Teachoo MCQ Test

Assertion Reasoning Quiz

Preparing for CBSE

Chapter 5 Class 10 Arithmetic Progressions | 5 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 360
Question 1 of 5
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Question 1 of 5
Assertion (A): The amount of air removed from a cylinder by a vacuum pump that removes \(1 / 4\) of the remaining air each time forms an AP .
Reason (R): The amount of air removed is a constant fraction of the remaining air, not a constant value.
Select one option. Answers are shown after the test.
Question 2 of 5
Assertion (A): The sum of the first 20 terms is equal to the sum of the first 30 terms for an AP whose first term is 25 and common difference is -2 .
Reason (R): The sum of terms from the 21st to the 30th is zero.
Select one option. Answers are shown after the test.
Question 3 of 5
Assertion (A): The sum of the first ' \(n\) ' odd natural numbers is \(n^2\).
Reason (R): The sum of the first n terms of an AP is given by \(S_n=\frac{n}{2}[2 a+(n-1) d]\).
Select one option. Answers are shown after the test.
Question 4 of 5
Assertion (A): The total fare for a journey of 15 km , where the fare is ₹20 for the first km and ₹ 8 for every additional km , is ₹ 132 .
Reason (R): The fares for \(1 \mathrm{~km}, 2 \mathrm{~km}, 3 \mathrm{~km}, \ldots\) form an AP with \(\mathrm{a}=20\) and \(\mathrm{d}=8\).
Select one option. Answers are shown after the test.
Question 5 of 5
Assertion (A): If the sum of ' \(n\) ' terms of a sequence is \(3 n^2+2 n\), then the sequence is an AP .
Reason (R): The \(n\)th term of the sequence can be found by \(a_n=S_n-S_{n-1}\). If \(a_n\) is a linear expression in ' \(n\) ', the sequence is an AP.
Select one option. Answers are shown after the test.