If `alpha` means greater than', `beta` means equal to', `theta` means 'not less than'.`gamma` means 'less than',`delta` means 'not equal to' and `eta` means 'not greater than', then which of the four alternatives could be a correct or proper inference in pach of the following ?
`a alpha 2b` and `2b theta r`

Options

A. `a eta r`
B. `a alpha r`
C. `a beta r`
D. `a gamma` r

Answer

B

Explanation

According to the given information
`a alpha 2b implies a gt 2b " "` …. (i)
and `2b theta r implies 2b cancelgt r " "`…. (ii)
From (i) and (ii) , we get
`a gt 2b ge r " " [ because 2b cancelgt r implies 2b ge r] `….. (iii)
From (iii) it is clear that `a gt r implies a alpha r`.