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IIM Bangalore UG 13th Dec 2025

For the following questions answer them individually

Choose the appropriate idiom that is closest to the underlined segment in the following.
Do something on impulse, without prior deliberation.

Read the following passage and answer the questions that follow.

In an epoch intoxicated by its own technological omnipotence, humanity has transformed health into a quantifiable pursuit - fitness metrics, calorie counters, heart-rate monitors, and serotonin graphs. The ancient art of healing has been supplanted by the commerce of treatment; hospitals resemble corporations, and the physician, once a custodian of empathy, now negotiates uneasily between profit and protocol. Longevity has become the new paradigm. In chasing endless life, we seem to have forgotten how to live.

Dr. Ira Sen, an eminent neuroscientist renowned for her pioneering work on cognitive architecture, abandoned her illustrious career after discerning a paradox science could not address — that despair has no neural coordinates and health and wellness cannot be manufactured through chemistry or machine learning. She withdrew to a secluded Himalayan valley where medicine was whispered through silence, ritual, and communion with the natural world. There she discovered that recovery was not an act of conquest but of reconciliation — a restoration of resonance between the self and its environment.

Years later, as societies convulsed under an epidemic of psychic exhaustion — a collective weariness untouched by pharmacology — governments began legislating tranquility, prescribing mindfulness as if serenity could be decreed by law. The irony was tragic: compassion turned into a compliance form, and empathy became a performance metric on corporate dashboards.

In her final treatise, The Anatomy of Wholeness, Dr. Sen argued that civilization’s deepest pathology was ideological — the delusion that health could exist apart from harmony. Her words, dismissed once as metaphysical indulgence, later ignited a quiet revolution in medical ethics.

Select the option that can be most logically inferred from the passage.

Select the real-life situation that best reflects the concerns raised in the passage.

Which of the following best captures the central theme of the passage?

Select the option that most accurately summarises the passage.

The passage below is accompanied by four questions. Based on the passage, choose the best answer for each question.

Vision impairment continues to disproportionately affect women and girls, revealing a persistent and deeply entrenched gender disparity in global health outcomes. Preventing avoidable blindness is therefore not merely a medical imperative but a crucial socio-developmental strategy that contributes directly to the reduction of gender inequalities and the broader attainment of the Sustainable Development Goals.

Current global estimates indicate that more than half of all blind adults are women, while a significant majority of blind children are girls. This imbalance is often rooted in traditional gender roles that expose women to greater health risks. Activities such as cleaning, caregiving and the collection of water frequently situate women in environments where they encounter vision-impairing pathogens. Additionally, these responsibilities severely restrict their time and mobility, resulting in delayed or entirely neglected eye health interventions.

Vision loss among women tends to intensify existing social inequities. It can curtail access to education, diminish employment prospects, and, in some contexts, lead to social marginalisation. Such circumstances increase women’s dependence on male relatives and substantially reduce their autonomy and decision-making power within the household and the community. Conversely, improved eye health has a demonstrable ripple effect. When women are enabled to make informed choices about their own health, they positively influence the well-being of their families and contribute to enhanced community resilience.

In many regions, community health workers trained by Operation Eyesight’s partner institutions are women. Their participation in these roles positions them as trusted community leaders and agents of transformative change. Employment in health services not only strengthens their economic independence but also elevates their status within their families, promoting greater socioeconomic stability.

Operation Eyesight continues to pursue gender transformative strategies by engaging directly with communities to identify barriers faced by women, expanding training opportunities and fostering a more inclusive health workforce. This approach ensures that even the most vulnerable populations receive equitable access to essential eye care services.

Which statement best captures the central theme of the passage?

What is a consequence of women being engaged as community health workers?

Which statement, if true, would weaken the passage’s claims on gender imbalance in eye care the most?

Which factor most strongly contributes to women’s greater exposure to vision-impairing risks?

For the following questions answer them individually

From the options given below, identify the pair of adjectives in the following statement.
In the mellifluous, iridescent dusk, she moved deliberately and resolutely, allowing her equanimity and fortitude to guide her choices, as uncertainty gathered around her in the evening light.

Complete the following sentence using the most appropriate words in all four blanks.
A discerning scholar presents a _______ argument supported by _______ evidence and maintains a/an _______ tone even when confronted with conflicting viewpoints during rigorous academic discussions and peer evaluations.

