CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard

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Question 20 [Assertion Reasoning] - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at April 16, 2024 by

Statement A (Assertion): -5, (-5)/2, 0 , 5/2 ,  …  is in Arithmetic Progression.

Statement R (Reason): The terms of an Arithmetic Progression cannot have both positive and negative rational numbers.

 

(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A)

(b) Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A)

(c) Assertion (A) is true but reason (R) is false.

(d) Assertion (A) is false but reason (R) is true.

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We need to check if −5,(−5)/2,0, 5/2,… is an AP or not Now, Difference of 2nd and 1st term = (−5)/2−(−5) = 𝟓/𝟐 And, Difference of 3rd and 2nd term = 0 −((−5)/2) = 𝟓/𝟐 Since difference is same Hence, this sequence forms an AP. Thus, Assertion is true Checking Reason Statement R (Reason): The terms of an Arithmetic Progression cannot have both positive and negative rational numbers. This statement is incorrect as in Assertion we proved that −5,(−5)/2,0, 5/2,… is an AP, And it has Positive rational numbers Negative Rational numbers Thus, Reason is false Thus, Reason is false So, Assertion is true Reasoning is false So, the correct answer is (c)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo