Teachoo MCQ Test

10 Question MCQ (including Assertion)

Preparing for CBSE

Chapter 2 Class 8 - The Baudhayana-Pythagoras Theorem (Ganita Part 2) | 10 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 960
Question 1 of 10
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Question 1 of 10
Assertion (A): A right triangle with hypotenuse 17 and one side 8 has other side 15.
Reason (R): \(17^2-8^2=225=15^2\).
Select one option. Answers are shown after the test.
Question 2 of 10
Assertion (A): A square constructed on the diagonal of a given square has twice the given square's area.
Reason (R): The given square can be divided into two congruent right triangles, while the square on its diagonal can be divided into four of them.
Select one option. Answers are shown after the test.
Question 3 of 10
Which conclusion about \(\sqrt2\) agrees with the chapter?
Select one option. Answers are shown after the test.
Question 4 of 10
Assertion (A): The diagonal of a square of side 5 is \(5\sqrt2\).
Reason (R): The diagonal satisfies \(d^2=5+5\).
Select one option. Answers are shown after the test.
Question 5 of 10
A lotus stands 1 unit above the water and bends to touch the surface 3 units away.
Lotus stem bent to touch the waterThe vertical underwater depth is x, one unit of stem is above water, and the tip touches water three units away.x13x + 1
What is the water depth?
Select one option. Answers are shown after the test.
Question 6 of 10
What is the diagonal of a square of side 5 cm?
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Question 7 of 10
Assertion (A): An isosceles right triangle with equal sides a has hypotenuse \(a\sqrt2\).
Reason (R): Its hypotenuse satisfies \(c^2=a^2+a^2=2a^2\).
Select one option. Answers are shown after the test.
Question 8 of 10
The side of the tilted square moves 2 grid units horizontally and 1 vertically.
A tilted square on a dot gridFrom each vertex to the next, move two grid spaces right and one grid space up.
What is its area?
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Question 9 of 10
Assertion (A): If \((a,b,c)\) is a Baudhāyana triple, then \((ka,kb,kc)\) is also one for every positive integer k.
Reason (R): \((ka)^2+(kb)^2=k^2(a^2+b^2)=k^2c^2=(kc)^2\).
Select one option. Answers are shown after the test.
Question 10 of 10
The odd square 49 is the 25th odd number. Which triple follows from the chapter's relation?
Select one option. Answers are shown after the test.