Examine the following statement:
Despite the mounting criticism, the minister remained unfazed, addressing the press with calm assurance and a steady voice.
Choose the option that best uses the underlined word in a context similar to how it is used in the statement.

The following sentences are in jumbled order. Arrange them in the most logical sequence to form a meaningful paragraph.
A.The concern for the integration of different parts of people’s lives, such as work and personal life is not new.
B.Nowadays the proactive promotion of the work life balance by organizations has become more important than ever because new generations arriving at work demand that work environment should be fluid and flexible.
C.In this respect, organizational practices such as child care services, extended and flexible parental leave schemes among others, may increase balance between work and personal life.
D.As Lewis et al. argued, in the 60s the focus mainly was on working-mothers, but from the 80s the work-life conflict and its relationship with stress and burnout already generated concern and research.

Five statements are given below, four of which follow a common thread.

1) With the rise of AI-driven diagnostic tools, doctors are now able to detect diseases with higher accuracy at much earlier stages.
2) Advances in quantum computing promise to revolutionise data encryption and decryption methods across industries.
3) Machine learning algorithms have already begun assisting in the interpretation of complex medical imaging results.
4) The integration of artificial intelligence in healthcare is significantly transforming patient care and medical research.
5) Predictive analytics based on large datasets enables physicians to anticipate potential complications and personalise treatment plans.

Identify the statement that does not follow the common thread.

Select an option to complete the given sentence.
_______ had the researchers completed their preliminary trials, ________ fresh complications emerged that altered the entire direction of the study.

The question below is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and choose the appropriate answer.

A, B, C, D, E and F are sitting around a circular table, facing the centre. How many people sit between C and E when counted from the left of C?

Statements:
(I) A sits third to the right of E. B sits to the immediate right of E. C and F are immediate neighbours.
(II) D sits to the immediate right of B. Only two people sit between B and F. C sits second to the right of A.

Based on the English alphabetical order, three of the following four are alike in a certain way and thus form a group. Which one does not belong to the group?

Read the given statements and conclusions. Take the given statements to be true even if they seem to be at variance from commonly known facts. Decide which conclusion(s) logically follow from the statements given below:

Statements: Some papers are curtains. No radio is a curtain. All jugs are papers.

Conclusion I: All jugs are curtains.
Conclusion II: Some papers are jugs.
Conclusion III: No radio is a jug.

Two sets of four numbers are given below. In each set of four numbers, a certain mathematical operation on the first number results in the second number. Similarly, a certain mathematical operation on the second number results in the third number and so on.
Which of the options given below follow the same set of mathematical operations?

29 - 841 - 752 - 784
31 - 961 - 872 - 904

Anju starts from Lucknow and drives 18 km towards west. She then takes a right turn, drives 14 km, turns right again and drives 9 km. She takes a final right turn, drives 2 km and stops at Point F. What is the shortest distance between Point F and Lucknow?

In the following triads, each group of letters is related to the subsequent one following a certain logic. From the given options, select the one which follows the same logic.

FROM - RMFO - OFMR
CLAY - LYCA - ACYL

In a certain code language,

A + B means ‘A is the mother of B’
A - B means ‘A is the son of B’
A x B means ‘A is the daughter of B’
A ÷ B means ‘A is the brother of B’

Based on the above, how is P related to T if ‘P - Q ÷ R x S + T’ holds?

Ten people are sitting in two parallel rows containing 5 people each in such a way that there is equal distance between adjacent persons.
In row 1 - A, B, C, D and E are seated and all of them are facing south.
In row 2 - P, Q, R, S and T are seated and all of them are facing north.
Thus each person faces another person from the other row.
C sits at an extreme end of the row. Only two people sit between B and C. The person facing B sits to the immediate left of Q. Only one person sits between Q and P. A faces P. A sits to the immediate left of the person facing S. E sits second to the right of the person facing T.
Who faces B?

Each of P, Q, R, S, T, U and V has an exam on a different day of a week starting from Monday and ending on Sunday of the same week.
U has an exam on Thursday. Only one person has exam between P and U. T has an exam immediately after P. As many people have an exam before T as after S. Q has an exam immediately after V but not on Sunday.
How many people have an exam between R and V?

