In the questions below, some relationship have been expressed through symbols as shown below.
`phi` means less than
`Delta` means not greater than
`-` means equal to `+` means not equal to
`xx` means not less than
`=` means greater than
Study the meaning of these symbols and pick up the correct answer from the answer choices for each of the questions below:
If `A + B gt C + D` and `B + C gt A + D` , then it is definite that

Options

A. `D gt B`
B. `C gt D`
C. `A gt D`
D. `B gt D`

Answer

D

Explanation

According to the question
`A + B gt C + D " "` …. (i)
`B + C gt A + D " "` …. (ii)
Adding (i) & (ii) , we get
`(A + B) + (B + C) gt (C + D) + (A + D)`
or A + 2 B `+ C gt C + A + 2D`
or 2B `gt` 2 D
or `B gt D`.