Question

A scientist studying the weather report for $\alpha$ days and observed that:
(a) It rained on $7$ days in the daytime or in the night time.
(b) If it rained in the night, it was clear in the daytime.
(c) There were four clear nights and there were five clear daytimes.
Then find the value of $\alpha$?

• A. $3$
• B. $5$
• C. $8$
• D. $11$

Answer 1

The correct option is C $8$

Given the condition that is rained 7 days out of $\alpha$ days.There were total of $4$ clear nights which means that in there $4$ days it rained during day time.

$5$ clear daytime means it rained during night time in there $5$ days.

$\therefore \alpha =4+5-1=8$ days.