Given below is a statement followed by four possible reasons numbered I and IV. Which of the four can explain the statement:

A major metropolitan city witnessed a significant drop in the number of people using public transport, despite the expansion of bus routes and services.

(I) The bus fares remained unchanged despite reduction in fuel prices
(II) The GST on two-wheelers and four-wheelers was reduced by the government.
(III) Entry of private vehicles into central business hubs was banned during rush hours.
(IV) Number of accidents involving public transport vehicles increased.

In a certain code where all codes are two lettered,

‘marketing and sales strategy’ is coded as ‘zu li na ko’
‘strategy for sales meet’ is coded as ‘dc zu sr li’
‘meet and greet today’ is coded as ‘gq ko pe dc’

Following the same logic, what is the code for ‘strategy and marketing meet’?

A, B, C, D, E, F and G each scored a different marks in an exam and all marks were integers. Only three people scored more than F. Only G scored less than B. More than three people scored between G and D. C scored less than E and no one scored between C and E. If E scored 90, F scored 84 and the second lowest score was 71, which of the following may be the possible score of A?

Which of the following letter-number clusters will replace the question mark (?) in the given series to make it logically complete?
YTQ12 BWT14 EZW31 HCZ97 ?

The statement below is followed by two courses of actions, numbered I and II. Assume everything in the statement to be true.

Statement - A well-known food delivery company has received multiple complaints about late deliveries and poor food quality in the last quarter.
I. The company should review the food options of its partner restaurants.
II. The company should cap the number of orders each delivery person can take at peak hours.

Which course(s) of action logically follow on the basis of the information given in the statement.

Two rectangles are drawn on line segments of fixed widths. When the heights are 7 m and 8 m respectively, their areas sum up to 156 $$m^{2}$$. But if these heights are 5 m and 7 m respectively, then their areas sum up to 123 $$m^{2}$$. Find the sum of the areas of the squares (in $$m^{2}$$) drawn on the line segments.

Let b and c be two real numbers such that the numbers 3, b, c are in geometric progression. For the matrix 

$$A = \begin{bmatrix}1 & 1 & 1 \\3 & b & c \\9 & b^{2} & c^{2} \end{bmatrix}$$, if $$\text{det}\mid A \mid = 162$$, then the value of c is

The proportions of gold in three alloys are 40%, 50% and 80% respectively. These alloys are mixed in certain proportions to obtain 30 kg of a new alloy, which has 55% gold. If the amount of the first alloy is 9 kg, what is the amount in kg of the third alloy used?

A sportsperson could be an expert in badminton and / or squash. Given that someone is a squash expert, the probability that they are expert at badminton as well is 0.8. There are twice as many badminton experts as there are squash experts. Given that Saina is a badminton expert, what is the likelihood that she is an expert in squash?

Two positive integers m and n satisfy HCF (m, n) = 14 and LCM (m, n) = 168. If m < n and m divides 84, what is the maximum possible value of m?

The following graph shows the annual tourist arrivals (in thousands), both foreign and domestic, across five tourist regions (A to E) from 2010 to 2012.

Screenshot_1

Based on this graph, answer the questions.

In 2012, if 10% of visitors in Region E were foreign tourists, then how many domestic tourists (in thousands) visited Region E in that year?

Foreign visitors to Region B form 15%, 20% and 25% of the tourist visits during 2010, 2011 and 2012 respectively. Assume that each foreign tourist spends ₹ 7,000, while each domestic tourist spends ₹ 3,000. What is the total revenue (in ₹ crores) from tourist spends during 2010-2012?

In 2010, the total spending per tourist in Region E was ₹6,000, and it increased by 10% in each successive year, while arrivals decreased as per the graph. What was the total spending (in ₹ crore) from Region E across 2010-2012?

For the following questions answer them individually

Let $$A = \left\{a_{1}, a_{2}, ...a_{i}, ... \right\}$$ be an arithmetic progression, and let $$B = \left\{b_{1}, b_{2}, ...b_{i}, ... \right\}$$ be a geometric progression.
The commom difference for A is 2.
The commom ratio for B is 0.2 and b_{1} = 0.8
The infinite sum of the products $$a_{i}b_{i}$$ is 1, where i = 1, 2, 3, ....
What is $$a_{1}$$?

Which of the following functions is a one-to-one and onto function from real numbers to real numbers (R to R).

