CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard

CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard →
Class 10
Solutions of Sample Papers for Class 10 Boards

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 July 17, 2026 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.

Assertion : -5, -5/2, 0, 5/2, _ is in Arithmetic Progression. - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard

-lock-

part 2 - Question 20 [Assertion Reasoning] - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10

part 3 - Question 20 [Assertion Reasoning] - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10 part 4 - Question 20 [Assertion Reasoning] - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10

-endlock-

Remove Ads Share on WhatsApp

Transcript

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)

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

Many students prefer Teachoo Black for a smooth, ad-free learning experience.