CAT 2025 Slot 1 VARC Question & Solution
Passage
The passage below is accompanied by four questions. Based on the passage, choose the best answer for each question.
Understanding the key properties of complex systems can help us clarify and deal with many new and existing global challenges, from pandemics to poverty . . . A recent study in Nature Physics found transitions to orderly states such as schooling in fish (all fish swimming in the same direction), can be caused, paradoxically, by randomness, or 'noise' feeding back on itself. That is, a misalignment among the fish causes further misalignment, eventually inducing a transition to schooling. Most of us wouldn't guess that noise can produce predictable behaviour. The result invites us to consider how technology such as contact-tracing apps, although informing us locally, might negatively impact our collective movement. If each of us changes our behaviour to avoid the infected, we might generate a collective pattern we had aimed to avoid: higher levels of interaction between the infected and susceptible, or high levels of interaction among the asymptomatic.
Complex systems also suffer from a special vulnerability to events that don't follow a normal distribution or 'bell curve'. When events are distributed normally, most outcomes are familiar and don't seem particularly striking. Height is a good example: it's pretty unusual for a man to be over 7 feet tall; most adults are between 5 and 6 feet, and there is no known person over 9 feet tall. But in
collective settings where contagion shapes behaviour - a run on the banks, a scramble to buy toilet paper - the probability distributions for possible events are often heavy-tailed. There is a much higher probability of extreme events, such as a stock market crash or a massive surge in infections. These events are still unlikely, but they occur more frequently and are larger than would be expected under normal distributions.
What's more, once a rare but hugely significant 'tail' event takes place, this raises the probability of further tail events. We might call them second-order tail events; they include stock market gyrations after a big fall and earthquake aftershocks. The initial probability of second-order tail events is so tiny it's almost impossible to calculate - but once a first-order tail event occurs, the rules change, and the probability of a second-order tail event increases.
The dynamics of tail events are complicated by the fact that they result from cascades of other unlikely events. When COVID-19 first struck, the stock market suffered stunning losses followed by an equally stunning recovery. Some of these dynamics are potentially attributable to former sports bettors, with no sports to bet on, entering the market as speculators rather than investors. The arrival of these new players might have increased inefficiencies and allowed savvy long-term investors to gain an edge over bettors with different goals. . . .
One reason a first-order tail event can induce further tail events is that it changes the perceived costs of our actions and changes the rules that we play by. This game-change is an example of another key complex systems concept: nonstationarity. A second, canonical example of nonstationarity is adaptation, as illustrated by the arms race involved in the coevolution of hosts and parasites [in
which] each has to 'run' faster, just to keep up with the novel solutions the other one presents as they battle it out in evolutionary time.
Question 1
All of the following inferences are supported by the passage EXCEPT that:
Solution:
Main Idea of the Passage
The passage explains how collective behaviour shaped by contagion and imitation can produce unexpected and extreme outcomes. It focuses on:
- Feedback loops between individual choices and group-level effects
- The role of heavy-tailed distributions in making extreme events more likely
- How major shocks can change incentives, leading to further disruptions
- A cautious approach to explaining real-world phenomena, avoiding single-cause claims
Evaluation of the Options
Why Options A, B, and C Are Supported
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Option A is supported because the passage clearly describes a cause-and-effect process.
- In collective settings shaped by contagion, individual decisions feed back into the system
- Examples like bank runs and panic buying show how local behaviour can generate large, unintended outcomes
- The passage explicitly notes that such feedback can create collective patterns people were trying to avoid
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Option B is supported because the passage explains how a first-order tail event alters the system itself.
- Once a major shock occurs, “the rules change”
- This happens because such events change perceived costs and incentives
- As people adapt their behaviour, the probability of further large disruptions (second-order tail events) increases
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Option C is supported because the passage contrasts normal distributions with heavy-tailed distributions.
- Heavy-tailed systems have a higher probability of extreme events
- These events occur more frequently and with greater magnitude than expected under a bell curve
- This makes prediction and risk management much harder in contagion-driven group settings
Why Option D Is Not Supported
- Option D overstates causality.
- The passage discusses the COVID-era market rebound cautiously
- It says some dynamics are “potentially attributable” to former sports bettors entering markets
- This wording indicates a partial contribution, not a single or dominant cause
By presenting a one-cause explanation, option D goes beyond what the passage claims.
Final Answer
Inference NOT Supported by the Passage: Option D
Question 2
Which one of the options below best summarises the passage?
