Teachoo Quiz

Assertion Reasoning Quiz

Chapter 5 Class 10 Arithmetic Progressions | 5 questions | about 4 minutes

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Question 1 of 5
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Question 1 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 \(\mathrm{d}=8\).
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Question 2 of 5
Assertion (A): A circle is divided into 10 sectors whose angles are in AP. If the smallest angle is \(8^{\circ}\), the largest angle is \(64^{\circ}\).
Reason (R): The sum of all angles at the center of a circle is \(360^{\circ}\).
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Question 3 of 5
Assertion (A): The list of numbers \(5,5,5,5, \ldots\) is an Arithmetic Progression
Reason (R): A sequence is an AP if its terms continuously increase or decrease.
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Question 4 of 5
Assertion (A): Two APs, \(2,5,8, \ldots\) and \(60,61,62, \ldots\), will have a common term.
Reason (R): Two APs will always have a common term if their common differences are different.
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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.
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