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Question

Direction: In the questions below, there is a statement followed by two assumptions I and II. Consider the statement and given assumptions, and decide which of them is implicit in the given statement, Choose the correct answer from the given alternatives.

Statement: In one-day cricket match, the total runs scored by a team were 200, out of which 150 were made by spinners.

Assumption I:

The team had 75% spinners.

Assumption II:

Fast bowlers outperformed the spinners.

The correct answer is

Neither assumption is strong

This question asks us to analyze a given statement about a cricket match and determine which of the subsequent assumptions is implicit in the statement. An implicit assumption is something that is not directly stated but is understood or suggested by the statement.

Understanding the Statement and Assumptions

The statement provides specific information about a one-day cricket match:

  • Total runs scored by the team: 200
  • Runs made by spinners: 150

We are given two assumptions to evaluate:

  1. The team had 75% spinners.
  2. Fast bowlers outperformed the spinners.

Analyzing Assumption I: Percentage of Spinners

Assumption I states, "The team had 75% spinners."

  • The statement tells us about the runs scored by spinners (150 out of 200 total runs).
  • It does not provide any information about the composition of the team, specifically the number or percentage of players who are spinners.
  • The fact that spinners scored 75% of the runs (150/200 = 0.75 or 75%) does not automatically mean that 75% of the players were spinners. A small number of highly effective spinners could score a large percentage of the runs, or a large number of spinners could score fewer runs individually.
  • Therefore, we cannot conclude anything about the percentage of spinners in the team based solely on the runs they scored.

Assumption I is not implicit in the statement.

Analyzing Assumption II: Fast Bowlers Outperforming Spinners

Assumption II states, "Fast bowlers outperformed the spinners."

  • The statement says spinners scored 150 runs.
  • The remaining runs were scored by other players, which would include fast bowlers, batsmen, and possibly other types of bowlers who are not spinners.
  • The total runs are 200, and spinners scored 150. So, the runs scored by all non-spinners combined is \(200 - 150 = 50\).
  • The runs scored by spinners (150) are significantly higher than the runs scored by all non-spinners combined (50).
  • The assumption claims fast bowlers "outperformed" spinners, implying fast bowlers scored more runs than spinners.
  • However, the statement shows the opposite: spinners scored far more runs (150) than the combined score of all non-spinners (50).

Assumption II is contradicted by the information given in the statement. Therefore, it is not implicit.

Conclusion on Implicit Assumptions

Based on the analysis:

  • Assumption I cannot be inferred from the statement as the statement only provides information about runs, not team composition.
  • Assumption II is contradicted by the statement, which shows spinners scored more runs than the non-spinners combined.

Neither of the assumptions is implicit in the given statement. We must only consider what is directly stated or logically follows from the statement, without bringing in outside knowledge or making unwarranted connections.

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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. 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.

  5. 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.

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