In following questions `alpha` stands for equal to', `beta` for greater than', `gamma` for less than' and `delta` for 'not equal to'
If `6x alpha 5y` and `2y beta 3z` , then

Options

A. `2x beta 3z`
B. `4x beta 3z`
C. `2x gamma z`
D. `4x alpha 3z`

Answer

B

Explanation

According to the given information
`6x alpha 5y implies 6x = 5y " "` …. (i)
and `2y beta 3z implies 2y gt 3z " "` … (ii)
From (i) , we get
`(6x)/(5) = y " "` ….. (iii)
From (ii) , we get
`y gt (3)/(2) z " "` ..... (iv)
From (iii) and (iv) , we get
`(6x)/(5) gt (3)/(2) z`
`implies 12 x gt 15z`
`implies 4x gt 5z`
`implies 4x gt 3z`
`implies 4x beta 3z`.