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: Study the following questions carefully and choose the...
Directions: Study the following questions carefully and choose the right answer given beside.
In which of the following expressions 'W > Z' as well as ' Y > Z' hold definitely true?
Options
- AW > X > U = Z < H ≤ Y
- BW ≥ X = U > Z ≤ H < Y
- CW = X > U ≥ Z < H < Y
- DAll of the above
Correct answer
D. All of the above
Step-by-step solution
In order to ensure the statement that holds ' W > Z' and ' Y > Z' definitely true, we have to check all the options one by one.
For option A:
W > X > U = Z < H& ≤ Y
Here, the common sign between W and Z is '>', thus it& follows& W > Z.
The common sign between Z and Y is also '<' , thus it& follows& Z < Y or Y > Z.
For option B:
W& ≥ X = U > Z& ≤ H < Y
Here also, the common sign between W and Z is '>', thus it& follows& W > Z.
The common sign between Z and Y is also '<' , thus it& follows& Z < Y or Y > Z.
For option C:&
W = X > U ≥ Z < H < Y
Here again, the common sign between W and Z is '>', thus it& follows& W > Z.
The common sign between Z and Y is also '<' , thus it& follows& Z < Y or Y > Z.
Since all the three expressions hold the given conclusions true, option D "all of the above" is correct.
Hence option D is correct.
For option A:
W > X > U = Z < H& ≤ Y
Here, the common sign between W and Z is '>', thus it& follows& W > Z.
The common sign between Z and Y is also '<' , thus it& follows& Z < Y or Y > Z.
For option B:
W& ≥ X = U > Z& ≤ H < Y
Here also, the common sign between W and Z is '>', thus it& follows& W > Z.
The common sign between Z and Y is also '<' , thus it& follows& Z < Y or Y > Z.
For option C:&
W = X > U ≥ Z < H < Y
Here again, the common sign between W and Z is '>', thus it& follows& W > Z.
The common sign between Z and Y is also '<' , thus it& follows& Z < Y or Y > Z.
Since all the three expressions hold the given conclusions true, option D "all of the above" is correct.
Hence option D is correct.