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: & Y ≥ I > S ,& & H& ≤& A ≤& I ,& & & K > J > A ,& & Z = H < W Conclusions:& Z < Y,& & & J& ≥ W& ,& & Z = Y
Options
- ANone of the conclusions follow
- BOnly conclusion I follows
- CEither conclusion I or III follows
- DOnly conclusion III and either conclusion I or II follow
Correct answer
C. Either conclusion I or III follows
Step-by-step solution
Statements:& & Y ≥ I > S ,& & H& ≤& A ≤& I ,& & & K > J > A ,& & Z = H < W
Conclusions:& Z < Y,& & & J& ≥ W& ,& & Z = Y
For conclusion I: Z < Y
From statements I, II and IV, we get:
& Y ≥ I ≥ A ≥ H = Z
Here, common sign between Y and Z is ' ≥'. Thus Y ≥ Z or Z ≤ Y.&
Hence conclusion I does not follow individually.
For conclusion III: Z = Y
For conclusion II:& J& ≥ W
From statements II, III and IV, we get:
J > A ≥ H < W
Here, we can see that there is opposite sign between J and W, thus no relationship can be established between them.
From statements II, III and IV, we get:
J > A ≥ H < W
Here, we can see that there is opposite sign between J and W, thus no relationship can be established between them.
Hence conclusion II does not follow.
For conclusion III: Z = Y
From statements I, II and IV, we get:
& Y ≥ I ≥ A ≥ H = Z
Here, common sign between Y and Z is ' ≥'. Thus Y ≥ Z or Z ≤ Y.&
& Y ≥ I ≥ A ≥ H = Z
Here, common sign between Y and Z is ' ≥'. Thus Y ≥ Z or Z ≤ Y.&
Hence conclusion III does not follow individually.
Combining conclusions I and III:
Combining conclusions I and III:
While combining conclusion I i.e. Z < Y and conclusion III i.e. Z = Y, we'll get Z ≤ Y, which is the actual relationship between them.
Therefore, Either conclusion I or conclusion III follows.
Hence option C is correct.