Question

In the following question, two statements (i) and (ii) are given. Choose the valid statement.

1. The duplicate ratio of `sqrt2 : sqrt3` is 2 : 3
2. 7 : 8 > 4 : 5

Options

• Only (i)

• Only (ii)

• Both (i) and (ii)

• Neither (i) nor (ii)

Answer 1

Both (i) and (ii)

Explanation:

i.

`(sqrt(2^2)) : (sqrt(3^2))`

2 : 3

Therefore, statement (i) is valid.

ii.

`7/8 > 4/5`

⇒ `(7 xx 5)/(8 xx 5) > (4 xx 8)/(5 xx 8)`

⇒ `35/40 > 32/40`

Therefore, statement (ii) is valid.