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 = C + D` and `A + D gt B + C` , then which one of the following is definitely wrong ?

Options

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

Answer

D

Explanation

According to the question
`A+ B = C + D `
or `A - D = C - B " "` ….. (i)
`A + D gt B+ C " "`… (ii)
Subtracting (i) from (ii) , we get
`2 D gt 2B`
or `D gt B`
So `B cancelgt D ` i.e, `B lt D` [`cancelgt` means not greater than]