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Question

In a certain code language, 'GOP' is coded as '38' and 'HVN' is coded as '44'. How will 'PNG' be coded in that language?

The correct answer is

37

Understanding Code Language and Positional Values

This question asks us to decipher a code language where words are converted into numbers. We are given two examples to help us understand the pattern: 'GOP' coded as '38' and 'HVN' coded as '44'. We need to find the code for 'PNG' using the same logic.

Analyzing the Given Codes: GOP and HVN

Let's look at the letters in the given words and their positions in the English alphabet. We can assign a numerical value to each letter based on its position (A=1, B=2, ..., Z=26).

  • For 'GOP':
  • G is the 7th letter.
  • O is the 15th letter.
  • P is the 16th letter.

Let's try adding these positional values together:

G(7) + O(15) + P(16) = 7 + 15 + 16 = 38

This sum matches the given code '38' for 'GOP'.

Now let's check the second example, 'HVN', using the same logic:

  • For 'HVN':
  • H is the 8th letter.
  • V is the 22nd letter.
  • N is the 14th letter.

Adding these positional values:

H(8) + V(22) + N(14) = 8 + 22 + 14 = 44

This sum matches the given code '44' for 'HVN'.

Based on these two examples, the pattern or logic used in this code language is the sum of the alphabetical positional values of the letters in the word.

Coding 'PNG' Using the Identified Pattern

Now we apply the same rule to find the code for 'PNG'. We find the alphabetical positional value for each letter in 'PNG'.

  • P is the 16th letter.
  • N is the 14th letter.
  • G is the 7th letter.

Now, we sum these positional values:

P(16) + N(14) + G(7) = 16 + 14 + 7 = 37

Therefore, the code for 'PNG' in this language is 37.

Summary of Calculations

Word Letters Positional Values Sum Code
GOP G, O, P 7, 15, 16 \(7 + 15 + 16 = 38\) 38
HVN H, V, N 8, 22, 14 \(8 + 22 + 14 = 44\) 44
PNG P, N, G 16, 14, 7 \(16 + 14 + 7 = 37\) ?

The calculated code for 'PNG' is 37.

Conclusion

The code for 'PNG' is 37.

Code Language Revision

Coding and decoding questions often involve patterns based on:

  • Alphabetical positional values (forward or reverse).
  • Adding, subtracting, multiplying, or dividing these values.
  • Adding or subtracting a constant number.
  • Patterns related to vowels or consonants.
  • Letter shifting (like in Caesar cipher).
  • Mixing or reversing letters.

Additional Information on Coding Decoding

Coding-decoding is a common topic in reasoning ability tests. It checks your ability to identify patterns and apply them to new inputs. Practice with different types of coding (letter coding, number coding, symbol coding) is essential. Always look for the simplest pattern first, like positional values or basic arithmetic operations.

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

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