Directions- In these questions- relationship between different elements is shown in the statements- These statements are followed by two conclusions- Statements- F - O - L - W - SConclusions-I- O - SII- L - FA- If Only Conclusion I is trueB- If Either Conclusion I or II is trueC- If Only Conclusion II is trueD- If Both Conclusions I and II are trueE- If Neither Conclusion I nor II is true

The correct option is D If Both Conclusions I and II are true∵ F gt; O = L ≤ W = S Conclusion: I. O ≤ S From statement, (O = L ≤ W = S) ⇒ O ≤ W = S ⇒ O ≤ W ...

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Byju's Answer

Standard XII

Mathematics

Bijective Function

Directions: I...

Question

Directions: In these questions, relationship between different elements is shown in the statements. These statements are followed by two conclusions.
Statements: $F > O = L \leq W = S$
Conclusions:
I. $O \leq S$
II. $L < F$

If Only Conclusion I is true

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If Only Conclusion II is true

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If Either Conclusion I or II is true

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If Neither Conclusion I nor II is true

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If Both Conclusions I and II are true

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Solution

The correct option is E If Both Conclusions I and II are true
$∵$ $F > O = L \leq W = S$
Conclusion:
I. $O \leq S$
From statement, $(O = L \leq W = S)$
$\Rightarrow O \leq W = S$
$\Rightarrow O \leq W$
Conclusion: II. $L < F$
From statement, $F > O = L$
$\Rightarrow F > L$
$\Rightarrow L < F$

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Directions: In these questions, relationship between different elements is shown in the statements. These statements are followed by two conclusions. Statements: F>O=L≤W=S Conclusions: I. O≤S II. L<F

The correct option is E If Both Conclusions I and II are true∵ F>O=L≤W=S Conclusion: I. O≤S From statement, (O=L≤W=S) ⇒O≤W=S ⇒O≤W Conclusion: II. L<F From statement, F>O=L ⇒F>L ⇒L<F

Directions: In these questions, relationship between different elements is shown in the statements. These statements are followed by two conclusions.
Statements: $F > O = L \leq W = S$
Conclusions:
I. $O \leq S$
II. $L < F$

The correct option is E If Both Conclusions I and II are true
$∵$ $F > O = L \leq W = S$
Conclusion:
I. $O \leq S$
From statement, $(O = L \leq W = S)$
$\Rightarrow O \leq W = S$
$\Rightarrow O \leq W$
Conclusion: II. $L < F$
From statement, $F > O = L$
$\Rightarrow F > L$
$\Rightarrow L < F$