Teachoo MCQ Test

10 Question MCQ (including Assertion)

Preparing for CBSE

Chapter 5 Class 10 Arithmetic Progressions | 10 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 720
Question 1 of 10
Advertisement
Question 1 of 10
The sum of the interior angles of a triangle is \(180^{\circ}\), a quadrilateral is \(360^{\circ}\), a pentagon is \(540^{\circ}\), and so on. This sequence forms an AP. What does the common difference of \(180^{\circ}\) represent?
Select one option. Answers are shown after the test.
Question 2 of 10
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.
Select one option. Answers are shown after the test.
Question 3 of 10
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 4 of 10
A person is pushing a swing. On the first push, the swing travels a distance of 10 meters. With each subsequent push, the air resistance causes the swing's travel distance to decrease by 0.5 meters. When will the model predict the swing stops moving?
Select one option. Answers are shown after the test.
Question 5 of 10
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 6 of 10
A theater's seating is arranged in an AP. The 3rd row has 24 seats and the 8th row has 39 seats. An event is reserved for a class of 31 students. Which is the first row that can accommodate the entire class in a single row?
Select one option. Answers are shown after the test.
Question 7 of 10
A worker stacks bricks. The bottom layer has 40 bricks, the next has 38 , and so on, up to the top layer with only 2 bricks. To find the total number of bricks, which AP concept is most direct?
Select one option. Answers are shown after the test.
Question 8 of 10
A spiral is made of successive semicircles with radii \(0.5 \mathrm{~cm}, 1.0 \mathrm{~cm}, 1.5 \mathrm{~cm}, \ldots\) as shown in the figure. The lengths of the semicircles will form:
Select one option. Answers are shown after the test.
Question 9 of 10
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 \(360^{\circ}\).
Select one option. Answers are shown after the test.
Question 10 of 10
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.