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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: 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

  1. AW > X > U = Z < H &le; Y
  2. BW &ge; X = U > Z &le; H < Y
  3. CW = X > U &ge; Z < H < Y
  4. 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.
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