Which of the following letter-clusters should replace # and % so that the pattern and relationship followed between the letter-cluster pair on the left side of :: is the same as that on the right side of ::?
#: QVR :: CHD: %
Letter Cluster Analogy Explained
This question presents a letter cluster analogy, requiring us to identify a consistent pattern between two pairs of letter clusters. The structure is A : B :: C : D, meaning the relationship linking A to B is identical to the relationship linking C to D.
In this problem:
- The first pair is represented as
# : QVR. - The second pair is represented as
CHD : %.
Our goal is to determine the letter clusters that should replace # and % to maintain this identical relationship across both pairs.
Analyzing the Letter Pairs
To solve this, we first need to deduce the relationship between the known letters. The correct answer option indicates that # = LQM and % = HMI. Let's use this information to find the pattern.
This means the analogy holds true for:
LQMrelates toQVRin the same way thatCHDrelates toHMI.
Identifying the Alphabetical Pattern
We will examine the positional shifts between letters in the alphabet (where A=1, B=2, ..., Z=26) for both relationships.
Relationship: CHD to HMI
Let's calculate the difference in alphabetical positions for each letter:
- C (position 3) to H (position 8): The shift is $8 - 3 = 5$.
- H (position 8) to M (position 13): The shift is $13 - 8 = 5$.
- D (position 4) to I (position 9): The shift is $9 - 4 = 5$.
We observe a consistent pattern: each letter in the first cluster is replaced by a letter that is 5 positions later in the alphabet.
Relationship: # to QVR
Since the pattern must be the same, the relationship between # and QVR should also follow the "+5" rule, meaning:
- Letter in
#+ 5 positions = Letter inQVR
To find the letters for #, we need to reverse this process. We subtract 5 positions from each letter in QVR:
- For the first letter: Q is the 17th letter. $17 - 5 = 12$. The 12th letter is L.
- For the second letter: V is the 22nd letter. $22 - 5 = 17$. The 17th letter is Q.
- For the third letter: R is the 18th letter. $18 - 5 = 13$. The 13th letter is M.
Thus, # must be LQM.
Confirming the Solution
We have determined that:
#should beLQM.%should beHMI.
This combination (# = LQM, % = HMI) matches Option 1, confirming it as the correct answer.
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.)
