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Question

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: %

The correct answer is
# = LQM, % = HMI

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:

  • LQM relates to QVR in the same way that CHD relates to HMI.

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 in QVR

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 be LQM.
  • % should be HMI.

This combination (# = LQM, % = HMI) matches Option 1, confirming it as the correct answer.

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Important Questions from Reasoning Analogy

  1. Directions for the following 8 (eight) items: Read the following six passages and answer the items that follow each passage. Your answers to these items should be based on the passages only. 

    Passage –1 Low-end IoT (Internet of Things) devices are cheap commodity items: addressing security would add to the cost. This class of items is proliferating with new applications; many home appliances, thermostats, security and monitoring devices and personal convenience devices are part of the IoT. So are fitness trackers, certain medical implants and computer-like devices in automobiles. The IoT is expected to expand exponentially — but new security challenges are daunting. 

     Which one of the following statements is the most logical and rational inference that can be made from the above passage?

  2. With the digital phenomenon restructuring most social sectors, it is little surprise that global trade negotiations are now eyeing the digital area in an attempt to pre-emptively colonise it. Big Data is freely collected or mined from developing countries, and converted into digital intelligence in developed countries. This intelligence begins to control different sectors and extract monopoly rents. A large foreign company providing cab service, for instance, is not a work of cars and drivers, it is digital intelligence about commuting, public transport, roads, traffic, city events, presonal behavioural characteristics of commuters and driver and so on. 

     Which one of the following is the most logical and rational corollary to the above passage?

  3. With the digital phenomenon restructuring most social sectors, it is little surprise that global trade negotiations are now eyeing the digital area in an attempt to pre-emptively colonise it. Big Data is freely collected or mined from developing countries, and converted into digital intelligence in developed countries. This intelligence begins to control different sectors and extract monopoly rents. A large foreign company providing cab service, for instance, is not a work of cars and drivers, it is digital intelligence about commuting, public transport, roads, traffic, city events, presonal behavioural characteristics of commuters and driver and so on. 

    Which of the following is most definitively implied by the above passage?

  4. The rural poor across the world, including India, have contributed little to human-induced climate change, yet they are on the frontline in coping with its effects. Farmers can no longer rely on historical averages for rainfall and temperature, and the more frequent and extreme weather events, such as droughts and floods, can spell disaster. And there are new threats, such as sea level rise and the impact of melting glaciers on water supply. How significant are small farms? As many as two billion peopre worldwide depend on them for their food and livelihood. Small-holder farmers in India produce 41 percent of the country's food grains, and other food items that contribute to local and national food security. 

    What is the most logical and rational Corry to the above passage?

  5. Consider the following sequence that follows some arrangement : c_accaa_aa_bc_b The letters that appear in the gaps are

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