Teachoo MCQ Test

Assertion Reasoning Quiz

Preparing for CBSE

Chapter 6 Class 9 - Measuring Space: Perimeter and Area (Ganita Manjar | 6 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 504
Question 1 of 6
Advertisement
Question 1 of 6
Assertion (A):
\( \pi \) is an irrational number and cannot be written exactly as a ratio of two integers.
Reason (R):
The value of \( \pi \) is exactly equal to \( \frac{22}{7} \).
Select one option. Answers are shown after the test.
Question 2 of 6
Assertion (A):
The ratio of the square of the perimeter (\( P^2 \)) to the area (\( A \)) for any square is always 16:1, regardless of its scale.
Reason (R):
For a square of side \( a \), Perimeter \( P = 4a \) and Area \( A = a^2 \), making the ratio \( \frac{(4a)^2}{a^2} = 16 \).
Select one option. Answers are shown after the test.
Question 3 of 6
Assertion: Brahmagupta’s formula is a generalisation of Heron’s formula.
Reason: Every rectangle is a cyclic quadrilateral.
Select one option. Answers are shown after the test.
Question 4 of 6
Assertion: If the radii of two circles are in the ratio \(5:4\), their areas are in the ratio \(25:16\).
Reason: The circumferences of the two circles are in the ratio \(25:16\).
Select one option. Answers are shown after the test.
Question 5 of 6
Assertion: A sector with central angle \(\theta\) occupies the fraction \[\frac{\theta}{360^\circ}\] of the circle’s area, and its arc has the same fraction of the circle’s circumference.
Reason: A sector is a region bounded only by an arc of a circle.
Select one option. Answers are shown after the test.
Question 6 of 6
Assertion (A):
A median of a triangle divides it into two triangles of equal area.
Reason (R):
The two triangles formed by drawing a median are always congruent to each other.
Select one option. Answers are shown after the test.