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English and Logical Reasoning Prep Guide
Exam
English and Logical Reasoning Prep Guide
Subject
Logical Reasoning
Chapter
Logical Deduction

English and Logical Reasoning Prep Guide · Logical Reasoning · Logical Deduction

Directions: In these questions, relationship between different...

Directions: In these questions, relationship between different elements is shown in the various statements which is followed by three conclusions. Choose the correct answer on the basis of information given below.
Statements: H = V ≤& Y , Y ≥& F < Z, H ≥ P = R,& & Z = M > X

Conclusions:& Y > R ,& & M < F,& & & Y = R

Options

  1. ABoth conclusions I and III follow
  2. BEither conclusion I or III follows
  3. COnly conclusion III follows
  4. DAll conclusions follow

Correct answer

B. Either conclusion I or III follows

Step-by-step solution

Statements:& H = V ≤& Y , Y ≥& F < Z, H ≥ P = R,& & Z = M > X

Conclusions:& Y > R ,& & M < F,& & & Y = R

For Conclusion I: Y > R

From statements I and III, we get:

Y ≥ V = H ≥ P = R

Here, the common sign between Y and R is '≥' . Thus Y ≥ R.

Hence conclusion I does not follow individually.

For Conclusion II: M < F

From statements II and IV, we get:

F < Z = M

Here, we the common sign between F and& M is '<'. Thus F < M or M > F.

Hence conclusion II does not follow.

For Conclusion III:& Y = R

From statements I and III, we get:

Y ≥ V = H ≥ P = R

Here, the common sign between Y and R is '≥' . Thus Y ≥ R.

Hence conclusion III does not follow individually.

Combining conclusion& I and III
Since conclusion I is that "Y > R" and conclusion III is that "Y = R" and we have the true relationship as "Y ≥ R", so if we combine both the conclusions, we will arrive at the conclusion that Y is either equal to or greater than R i.e. Y ≥ R.

Thus either conclusion I or III follows.

Hence option B is correct.


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