Let A, B and C be the three mutually independent events with their probabilities equal to x, y and z respectively. Then the probability that exactly two of these events occur is

25000 blood donors were registered with Red Cross in a city. The number of donors increased at the rate of 10% every 6 months. Find the total time (in years) at the end of which the total number of blood donors becomes 33275.

In Saroja's sari shop, the marked price of each sari is x% above the cost of its procurement. She sells each sari after a discount of 25%. In addition, if someone buys a dozen saris, she offers an extra sari for free, and still makes a profit of 8% over their cost of procurement. If Saroja had sold the saris without discounting, but with the offer of an extra saree for every dozen sold, then her profit percentage would have been:

The state of Panchagarh has 5 cities, whose population contributions are shown in the pie chart below

Screenshot_2

The bar graph below shows the percentage of males in each city of Panchagarh in 2016. These percentages do not chnage over time

Screenshot_3

Assume the population of Panchagarh in 2016 is 450000. Then the combined non-male population of cities P, Q and T is approximately what percent more/less than the combined male populations of cities R, S and T?

Assume the population of Panchagarh in 2016 was 1.5 lakh. In 2017, the population of city P increased by 15%, while that of city S increased by 20%. What is the ratio of the male population of city P to that of city S in 2017?

Assume the total population of Panchagarh state in 2016 is 350000. Then find the average female population of cities P, Q, and S in 2016.

Assume the population of city R was 96000 in 2016. Then, in percentage terms, by how much was it more than the male population of city T?

For the following questions answer them individually

A bag consists of tokens whose labels are selected from all of the first all of the first n even natural numbers. The frequency of each label equals hals the label itself. Then the variance of all the labels the bag is

You are given three positive numbers such that
i) A is the sum of the first two numbers.
ii) B is the sum of the first two numbers taken away from the third number.
iii) C is the sum of all these numbers.
iv)$$\dfrac{A}{B} = \dfrac{B}{C}$$
Select the correct option from below:

The roots of the equation $$\sqrt{2}x^{2} - \frac{3}{\sqrt{2}}x + c = 0$$ are p and 2p.
Let a > 0, and one root of equation $$a^{2}x^{2} + 12a - 7 = 0$$ is $$64\left(p^{6}+c^{12}\right)$$.
What is the value of a ?

If $$2y + z > 0$$, $$2z > y$$, and $$z < 3$$, find the range of possible values of $$(y + z)$$.

Alice can complete a certain work in 24 days. Bob is twice as efficient as Alice. Both of them worked together for x days and stopped. The remaining work was completed by Carol working alone for (x+1) days. If Carol is 25 % less efficient than Bob, then the total number of days it took to complete the whole work was

Let $$A = \begin{bmatrix}x & 1 \\0 & 1 \end{bmatrix}$$ where $$x$$ is a real number, and $$B = \begin{bmatrix}2\sqrt{2} & 3+ \sqrt{2} \\0 & 1 \end{bmatrix}$$. If $$A^{3} = B$$, then $$x$$ is equal to

Let $$f : \left(0, \frac{6}{5}\right) \rightarrow R$$ & $$g : \left(0, \frac{6}{5}\right) \rightarrow R$$ be functions defined by $$f\left(x\right) = \left[x^{2}\right] \text{and} g\left(x\right) = \left(|x-1| + |x-2|\right)f\left(x\right)$$ Here $$[a] = \text{the highest integer} \leq a$$. Then

Let $$h\left(x\right) = \text{min}\left\{|\sin x|, | \cos x|\right\}$$, for all real numbers $$x$$. Let S be the set of points in $$\left(0, \frac{\pi}{2}\right)$$ where $$h(x)$$ is not differentiable. Then the cardinality of S is:

Let A, B and C be three sets. Then $$A \cup B - C$$ is not equal to

Let $$f : \mathbb{R} \to \mathbb{R}$$ be a function such that

$$f'(x) = (x - 2024)^3 (x - 2025)(x - 2026)^2$$ for all $$x \in \mathbb{R}$$.

Let $$g : \mathbb{R} \to (0, \infty)$$ be a function such that $$g(x) = \sqrt{f(x)}$$ for all $$x \in \mathbb{R}$$.

Then the number of points at which $$g(x)$$ has a local maximum is:

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