Question

Directions :

$\alpha$ means greater than

$\beta$ means equal to

$\theta$ means not less than

$\gamma$ means less than

$\delta$ means not equal to

$\eta$ means not greater than

Which one of the following could be a correct or proper inference for the following:

$p\eta 3q$ and $3q\beta 2r$

• A. $p\gamma 3r$
• B. $p\alpha 2r$
• C. $p\theta 2r$
• D. $p\theta 3r$
• E. None of these

Answer 1

The correct option is A $p\gamma 3r$

Given:

$p\eta 3q\Rightarrow p\le 3q$
$3q\beta 2r\Rightarrow 3q=2r$

so we have

$p\le 3q=2r$

Substituting in options

option A

$p\gamma 3r\Rightarrow p<3r$ True because $p<2r$

option B

$p\alpha 2r\Rightarrow p>2r$ False because $p<2r$

option C

$p\theta 2r\Rightarrow p\nless 2r$ False because $p\le 2r$

option D

$p\theta 3r\Rightarrow p\nless 3r$ False because $p\le 2r<3r$

so option A