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 = 2C` and `C + D = 2A` , then

Options

A. `A + C = B + D`
B. `A + C = 2 D`
C. `A + D = B + C`
D. `A + C = 2 B`

Answer

A

Explanation

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