Answer: Option D
:
D
Step 1 : Underline the key words.
To pass a bill in the Lower house, the Indian government requires at least $\frac{2}{3}$ majority in the house. There are 545 seats in the lower house. 248 members are in favor of passing a particular bill. Which of the following inequality represents the number of additional lower house members, p, who would support the bill, to achieve the required majority.
Step 2 : Recognize the variable
Additional members required to support the bill
Step 3 : Decipher the relation
Given, there are 248 members already supporting the bill and we require 'p' members more.
Thus, 248 + p is required to pass the bill
Step 4 : decide the inequality
Look out for cues :at least $\frac{2}{3}$ majority. We also, know there are 545 seats.
Therefore, $248+p\ge \left(\frac{2}{3}\right)$ 545.
Since, the answer options are simplified. Simplify the given inequation :
$p\ge 115.333$
Hence, option D is correct.