(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.)
Logic Identification in Number Relations
The question presents a number analogy where a specific logic connects the first number to the second in each pair.
- First pair: 10 is related to 120.
- Second pair: 12 is related to 168.
We need to find the underlying mathematical operation.
Analyzing the First Pair (10 to 120)
Let the first number be $N$. The relation appears to be $N \times (N + 2)$.
For the first pair: $10 \times (10 + 2) = 10 \times 12 = 120$. This matches the given relation.
Verifying the Logic with the Second Pair (12 to 168)
Using the same logic, $N \times (N + 2)$:
For the second pair: $12 \times (12 + 2) = 12 \times 14 = 168$. This confirms the logic.
Applying the Logic to Find the Missing Number
The number we need to find the relation for is 18.
Applying the established logic, $N \times (N + 2)$, where $N=18$:
Calculation: $18 \times (18 + 2) = 18 \times 20$.
Result: $18 \times 20 = 360$.
Therefore, 18 is related to 360 following the same logic.
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
