Direction for the following 7 (seven) items: Read the following seven passages and answer the items (61-67) that follow the passages. Your answers to these items should be based on the passages only.

Really I think that the poorest he that is in England has a life to live, as the greatest he, and therefore truly, I think it is clear that every man that is to live under a government ought first by his own consent to put himself under the government, and I do think that the poorest man in England is not at all bound in a strict sense to that government that he has not had a voice to put himself under.

The average rainfall in a city for the first four days was recorded to be 0.40 inch. The rainfall on the last two days was in the ratio of 4 : 3. The average of six days was 0.50 inch. What was the rainfall on the fifth day?

The correct option is 0.80 inch.

Step-by-step Explanation:

Step 1: Calculate the total rainfall for the first four days.
The average rainfall for the first 4 days is given as 0.40 inch.
Total rainfall for the first 4 days = $4\times 0.40$ = 1.60 inches.

Step 2: Calculate the total rainfall for all six days.
The average rainfall for all 6 days is given as 0.50 inch.
Total rainfall for 6 days = $6\times 0.50$ = 3.00 inches.

Step 3: Find the total rainfall on the fifth and sixth days combined.
Total rainfall on the 5th and 6th days = Total rainfall for 6 days - Total rainfall for the first 4 days
Total rainfall on the 5th and 6th days = $3.00-1.60$ = 1.40 inches.

Step 4: Determine the rainfall on the fifth day using the given ratio.
The rainfall on the last two days (5th and 6th days) is in the ratio of 4 : 3.
Let the rainfall on the 5th day be $4x$ and on the 6th day be $3x$.
$4x+3x=1.40$
$7x=1.40$
$x=0.20$ inch.

Therefore, the rainfall on the fifth day = $4x=4\times 0.20$ = 0.80 inch.