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Question

VASE is related to ZEOA in a certain way based on the English alphabetical order. In the same way, DIKW is related to HMGS. To which of the following is LQCO related, following the same logic?

The correct answer is
PUYK

Decoding Alphabetical Patterns: VASE to ZEOA

The question presents a relationship between letter pairs based on the English alphabet. We need to identify this pattern and apply it to find the corresponding pair for LQCO.

Pattern Identification

  • VASE relates to ZEOA.
  • Let's check the shifts in alphabetical positions:
    • V (position 22) + 4 = Z (position 26)
    • A (position 1) + 4 = E (position 5)
    • S (position 19) - 4 = O (position 15)
    • E (position 5) - 4 = A (position 1)
  • The pattern observed is: +4, +4, -4, -4.

Verifying the Pattern

Let's verify this pattern with the second pair: DIKW relates to HMGS.

  • D (position 4) + 4 = H (position 8)
  • I (position 9) + 4 = M (position 13)
  • K (position 11) - 4 = G (position 7)
  • W (position 23) - 4 = S (position 19)

The pattern +4, +4, -4, -4 holds true for both given examples.

Applying the Logic to LQCO

Now, we apply the same +4, +4, -4, -4 logic to the word LQCO:

  • L (position 12): $12 + 4 = 16$. The 16th letter is P.
  • Q (position 17): $17 + 4 = 21$. The 21st letter is U.
  • C (position 3): $3 - 4 = -1$. Wrapping around the alphabet (A=1, Z=26), -1 corresponds to the 25th letter, which is Y. (Calculation: $3 - 4 = -1 \equiv 25 \pmod{26}$)
  • O (position 15): $15 - 4 = 11$. The 11th letter is K.

Combining these results, LQCO relates to PUYK.

Conclusion

Following the identified alphabetical shift pattern (+4, +4, -4, -4), LQCO corresponds to PUYK.

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Important Questions from Analogy (Notes)

  1. If 15: 225:: 35: x, then what is the value of $\sqrt{x + 100}$ ?
  2. In the following question, find out the alternative which will replace the question mark.
    84:9:: 124: ? :: 292:17
  3. EGDH is related to FIFI in a certain way based on the English alphabetical order. In the same way, JMHL is related to KOJM. To which of the following is NPRS related, following the same logic?
  4. Below are given two sets of numbers. In each set of numbers, a certain mathematical operation on the first number results in the second number. Similarly, certain mathematical operation on the second number results in the third number and so on. Which of the given options follows the same set of operations as in question?
    (NOTE – A two/three-digit number cannot be broken into individual digits for operations, e.g., if 37 is followed by 10, the operation cannot be 3+7 as a two-digit number cannot be broken into individual digits.)
    7 - 21 - 31 - 62; 9 - 27 - 37 - 74
  5. Select the set in which the numbers are related in the same way as are the numbers of the following sets.
    (NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding / subtracting / multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

    (20, 46, 2)
    (32, 136, 24)
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