In the following question assuming the given statements to be true, find which of the conclusion among given conclusions is/are definitely true and then give your answers accordingly. Statements : B ≤ I; E = D; H > F; C ≤ H; I = D; A ≤ B; H < E Conclusions: (i) I > F (ii) B ≤ H (iii) A ≤ E (iv) E > FChoices:- Only (i) and (ii) are true Only (i), (iii) and (iv) are true Only (iii) is true Only (i) and (iii) are true
Question
In the following question assuming the given statements to be true, find which of the conclusion among given conclusions is/are definitely true and then give your answers accordingly. Statements : B ≤ I; E = D; H > F; C ≤ H; I = D; A ≤ B; H < E Conclusions: (i) I > F (ii) B ≤ H (iii) A ≤ E (iv) E > FChoices:- Only (i) and (ii) are true Only (i), (iii) and (iv) are true Only (iii) is true Only (i) and (iii) are true
Solution
To solve this problem, we need to create a chain of inequalities based on the given statements.
From the statements, we can derive the following chain:
A ≤ B ≤ I = D = E > H > F and C ≤ H
Now, let's check each conclusion:
(i) I > F: This is true because I = D = E and E > H > F.
(ii) B ≤ H: This is false because B ≤ I = D = E and E > H.
(iii) A ≤ E: This is true because A ≤ B ≤ I = D = E.
(iv) E > F: This is true because E = D = I and I > H > F.
So, the conclusions (i), (iii), and (iv) are true. Therefore, the correct answer is "Only (i), (iii) and (iv) are true".
Similar Questions
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