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Question

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

The correct answer is

22

Understanding Word Coding Patterns

This question asks us to decipher a coding pattern applied to words and then use that pattern to find the code for a new word, EXAMINATION. We are given two examples to help us identify the logic.

Analyzing the Given Examples

Let's look at the provided examples:

  • SCIENCE is coded as 14.
  • MATHS is coded as 10.

We need to find a relationship between the word and the number it is coded into.

Identifying the Coding Logic

Let's count the number of letters in each word:

  • SCIENCE has 7 letters (S, C, I, E, N, C, E). The code is 14.
  • MATHS has 5 letters (M, A, T, H, S). The code is 10.

Now, let's compare the number of letters with the given code:

  • For SCIENCE: Number of letters = 7, Code = 14. Notice that $7 \times 2 = 14$.
  • For MATHS: Number of letters = 5, Code = 10. Notice that $5 \times 2 = 10$.

It appears the coding pattern is: Code = (Number of letters in the word) $\times$ 2.

Applying the Pattern to EXAMINATION

Now we will apply this pattern to the word EXAMINATION.

First, let's count the number of letters in EXAMINATION:

E X   A   M   I   N   A   T   I   O   N

There are 11 letters in the word EXAMINATION.

Using the identified pattern, the code for EXAMINATION will be:

Code for EXAMINATION = (Number of letters in EXAMINATION) $\times$ 2

Code for EXAMINATION = 11 $\times$ 2

Code for EXAMINATION = 22

Verification with Options

The calculated code for EXAMINATION is 22. Let's check the given options:

  • Option 1: 21
  • Option 2: 22
  • Option 3: 11
  • Option 4: 23

Our calculated code, 22, matches Option 2.

Final Answer Derivation

Based on the established pattern where the code is twice the number of letters in the word, the code for EXAMINATION (11 letters) is $11 \times 2 = 22$. This matches the second option.

Word Number of Letters Coding Pattern Code
SCIENCE 7 $7 \times 2$ 14
MATHS 5 $5 \times 2$ 10
EXAMINATION 11 $11 \times 2$ 22

Revision Table: Key Coding Concepts

Understanding different types of coding/decoding is important for competitive exams. Here's a quick overview:

Type of Coding Description Example Logic
Letter Coding Letters are replaced by other letters based on a rule (e.g., shifting alphabets). A → C (shifted by +2)
Number Coding Words are coded into numbers (like in this problem). Based on letter position, number of letters, vowel/consonant count, etc.
Symbol Coding Words/letters are coded into symbols. HOT → #$*

Additional Information: Strategies for Solving Coding Problems

When you encounter coding and decoding problems, try these strategies:

  • Look for simple patterns first, like counting letters or vowels/consonants.
  • Check if letters are shifted forward or backward in the alphabet.
  • See if letters are replaced by their position in the alphabet (A=1, B=2, etc.).
  • Sometimes, letters are replaced by their opposite letter (A → Z, B → Y, etc.).
  • If numbers are involved, consider operations like addition, subtraction, multiplication, or division based on letter counts or positions.
  • Write down the examples clearly to easily compare the word and its code.

Practicing various types of coding problems helps you recognize patterns quickly.

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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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