Question Details

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

Options

A

Only conclusion I is true

B

Only conclusion II is true

C

Either conclusion I or II is true

D

Neither conclusion I nor II is true

E

Both conclusions I and II are true

Show Answer

Correct Answer :

Option E

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. 873>532<462=943

2. 532471=341


Evaluating Conclusion I: 462>471

From the first statement, we know that 462>532 (or 532<462).

From the second statement, we know that 532471.

Combining these, we get:

462>532471

Since 462 is strictly greater than 532 and 532 is greater than or equal to 471, it follows directly that 462>471.

Therefore, Conclusion I is definitely true.


Evaluating Conclusion II: 341<873

From the first statement, we have 873>532 (which means 532<873).

From the second statement, we have 532471=341, which gives 532341 (or 341532).

Combining these relations:

341532<873

Since 341 is less than or equal to 532 and 532 is strictly less than 873, it logically follows that 341<873.

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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