Teachoo MCQ Test

Assertion Reasoning Quiz

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): 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.
Select one option. Answers are shown after the test.
Question 2 of 5
Assertion (A): It is not possible to design a flower bed with rows of roses where the first row has 30 roses, the second has 27 , the third has 24 , and so on, if the total number of roses to be planted is 170 .
Reason (R): The equation for ' n ' (number of rows) for \(S_n=170\) in this case has no real roots.
Select one option. Answers are shown after the test.
Question 3 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.
Question 4 of 5
Assertion (A): If the 5 th term of an AP is 10 and the 10 th term is 5 , then the 15 th term is 0 .
Reason (R): The nth term of an AP is given by \(a_n=a+(n-1) d\).
Select one option. Answers are shown after the test.
Question 5 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.