Question

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 ? Round off your answer to nearest tenth digit.

• A. $p\ge 363.3$
• B. $p\ge 445.5$
• C. $p\ge 198$
• D. $p\ge 115.3$

Answer 1

The correct option is D $p\ge 115.3$

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.