Practicing Class 8 Maths MCQ and Class 8 Maths Part 2 Chapter 2 The Baudhayana Pythagoras Theorem MCQ Questions Online Test with Answers daily helps in time management.
MCQ on The Baudhayana Pythagoras Theorem Class 8
The Baudhayana Pythagoras Theorem MCQ Class 8
Class 8 The Baudhayana Pythagoras Theorem MCQ
Multiple Choice Questions
Question 1.
If a square is constructed on the diagonal of a given square then the area of the new square is
(a) same as the original square.
(b) half of the original square.
(c) double the original square.
(d) four times the original square.
Answer:
(c) double the original square.
Question 2.
If the side of a square is 5 cm, what is the area of the square constructed on its diagonal?
(a) 50 cm2
(b) 20cm2
(c) 25 cm2
(d) 100 cm2
Answer:
(a) 50 cm2
Question 3.
According to Baudhayana, a square with double the area of a given square can be constructed on its
(a) side
(b) perimeter
(c) diagonal
(d) angle bisector
Answer:
(c) diagonal
Question 4.
Which construction gives half the area of a given square without using paper cutting?
(a) Drawing a circle inside the square
(b) Drawing a diagonal of the square
(c) Drawing a perpendicular bisector of a side
(d) Extending one side of the square
Answer:
(c) Drawing a perpendicular bisector of a side
Question 5.
If the equal sides of an isoceles right-angled triangle are each 1 unit, the length of the hypotenuse is
(a) 1 unit
(b) √2 units
(c) 2 units
(d) √3 units
Answer:
(b) √2 units
Question 6.
Which of the following is a Baudhayana triple?
(a) (4, 5, 6)
(b) (6, 8, 10)
(c) (5, 6, 7)
(d) (8, 10, 12)
Answer:
(b) (6, 8, 10)
Question 7.
Which of the following Baudhayana triples is primitive?
(a) (6, 8, 10)
(b) (9, 12, 15)
(c) (3, 4, 5)
(d) (12, 16, 20)
Answer:
(c) (3, 4, 5)
Question 8.
Which one is correct?
(a) (n – 1)2 + (2n + 1) = n2
(b) (n + 1)2 + (2n – 1) = n2
(c) (n + 1)2 + (2n + 1) = n2
(d) (n – 1)2 + (2n – 1) = n2
Answer:
(d) (n – 1)2 + (2n – 1) = n2
Question 9.
Which of the following equations represents Fermat’s Last theorem?
(a) a2 + b2 = c2
(b) a3 + b3 = c3 has solutions.
(c) an + bn = cn for n > 2 has no integer solutions.
(d) a + b = c
Answer:
(c) an + bn = cn for n > 2 has no integer solutions.
Assertion-Reason Questions
Question 1.
Assertion (A) A square of area 50 cm2 can be obtained by constructing a square on the diagonal of a square of side 5 cm.
Reason (R) The area of a square constructed on the diagonal of a square is double the area of the original square.
(a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
(c) Assertion is true but Reason is false.
(d) Assertion is false but Reason is true.
Answer:
(a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
Question 2.
Assertion (A) If the sides of a triangle are 5 cm, 12 cm and 14 cm then the triangle is right-angled.
Reason (R) A triangle is right angled only if the square of its longest side equals the sum of the squares of the other two sides.
(a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
(c) Assertion is true but Reason is false.
(d) Assertion is false but Reason is true.
Answer:
(d) Assertion is false but Reason is true.
Fill in the Blanks
1. Drawing a diagonal of a square divides it into two _____________ triangles.
Answer:
isoscele right-angled
2. The diagonal of a square of side 20 cm is _____________ cm.
Answer:
20-72
3. The Baudhayana-Pythagoras theorem is applicable only to _____________ triangles.
Answer:
right-angled
4. Baudhayana triples are sets of three _____________ numbers.
Answer:
natural
5. A Baudhayana triple in which the three numbers have no common factor is called a _____________ triple.
Answer:
primitive
True/False
Question 1.
If the area of a square is doubled, its side also becomes double.
Answer:
False
Question 2.
The area of the square produced by the diagonal is the sum of the areas of the squares produced by the two sides.
Answer:
True
Question 3.
A triangle with sides 7 cm, 24 cm and 25 cm satisfies the Baudhayana-Pythagoras relation.
Answer:
True
Question 4.
All Baudhayana triples consist of three even numbers.
Answer:
False
Question 5.
The triple (10, 24, 26) is a primitive Baudhayana triple.
Answer:
False
Match the Columns
Question 1.
| Column A | Column B |
| (i) Hypotenuse | a. Area becomes double |
| (ii) Diagonal of a square | b. a2 + b2 = c2 |
| (iii) Square on the diagonal | c. Side opposite the right angle |
| (iv) Right angled triangle | d. One angle is 90° |
| (v) Baudhayana Pythagoras theorem | e. Divides the square into two equal areas |
Answer:
| Column A | Column B |
| (i) Hypotenuse | c. Side opposite the right angle |
| (ii) Diagonal of a square | e. Divides the square into two equal areas |
| (iii) Square on the diagonal | a. Area becomes double |
| (iv) Right angled triangle | d. One angle is 90° |
| (v) Baudhayana Pythagoras theorem | b. a2 + b2 = c2 |