In the following question, select the related letters from the given alternatives.
BD: WY :: FH : ?
Analogy Problem Setup
The question presents a letter analogy: BD is related to WY in the same way that FH is related to the missing pair. We need to find this missing pair using logical reasoning.
Alphabetical Position Mapping
First, assign numerical values to each letter based on its position in the alphabet (A=1, B=2, ..., Z=26):
- B = 2
- D = 4
- W = 23
- Y = 25
- F = 6
- H = 8
Identifying the Transformation Rule
Analyze the transformation from the first pair (BD) to the second pair (WY) to find the pattern:
- First letter: B (position 2) transforms into W (position 23). The shift is calculated as $23 - 2 = 21$.
- Second letter: D (position 4) transforms into Y (position 25). The shift is calculated as $25 - 4 = 21$.
The consistent pattern is adding 21 to the position of each letter. If the sum exceeds 26, we wrap around the alphabet (e.g., using the modulo operator).
Applying the Rule to Find the Missing Pair
Now, apply the identified "+21 shift" rule to the letters FH:
First letter (F): Its position is 6.
- Calculation: $6 + 21 = 27$.
- Wrap around: The alphabet has 26 letters. $27 \pmod{26} = 1$. The 1st letter of the alphabet is A.
Second letter (H): Its position is 8.
- Calculation: $8 + 21 = 29$.
- Wrap around: $29 \pmod{26} = 3$. The 3rd letter of the alphabet is C.
Combining the resulting letters gives the pair AC.
Thus, the completed analogy is BD : WY :: FH : AC.
Important Questions from Reasoning Analogy
WSO is related to XXUP in a certain way based on the English alphabetical order. In the same way, ONKG is related to PPMH. To which of the following is VURN related, following the same logic?
Select the word-pair that best represents a similar relationship to the one expressed in the pair of words given below.
(The words must be considered as meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.)
Withdraw : ExtractSelect the word-pair that best represents a similar relationship to the one expressed in the pair of words given below.
Duleep Trophy : Cricket
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.)
(4, 35, 11)
(1, 82, 61)
7 is related to 30 following a certain logic. Following the same logic, 14 is related to 100. To which of the following is 22 related following the same logic?
(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.)
