Select the pair from among the given options that is analogous to the given pair. 12: 141 8: 61 (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its 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.)
The analogy presented is based on a mathematical relationship between the numbers in each pair. Let's analyze the given pair (12, 141):
- Observe that \(12 \times 10 = 120\)
- Then, \(120 + 21 = 141\). Note that 21 is obtained by \(12 + 9\).
- The pattern is: \(x \times 10 + (x + 9) = y\), where (x, y) represents the number pair.
Let's test this pattern with the other given pair (8, 61):
- \(8 \times 10 = 80\)
- \(80 + (8 + 9) = 80 + 17 = 97 \neq 61\)
The pattern does not fit the second pair (8,61). Let's try another approach. Let's examine the correct answer (18, 321).
- \(18 \times 10 = 180\)
- \(180 + 141 = 321\)
- We notice that \(141\) is from the first pair \(12 \times 10 + (12+9) = 141\). However, this pattern is not consistent
Let's analyze a different pattern. Let's assume the pattern is \(x \times 10 + (x + y)\), where 'y' is a value to be determined. Let's try applying this pattern to the pairs:
For (12, 141):
- \(12 \times 10 + (12 + 9) = 141\)
For (8, 61):
- \(8 \times 10 + (8 + y) = 61\)
- \(80 + 8 + y = 61\)
- \(y = 61 - 88 = -27\)
This approach is not consistent either. It appears that the question might have a flaw or a typo in the given options. However, the provided correct answer seems to follow a pattern involving squaring and adding a value.
This demonstrates that it is crucial to correctly understand the pattern present in the numbers to answer such questions accurately.
Similar Questions
- In the following question, a pair of words is given in capital letters, followed by five answer options consisting of word pairs. Choose the option in which the relationship between the two words most closely matches the relationship between the given pair. MAVERICK : CONFORMITY
1. Iconoclast: Tradition
2. Dilettante: Expertise
3. Ascetic: Indulgence
4. Demagogue: Populace
5. Altruist: Selfishness Select the triad from among the given options that is analogous to the given triad.
668 – 776 – 992
- In each of the following questions, a specific relationship is given between two words. Identify the word that shares a similar semantic relationship with the given pair. Choose the most appropriate option from the four choices given below.
Surgeon: Scalpel :: Sculptor : ? - In each of the following question, a pair of words (letter sequences) is given on the left-hand side of the double colon (::), which follows a certain alphabetical pattern. Identify the logic in the first pair and apply the same logic to the third word to find the correct corresponding word from the options.
RED : RFE :: TOP:? Select the option that is related to the third word in the same way as the second word is related to the first word. (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)
Sugar: Diabetes :: Fat :- In each of the following questions, a pair of words (letter sequences) is given on the left-hand side of the double colon (::), which follows a certain alphabetical pattern. Identify the logic in the first pair and apply the same logic to the third word to find the correct corresponding word from the options.
BOX: ANT:: FIX: ? If △ : 3 : : □ : ? : : ⬠ : 5
- In each of the following questions, a specific relationship is given between two words. Identify the word that shares a similar semantic relationship with the given pair. Choose the most appropriate option from the four choices given below.
Painter: Canvas :: Author:? - Choose the missing number in the following analogy.
\(4:16::6:?\) - In each of the following questions, two numbers are given which follow a certain logical or arithmetic relationship. Identify the same pattern and apply it to find the missing number in the second pair. Choose the correct option from the given alternatives.
\(19384: 31506 :: 28493:?\)
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.
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?
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