Solution:
Main Idea of the Passage
The passage explains how complex systems behave under uncertainty and contagion. It develops its argument in a clear sequence:
- Randomness (“noise”) can create order, as seen in examples like fish schools
- Systems shaped by imitation or contagion tend to produce heavy-tailed outcomes, where extreme events occur more often than a normal distribution predicts
- A single extreme event can change incentives, risk perceptions, and behaviour, making further shocks more likely
- This dynamic is captured by the idea of non-stationarity, illustrated through examples from:
- Pandemics
- Financial markets during COVID-19
- Technology-driven social systems
The passage focuses on how shocks reshape the system itself, rather than treating extreme events as isolated anomalies.
Explanation of the Correct Answer
Why Option B Is Correct
Option B best summarizes the passage because it:
- Includes the opening idea that noise can generate order
- Captures the central argument about heavy-tailed events in contagion-driven systems
- Notes that early shocks change the rules of the system through non-stationarity
- Uses the COVID-era market as an illustrative example, not as the main claim
This mirrors both the structure and the emphasis of the passage.
Why the Other Options Are Incorrect
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Option A:
- Claims that social outcomes usually follow normal distributions
- Suggests extreme events are rare
- This directly contradicts the passage’s emphasis on heavy-tailed behaviour
-
Option C:
- Over generalises the example of displaced sports bettors
- The passage only suggests they may have contributed to market dynamics
- It does not claim they always cause inefficiency or guarantee profits
- It also incorrectly treats this example as the main argument, rather than supporting evidence
-
Option D:
- Misapplies non-stationarity to evolutionary biology
- The passage uses non-stationarity in the context of:
- Markets
- Pandemics
- Technology-driven social systems
- This goes beyond the passage’s scope
Final Answer
Correct Answer: Option B
Question 3
Which one of the following observations would most strengthen the passage's claim that a first-order tail event raises the probability of further tail events in complex systems?
Solution:
Main Idea of the Passage
The passage argues that in complex systems, a rare but extreme event can fundamentally change how the system behaves. After such a shock:
- Incentives, behaviour, or constraints shift
- The system becomes nonstationary
- As a result, further extreme events become more likely
In other words, a first-order tail event can raise the probability of second-order tail events.
Explanation of the Correct Answer
Why Option C Best Supports the Claim
Option C provides direct evidence for the passage’s argument:
- A major equity crash serves as the first-order tail event
- In the weeks that follow, extreme price movements cluster densely
- These extreme outcomes occur far more frequently than under normal conditions
This clearly shows that the initial shock changes the system’s dynamics, making further extreme events more likely—exactly the mechanism described in the passage.
Why the Other Options Do Not Support the Claim
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Option A:
- States that extreme events are isolated spikes
- Says later outcomes return to baseline distributions
- This directly contradicts the passage’s claim
-
Option B:
- Describes a system where outcomes remain stable and normal
- Shows no link between one extreme event and subsequent extremes
- Therefore, it is irrelevant to the argument
-
Option D:
- Claims that activity returns to normal with no aftershocks
- Suggests events are independent
- This again goes against the idea of cascading tail events
Final Answer
Correct Answer: Option C
Question 4
The passage suggests that contact tracing apps could inadvertently raise risky interactions by altering local behaviour. Which one of the assumptions below is most necessary for that
suggestion to hold?
Solution:
Main Idea of the Passage
The passage argues that individually sensible choices can combine to produce unexpected collective outcomes. In systems shaped by interaction and contagion, people’s decisions do not remain isolated. Instead:
- Individuals respond to information and to each other
- Local changes in behaviour can cascade
- These cascades can create system-wide patterns that no one intended
For contact-tracing apps to increase risky interactions, behaviour must be interdependent, not independent.
Explanation of the Correct Answer
Why Option B Is a Necessary Assumption
Option B states that people change their movement partly based on infection information and partly in response to others’ behaviour.
- This assumption is essential because:
- The passage’s argument depends on feedback loops
- Individual actions must influence and be influenced by others
- Applying the negation test:
- If people acted independently and did not react to others
- Then local changes caused by the app would not aggregate into risky group-level outcomes
Without this assumption, the mechanism described in the passage would collapse.
Why the Other Options Are Not Necessary
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Option A:
- Talks about early app abandonment and participation bias
- Even if true, the core argument about interacting behaviours still holds
- Hence, it is not required for the reasoning
-
Option C:
- Assumes perfect, real-time accuracy of app alerts
- The passage does not rely on technological perfection
- Behavioural reactions can still produce feedback even with imperfect information
-
Option D:
- Assumes urban movement is uniform and predictable
- The passage implicitly assumes the opposite
- Uniformity would weaken the argument rather than support it
