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Question

In this question, a statement is given followed by two conclusions numbered i and ii. You have to assume everything in the statement to be true, then consider the two conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statement. 

Statement:

 Every Saturday is a holiday.

 Today is a holiday.

 Conclusion:

 i. Today is Saturday. 

ii. Today is not a Saturday.

 Choose the appropriate one from the following options

(A) Only conclusion i follows

(B) Only conclusion ii follows

(C) Either i or ii follows

(D) Neither i nor ii follows and

(E) Both i and ii follow.

The correct answer is

C

Statement and Conclusion Analysis

This question requires determining which conclusions logically follow from a given statement and fact.

Statement Breakdown

  • "Every Saturday is a holiday.": This establishes that the set of Saturdays is entirely contained within the set of holidays. (Saturday → Holiday)
  • "Today is a holiday.": This confirms that the current day is an element of the set of holidays.

Evaluating Conclusions

The conclusions to be assessed are:

  • Conclusion i: "Today is Saturday."
  • Conclusion ii: "Today is not a Saturday."

Logical Deduction for "Either/Or"

When "Today is a holiday," two possibilities arise concerning its relation to Saturday:

  • Possibility A: Today is a Saturday. This scenario aligns perfectly with the statement "Every Saturday is a holiday." If this possibility is true, then Conclusion i ("Today is Saturday") is valid.
  • Possibility B: Today is not a Saturday. This scenario is also valid because the initial statement does not preclude other days besides Saturday from being holidays. If this possibility is true, then Conclusion ii ("Today is not a Saturday") is valid.

Since "Today is a holiday" necessitates that it must fall into either Possibility A (it's a Saturday holiday) or Possibility B (it's a non-Saturday holiday), and these two possibilities are mutually exclusive, it follows that one of the two conclusions must be true. We cannot determine which specific conclusion holds, but we know one of them does.

Final Answer Selection

Based on this reasoning, Either conclusion i or ii follows.

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Important Questions from Statement and Conclusion (Notes)

  1. In the following question, a statement followed by 2 conclusions is given.
    Choose right conclusion which logically follows the given statement.
    Statement : Morning walks are good for health.
    Conclusions : I. All healthy people go for morning walk.
    II. Evening walks are harmful.
  2. If there is rainfall in a village, flowers will bloom. If flowers bloom, celebrations will definitely take place. Flowers did not bloom. Which of the following is certain?
  3. Study the following question carefully and choose the right answer
    Statement: Should articles of only deserving authors be allowed to be published?
    Arguments:
    (I) No, it is not possible to draw a line between the deserving and the undeserving.
    (II) Yes, it will save a lot of paper which is already in short supply.
    In light of the above statements, choose the most appropriate answer from the options given below.
  4. Statements: Morning walks are good for health.
    Conclusions: I: All healthy people go for morning walks.
    II: Evening walks are harmful.
    Choose the correct option :
  5. Given below are two statements related to evaluation system.
    Statement (I)Formative evaluation is administered during the lesson taught or instruction imported
    Statemet (II)Summative evaluation summarizes the final progress of the students as a result of a course of learning unit.
    Select the correct option
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