If n and k are positive integers, is √n+ k &gt; 2√n ?

If n and k are positive integers, is √n+ k > 2√n ? Print

Modified on: Tue, 12 Oct, 2021 at 5:07 PM

Solution:

In any inequality, if the signs are same, we can square, cancel or cross multiply.

Here, both parts of the inequality are positive, we can square it and rephrase the question stem as

Is n + k > 4n ?

St (1):- k > 3n

Adding n on both sides n + k >3n (Sufficient)

St (2)
n + k > 3n

=> k>2n

This doesn’t tell us if n + k >4n (Insufficient)

Option (a)

Did you find it helpful? Yes No

Help Desk Software by Freshdesk