Question

If n ≠ 0, which of the following must be greater than n?

I 2n
II n²
III 2 - n
AI only
BII only
CI and II only
DII and III only
ENone

Answer 1

Option E

Explanation:

if
`n\\eq` 0, let us plugging different value for n

if n=1

2n = 2 x 1 = 2>n

but if n=-1

2n= 2 x -1 = -2<n

So I is not always true

Now, for the same value of n, let us check the other two statements

`n^(2)` =
`1^(2)` = 1 which is not greater than n

So II is also not true

2 - n = 2 - 1 = 1 which is not greater than n

So we can see that none of the statement is true,

So the correct answer is option E