Question

Find the odd one out of the following and give reason.

Options

• `4/(-9)`

• `(-16)/36`

• `(-20)/(-45)`

• `28/(-63)`

Answer 1

`bb((-20)/(-45))`

Explanation:

(a) `4/(-9)`

= `(4 xx (-1))/((-9) xx (-1))`

= `(-4)/9`

(b) `(-16)/36`

H.C.F. of 16 and 36 is 4.

Now, reduced form of `(-16)/36` is `((-16) ÷ 4)/(36 ÷ 4) = (-4)/9`

(c) `(-20)/(-45)`

H.C.F. of 20 and 45 is 5.

Now, reduced form of `(-20)/(-45)` is `(-20 ÷ (-5))/(-45 ÷ (-5)) = 4/9`

(d) `28/(-63)`

H.C.F. of 28 and 63 is 7.

Now, reduced form of `28/(-63)` is `(28 ÷ (-7))/((-63) ÷ (-7)) = (-4)/9`

Except (c), all others have the same value i.e., `(-4)/9`