Based on the analogy given, find the missing pair from the given options.
32 : 13 :: ---- : ----
Analogy Logic Identification
The question presents a number analogy: 32 : 13 :: ---- : ----. We need to identify the relationship between the digits of the first number (32) and the second number (13).
Let the first number be $N_1 = 32$. Its digits are 3 and 2.
Let the second number be $N_2 = 13$.
The relationship is found by squaring the digits of $N_1$ and summing them:
Calculation: ${3}^2 + {2}^2 = 9 + 4 = 13$.
Since ${3}^2 + {2}^2 = 13$, the rule is confirmed: The second number equals the sum of the squares of the digits of the first number.
Option Pair Verification
Now, we apply this rule to the given options:
- Option 1: 51 : 36 Digits of 51 are 5, 1. ${5}^2 + {1}^2 = 25 + 1 = 26 \neq 36$.
- Option 2: 83 : 121 Digits of 83 are 8, 3. ${8}^2 + {3}^2 = 64 + 9 = 73 \neq 121$.
- Option 3: 71 : 81 Digits of 71 are 7, 1. ${7}^2 + {1}^2 = 49 + 1 = 50 \neq 81$.
- Option 4: 47 : 65 Digits of 47 are 4, 7. ${4}^2 + {7}^2 = 16 + 49 = 65 = 65$.
Conclusion
Option 4 (47 : 65) is the correct missing pair because it follows the analogy rule.
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Important Questions from Reasoning Analogy
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.
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Which one of the following statements is the most logical and rational inference that can be made from the above passage?
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?
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?
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?
Consider the following sequence that follows some arrangement : c_accaa_aa_bc_b The letters that appear in the gaps are
