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Question

Consider the given statements and decide which of the given assumptions is/are implicit in the statement.

Statement:

To expand their business, a budding company now requires more staff.

Assumptions:

I: The current staff is incompetent.

II: Business can only be expanded by always hiring new staff.

The correct answer is Neither assumption I nor II is implicit.

Analyzing Implicit Assumptions in Statements

Understanding implicit assumptions is crucial in logical reasoning. An implicit assumption is an unstated belief or premise that must be true for the statement to hold. We need to carefully read the given statement and the proposed assumptions to determine if they are necessary for the statement to be valid.

Understanding the Statement

The statement given is: "To expand their business, a budding company now requires more staff."

Let's break down the key parts of the statement:

  • Goal: Expand their business.
  • Subject: A budding company (implying it is growing or new).
  • Action/Requirement: Now requires more staff.

The statement connects the goal of business expansion with the requirement of needing more staff at the current time for this particular company.

Analyzing Assumption I: The current staff is incompetent

Assumption I states: "The current staff is incompetent."

Let's consider if this assumption is implicit in the statement. The statement says the company needs *more* staff to *expand*. It does not provide any information about the performance or competence level of the *existing* staff. The need for additional staff is linked to growth and increased workload due to expansion, not necessarily due to the failure or incompetence of the current employees.

For example, a successful business might need more staff because the volume of work has increased significantly due to expansion, even if the current staff is highly competent and working efficiently. Therefore, the statement does not imply that the current staff is incompetent.

Conclusion for Assumption I: Assumption I is not implicit in the statement.

Analyzing Assumption II: Business can only be expanded by always hiring new staff

Assumption II states: "Business can only be expanded by always hiring new staff."

Let's consider if this assumption is implicit. The statement describes *this specific company's* current situation: it requires more staff *now* to expand. It speaks only about the method being used or needed by this particular company at this point in time.

The statement does not make a general claim about how *all* businesses *always* expand. Business expansion can be achieved through various means, such as increasing efficiency with existing staff, improving technology, restructuring, or outsourcing, in addition to hiring new staff. The statement only says that hiring more staff is the chosen or necessary method *for this company now*. It does not suggest that it is the *only* possible method for business expansion in general or even the only future method for this company.

Conclusion for Assumption II: Assumption II is not implicit in the statement.

Conclusion on Implicit Assumptions

Based on the analysis of both assumptions against the given statement, we find that neither Assumption I nor Assumption II is a necessary underlying belief for the statement "To expand their business, a budding company now requires more staff" to be true. The need for more staff is presented as a consequence of expansion for this company, not a judgment on existing staff or a universal rule about business growth.

Therefore, neither assumption I nor assumption II is implicit.

Revision Table: Analyzing Assumptions

Assumption Analysis Is it Implicit?
I: Current staff is incompetent Statement links need for staff to expansion, not staff performance. No
II: Business expansion always requires hiring Statement describes this company's current need, not a general rule for all expansions. No

Additional Information: Understanding Assumptions in Logic

In logical reasoning and critical thinking, identifying assumptions is vital. An assumption is something taken for granted or accepted as true without proof.

  • Explicit Statement: Clearly stated information.
  • Implicit Assumption: Information that is not stated but must be true for the explicit statement to be valid.
  • How to Identify Implicit Assumptions: Ask yourself: What must be true for the statement to make sense or be justified? If the assumption is false, does the statement fall apart?

It is important not to bring outside knowledge or make leaps in logic. The implicit assumption must directly support the given statement and be necessary for it. Assumptions that are too strong, too general, or introduce new concepts not linked to the statement are typically not implicit.

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Important Questions from Statements and Assumptions

  1. Direction: A statement is given followed by two conclusions numbered I and II. Assuming that the given statement is true even if it seems to be at variance from commonly known facts, decide which of the given conclusions logically follow(s) from the given statement.

    Statement:

    In a football match between Team-X and Team-Y, the total number of goals scored by Team-Y was 5, out of which 3 goals were scored by the left footed player.

    Assumption:

    I. The left-footed player was adept at scoring goals.

    II. 60% of the players in Team Y are left footed.

  2. Consider the given statement and decide which of the given assumptions is implicit in the statement.

    statement:

    P advised Q, "Go to Mumbai via Jaipur ____ the shortest route"

    Assumptions: I.  P advises everybody.

    II. Q wishes to go to Mumbai.

  3. Read the given statement and assumptions carefully. Assuming that the information given in the statement is true, even if it appears to be at variance with commonly known facts, decide which of the given assumptions logically follow(s) from the statement.

    Statement:

    During exams, invigilators are not supposed to use mobile phones in the examination hall.

    Assumptions:

    I. Mobile disturbs students during examination.

    II. Keeping mobiles switched off helps to improve their vigilance.

  4. Read the given statement and conclusions carefully and decide which of the assumptions is implicit in the statement.

    Statement:

    "SAVE MONEY - BUY 1 GET 3" — Advertisement by a commercial brand.

    Assumptions:

    1. Brand sales increased profusely after the offer.

    2. People are more attracted to buy if they are offered more than what they are already paying.

  5. Consider the given statement and decide which of the given assumptions is/are implicit in the statement.

    Statement: Many farmers are taking up organic farming.

    Assumptions:

    I. Organic farming is easy to practice.

    II. Organic farming is more beneficial to farmers.

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