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## OGQR 2020: Question No. 81

Consider the following set of inequalities: p > q, s > r, q > t, s > p, and r > q. Between which two quantities is no relationship established?

### Solution

#### Given

In this question, we are given a set of inequalities, as follows

• p > q
• s > r
• q > t
• s > p
• r > q

#### To Find

We need to determine

• There is no relationship between which two quantities.

#### Approach & Working

Combining the relations s > p, p > q and q > t, we can write

• Relation 1: s > p > q > t

Also, combining the relations s > r, r > q, and q > t, we can write

• Relation 2: s > r > q > t

Now, checking the options one at a time:

• Between p and r: no direct relation exist
• Between s and t: from either relation we can say s > t
• Between s and q: from either relation we can say s > q
• Between p and t: from relation 1 we can say p > t
• Between r and t: from relation 2 we can say r > t

Hence, the correct answer is option A.

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