Question

Mathematics textbook for class VII has $ 320 $ pages. The chapter ‘symmetry’ runs from page $ 261 $ to page $ 272. $ The ratio of the number of pages of this chapter to the total number of pages of the book is $ 3:80 $
REASON
In a school of $ 100 $ students only $ 2 $ out of $ 5 $ students can participate in a quiz. The percentage of students that participate in the quiz is $ 40\% $
A.Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
B.Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion.
C.Assertion is correct but Reason is incorrect.
D.Both Assertion and Reason are incorrect.

Answer 1

Hint: An assertion means the forceful or the confident statement or it may be fact and belief whereas the reason is an explanation about that particular statement. First we will find if the given assertion is true or false and then will decide whether the given assertion and the reason are correct or not.

Complete step-by-step answer:
Statement $ 1 $ : Mathematics textbook for class VII has $ 320 $ pages.
Therefore, total number of pages $ = 320 $
The chapter ‘symmetry’ runs from page $ 261 $ to page $ 272. $
 $ \Rightarrow $ Therefore, the number of pages in chapter “symmetry” $ = 272 - 261 + 1 = 12 $
 $ \Rightarrow $ So, the required solution is $ = \dfrac{{12}}{{320}} $
Simplify the above fraction taking common factor
 $ \Rightarrow $ Hence, the required solution is $ = \dfrac{3}{{80}} $ .

Statement $ 2 $ : The ratio of the students participated in the quiz is $ = 2:5 $
 $ \Rightarrow $ Therefore, the number of the students participated in the quiz is $ = \dfrac{2}{5} \times 100 = 40 $ $ $
 $ \Rightarrow $ Hence, the percentage of students that participated in the quiz is $ = \dfrac{{40}}{{100}} \times 100 = 40\% $
Therefore, Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion.
Hence, from the given multiple choices- option B is the correct answer.

So, the correct answer is “Option B”.

Note: Always judge each given statement of the assertion and the reason independently. If you are able to find out the incorrect statement, then you have solved the statement and accordingly determine whether the given statements are true or false. These types of questions are generally asked in the competitive exams.