We Distribute, Yet Things Multiply Class 8 Assertion and Reasoning Questions

We Distribute, Yet Things Multiply Class 8 Assertion and Reasoning Questions

We Distribute, Yet Things Multiply Class 8 Assertion and Reasoning Questions

In each of the following questions, two statements have been given. One has been labelled as Assertion '(A) and the other has been labelled as Reason (R). You have to choose the correct option, from the given four options.

(а) Both the statements (A) and (R) are correct and (R) is the correct explanation of (A).

(b) Both the statements (A) and (R) are correct but (R) is not the correct explanation of (A).

(c) (A) is correct but (R) is not correct.

(d) (R) is correct but (A) is not correct.

1. (A): Product of (x - y) and (3x + 5y) is 3x² + 2xy - 5y².

(R): (x - y) × (3x + 5y) = x × (3x + 5y) + y × (-3x + 5y).

Answer:

(c) (A) is correct but (R) is not correct.

2. (A): Sum of p(p - q), q(q - r) and r(r - p) is p² + q² + r² - pq - qr - rp.

(R) : p(p - q) = p² - pq, q(q - r) = q² - qr and r(r - p) = r² - rp.

Answer:

(а) Both the statements (A) and (R) are correct and (R) is the correct explanation of (A).

3. (A): 2x²y³ and 3x³y² are like terms.

(R) : Both 2x²y³ and 3x³y² contains same variables x and y.

Answer:

(d) (R) is correct but (A) is not correct.

4. (A) : (x - y) (x² + xy + y²) = x³ - y³.

(R): (x - y) (x + y) = x² - y².

Answer:

(b) Both the statements (A) and (R) are correct but (R) is not the correct explanation of (A).

5. (A) : (2x + 3y)² = (2x)² + 2(2x) (3y) + (3y)² = 4x² + 12xy + 9y².

(R): (a + b)² = a² + 2ab + b².

Answer:

(а) Both the statements (A) and (R) are correct and (R) is the correct explanation of (A).