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Question

In a certain code language, 'FRISK' is written as '315' and 'DOUBLE' is written as '354'. How will 'TENT' be written in that code language?

The correct answer is

236

Understanding the Coding Language Pattern

This problem involves a coding language where words are converted into numbers. We are given two examples of this conversion and need to apply the same logic to a new word. To solve this, we first need to identify the specific rule or pattern used in the given examples.

Analyzing the Examples: FRISK and DOUBLE

Let's look at the provided examples:

  • 'FRISK' is coded as '315'
  • 'DOUBLE' is coded as '354'

We need to find a relationship between the letters in the words and the resulting numbers.

Finding the Pattern for FRISK

Let's consider the alphabetical position of each letter in the word 'FRISK'.

Letter Alphabetical Position
F 6
R 18
I 9
S 19
K 11

Let's sum the alphabetical positions:

\(\text{Sum of positions for FRISK} = 6 + 18 + 9 + 19 + 11\)

\(\text{Sum} = 63\)

The coded number for FRISK is 315. The number of letters in FRISK is 5.

Let's try multiplying the sum of positions by the number of letters:

\(63 \times 5 = 315\)

This matches the coded value for FRISK.

Verifying the Pattern with DOUBLE

Let's apply the same logic to the word 'DOUBLE'.

Letter Alphabetical Position
D 4
O 15
U 21
B 2
L 12
E 5

Let's sum the alphabetical positions:

\(\text{Sum of positions for DOUBLE} = 4 + 15 + 21 + 2 + 12 + 5\)

\(\text{Sum} = 59\)

The number of letters in DOUBLE is 6.

Let's apply the rule (Sum of positions \(\times\) Number of letters):

\(59 \times 6 = 354\)

This also matches the coded value for DOUBLE. The pattern seems consistent.

Applying the Pattern to TENT

Now, we will apply the established rule to the word 'TENT'.

First, find the alphabetical position of each letter in 'TENT'.

Letter Alphabetical Position
T 20
E 5
N 14
T 20

Next, sum the alphabetical positions:

\(\text{Sum of positions for TENT} = 20 + 5 + 14 + 20\)

\(\text{Sum} = 59\)

The number of letters in TENT is 4.

Finally, apply the rule (Sum of positions \(\times\) Number of letters):

\(\text{Coded value for TENT} = 59 \times 4\)

\(59 \times 4 = 236\)

So, 'TENT' will be written as '236' in this code language.

Conclusion on the TENT Code

Based on the coding pattern observed in 'FRISK' and 'DOUBLE', the word 'TENT' is coded as 236.

Revision Table: Coding Language Summary

Word Sum of Alphabetical Positions Number of Letters Calculated Code (Sum \(\times\) Letters) Given Code
FRISK 63 5 \(63 \times 5 = 315\) 315
DOUBLE 59 6 \(59 \times 6 = 354\) 354
TENT 59 4 \(59 \times 4 = 236\) ?

Additional Information: Coding-Decoding Concepts

Coding-decoding questions are common in logical reasoning tests. They assess your ability to identify patterns and rules. Some common patterns include:

  • Letter Shifting: Letters are shifted forward or backward by a fixed number of positions.
  • Reverse Alphabetical Order: Using the reverse position of letters (A=26, B=25, etc.).
  • Direct Letter Substitution: One letter is directly replaced by another or a symbol.
  • Word/Sentence Coding: Entire words or sentences are coded based on specific rules (like the one in this problem, or based on common letters, number of letters, etc.).
  • Number/Symbol Coding: Letters are coded using numbers or symbols based on position, value, or other logic.

Solving these questions requires careful observation, pattern recognition, and systematic testing of potential rules.

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Important Questions from Operations on Place Value

  1. In a certain code language, ‘RAJ’ is coded as ‘87’ and ‘GITA’ is coded as ‘148’. How will ‘VARUN’ be coded in that language?

  2. In a certain code language, ‘ALPINE’ is coded as ‘171’ and ‘SPRING’ is coded as ‘83’. How will ‘CAPITAL’ be coded in that language?

  3. In a certain code language, ‘SERVANT’ is coded as ‘192182211420’. How will ‘MAGNIFY’ be coded as in that language?

  4. If CAB is coded as 6 and BED is coded as 40, then how will HAD be coded as?

  5. In a certain code language, 'FUEL’ is coded as '50' and 'JEER' is coded as '44'. How will 'FARE' be coded in that language?

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