Rule

Based on the transformation of RAMP, the pattern seems to be:

  • Multiply the alphabetical position of the first and last letters by 2.
  • Keep the alphabetical position of the intermediate letters as they are.
  • Concatenate the resulting numbers to form the code.

Applying the Pattern to DELL

Now let's apply this pattern to the word DELL.

Identify the alphabetical position of each letter in DELL:

  • D is the 4th letter.
  • E is the 5th letter.
  • L is the 12th letter.
  • L is the 12th letter.

Apply the coding rule:

  • First letter (D): Position is 4. Multiply by 2: $4 \times 2 = 8$.
  • Second letter (E): Position is 5. This is an intermediate letter. Keep as is: 5.
  • Third letter (L): Position is 12. This is an intermediate letter. Keep as is: 12.
  • Last letter (L): Position is 12. Multiply by 2: $12 \times 2 = 24$.

Concatenate the results: 8, 5, 12, and 24.

The code for DELL is 851224.

Comparing with the Options

Let's check our calculated code against the given options:

  • Option 1: 851224
  • Option 2: 852424
  • Option 3: 810224
  • Option 4: 851214

Our calculated code, 851224, matches Option 1.

Coding Language Reasoning Summary

The coding language works by taking the alphabetical position of each letter. For the first and last letters of the word, their positions are doubled. For all letters in between, their positions are kept as they are. These resulting numbers are then joined together in order to form the final code.

Revision Table: RAMP and DELL Coding

Word Letter Position Rule Applied Coded Value
RAMP R (1st) 18 $18 \times 2$ 36
RAMP A (2nd) 1 Keep as is 1
RAMP M (3rd) 13 Keep as is 13
RAMP P (4th) 16 $16 \times 2$ 32
Concatenated Code for RAMP 3611332
DELL D (1st) 4 $4 \times 2$ 8
DELL E (2nd) 5 Keep as is 5
DELL L (3rd) 12 Keep as is 12
DELL L (4th) 12 $12 \times 2$ 24
Concatenated Code for DELL 851224

Additional Information on Letter Coding

Letter coding is a common type of question in reasoning and logic sections of various exams. These questions test your ability to identify patterns and apply rules consistently. Patterns can be based on:

  • Alphabetical position (A=1, B=2, ..., Z=26).
  • Reverse alphabetical position (A=26, B=25, ..., Z=1).
  • Operations on positions (addition, subtraction, multiplication, division).
  • Positional value (based on the letter's place in the word).
  • Vowels and consonants.
  • Sum of digits of positions.
  • Combination of multiple rules.

Solving such problems requires careful observation and systematic testing of potential patterns based on the given example(s). Once a pattern is found that consistently explains the example, it can be applied to the new word.

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Important Questions from Operations on Place Value

  1. In a certain code language, GRAPES is written as 66. How will PRAISE be written in the same language?

  2. In a certain code language, ALARMING is coded as 150. How will FLOATER be coded in that language?

  3. If B = 3 and H = 9, then SCHOOL = _____

  4. If SCIENCE is coded as 14 and MATHS is coded as 10, then what will be the code for EXAMINATION?

  5. In a certain code language, 'KNOW' is coded as '1614154'. How will 'HIRE' be coded in that language?

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