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Question
If x > y, and w < x, which of the following is always true ?
z > w
y > w
y = w
z < x
x < 2
ANSWER : 4
Descrption
<p>Because, x > y and z < y </p> <p>So, <strong>x > y > z</strong></p> <p>Hence, z < x [this is always true.</p> <p>Let's examine other options too, </p> <p><strong>1. z </strong><strong>></strong> <strong>w,</strong> y is less than x and z is less than y so, obviously z is less than x. On the other hand w is also less than x. But we can not say for sure that z is greater than w. z can be greater than w or can be smaller than w. So this option is not the answer.</p> <p><strong>2. y > w, </strong>in the same way of option 1, here y can be either greater or less than w, so this is also not the anwer we are looking for.</p> <p><strong>3. y = w, </strong>this is also not necessarily always true, y can be less or grater than w too, so this can not be the answer.</p> <p>So, the correct answer choice here is option 4.</p>
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