Directions (84-86) : In the following questions assuming the given statement to be true, find which of the conclusion(s) among the given conclusions is/are definitely true and then give your answers accordingly.
Statement.
873 > 532 < 462 = 943, 532 ≥ 471 = 341
Conclusions.
I. 462 > 471
II. 341 < 873
Correct Answer :
Both conclusions I and II are true
Solution :
The correct option is Both conclusions I and II are true.
Step-by-step Explanation:
Let us analyze the given statements and connect the variables/numbers to evaluate the conclusions.
Given Statements:
1.
2.
Evaluating Conclusion I:
From the first statement, we know that (or ).
From the second statement, we know that .
Combining these, we get:
Since is strictly greater than and is greater than or equal to , it follows directly that .
Therefore, Conclusion I is definitely true.
Evaluating Conclusion II:
From the first statement, we have (which means ).
From the second statement, we have , which gives (or ).
Combining these relations:
Since is less than or equal to and is strictly less than , it logically follows that .
Therefore, Conclusion II is definitely true.
Since both Conclusion I and Conclusion II are definitely true, the correct answer is Both conclusions I and II are true.
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