These questions are based on the following information. A cube of 7cm × 7cm × 7cm is kept in the corner of a room and painted in three different colours, each face in one colour. The cube is cut into 343 smaller but identical cubes.

India is poised for rapid economic growth, potentially spurred by a young population driving production and demand. In the process, inevitably, lifestyles are being dramatically altered for the worse. India now reports the highest growth of ultra-processed food consumption among the youth, as well as low levels of exercise and adequate sleep. Cultural changes, including smartphones and a preponderance of English in schools, are also associated with weakened family relationships. Until recently, in the absence of extensive data, the role of these factors on mental well-being, encompassing our full range of mental capability, was not well understood. Recent findings based on a large database of over 1,50,000 individuals in India are beginning to shed light on the correlates of mental well-being among adolescents. The findings are dire. There is a silent epidemic of mental ill-health in India. Previous studies have found that ownership of smartphones is” frying” the brain. Data also suggests that it is not merely the ownership of a phone but also the early age of access that is associated with worse cognition and mental well-being as young adults. The young brain is developing and must be nurtured. These gadgets are handed to adolescents, presumably more out of convenience than sound logic. The American philosopher David Henry Thoreau remarked over 175 years ago,” Technology is an improved means to an unimproved end.” This is an extreme position but one worth mulling. India reports the highest growth in consumption of ultra-processed foods. Some evidence suggests that these foods are as addictive as smoking. Recent data globally and from India shows a strong association between the consumption of ultra-processed foods and poor mental well-being, particularly the capacities for emotional and cognitive control.

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While a majority of homeless groups exist solely in modernized cultures, homelessness remains a problem throughout the world. Everywhere there are people in constant search of food, water, and shelter. Many of these people have nowhere to go and can find no end or relief to their suffering. Homelessness was originally believed to be a cultural problem but is now revealing itself as a global problem. It is a problem suffered by all of humanity and must be faced and solved as such. Although this problem exists everywhere, it is more severe in certain parts of the world. Due to the differing circumstances of homelessness around the world, there can be no one solution or one set of guidelines for everyone to follow.
Even the United States constantly struggles with homelessness, despite being one of the wealthiest countries in the world. According to a 2005 survey by the United Nations, 1.6 billion people lack adequate housing. The causes vary depending on the place and person. Common reasons include a lack of affordable housing, poverty, a lack of mental health services, and more. Homelessness is rooted in systemic failures that fail to protect those who are most vulnerable. Approximately 580,000 people experience homelessness on any given night in the United States, as stated by the Housing and Urban Development (HUD) Department. The number of individuals experiencing homelessness varies by region, with urban areas experiencing higher rates of homelessness compared to rural areas. The COVID-19 pandemic has exacerbated homelessness and housing insecurity, leading to increased rates of eviction, unemployment, and housing instability. Using social distancing measures to curb the virus’s transmission has presented difficulties for homeless shelters and service providers in main training their capacity. The economic fallout from the pandemic has further strained resources and support systems for individuals and families experiencing homelessness.

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Being a consultant, your work consists of a deep examination of the company’s environment and its internal system to notice inefficiencies and potential improvements. The interaction with the company’s management and different sections to decipher their objectives, opportunities, and processes. This means that, through the use of data analysis, industry best practices, and the formulation of creative ways of solving all problems, to come up with unique solutions to all problems to increase efficiency and productivity, and hence, increase profitability for employers. This might entail operations such as logistics redesign, business process re-engineering, adopting new applications, systems, or even community relation programs. People management is a critical component of change management, to make sure that all the relevant parties interpret the potential alterations positively. Also, to offer orientation and create resources to explain the changes to the group and make it comfortable with the shift. The general goal is the organization’s ability to continue to grow and remain relevant with the shareholders and stakeholders in the industries it operates

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In a world where aspirations for upward mobility are fervent, the opportunities for achieving such dreams remain limited. When one generation falls short, the mantle of ambition passes to the next, embedding within it a heavy burden of responsibility. Failing to meet these expectations can lead to profound sorrow, and in the direst cases, even to suicide. It’s in this landscape that coaching institutes assume a significant role, cultivating an atmosphere of uncertainty among students and parents. A stark discrepancy emerges between preparation for board examinations and competitive tests, amplifying the inequalities that plague the education system. The coaching industry’s massive marketing campaigns further exacerbate the situation, with some strategies veering into ethical grey areas. The tests themselves, designed to be more challenging than standardised exams, set the stage for feelings of inadequacy and self-doubt when not conquered. Our educational system is tailored to gauge an individual’s merit through examinations. Eminent thinker Michael J Sandel dubs this system the “tyranny of merit”, a sentiment echoed by the Supreme Court of India. Upholding the OBC reservation judgment, the Court called for a deeper evaluation of the “idea of merit”, highlighting its nuanced nature. Merit as a concept remains shrouded in misunderstanding and often goes unexamined within school curriculum. Adapting to new living arrangements, sourcing nourishing meals, battling isolation, and grappling with commutes form the backdrop against, which education unfolds. For marginalised communities and gender minorities, these hurdles are often amplified. Social media algorithms exacerbate mental health concerns, sowing loneliness and impeding attention spans and creativity. Technology emerges as a potential equaliser in this landscape. Online platforms now offer preparation opportunities from the comfort of one’s home. Government-curated or market-driven content could usher in a new era of accessibility.

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Imagine you have just been appointed as a consultant for a manufacturing company that is experiencing a decline in its production efficiency. The company produces a wide range of products, and the management is concerned about the overall output. Your task is to identify the root causes of this decline and recommend solutions.
As you begin your investigation, you gather information and observe the following:
• The company recently introduced a new production system that is more automated but requires highly specialized operators.
• The workforce has reported a lack of motivation and job satisfaction, which has led to increased absenteeism.
• There have been several breakdowns in the new machinery, leading to production delays and quality issues.
• The company’s competitors have adopted similar automation technologies and are experiencing increased productivity.
• Customer complaints about product quality have increased in recent months.

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How many smaller cubes do not have any face painted?

The Correct Option is D

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How many smaller cubes have exactly one colour on them?

The Correct Option is A

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How many smaller cubes have at the most two faces painted?

The Correct Option is B

Solution and Explanation

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