A Square and a Cube Class 8 Assertion and Reason Questions
easyA Square and a Cube Class 8 Assertion and Reason Questions
A Square and a Cube Class 8 Assertion and Reason 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) : 1 + 3 + 5 + 7 + 9 = 52.
(R) : 1 + 3 + 5 + 7 + 9 + 11 + ... + (2n - 1)2 = n2, where n is a natural number.
Answer:
(а) Both the statements (A) and (R) are correct and (R) is the correct explanation of (A).
2. (A) : The least square number divisible by each of the numbers 6, 9 and 15 is 900.
(R) : LCM of 6, 9 and 15 is 90.
Answer:
(b) Both the statements (A) and (R) are correct but (R) is not the correct explanation of (A).
3. (A) : Square root of 9801 is 99.
(R) : Prime factorisation of 9801 is
3 × 3 × 3 × 3 × 11 × 11
Answer:
(а) Both the statements (A) and (R) are correct and (R) is the correct explanation of (A).
4. (A) : 5832 is a perfect cube.
(R) : Prime factorisation of 5832 is 2 × 2 × 9 × 9 × 9.
Answer:
(c) (A) is correct but (R) is not correct.
5. (A) : One’s digit of the cube of the number 16 is 6,
(R) : One’s digit of the cube of the number 135 is 5.
Answer:
(b) Both the statements (A) and (R) are correct but (R) is not the correct explanation of (A).
6. (A) : The smallest number by which the number 1188 should be divided to make it a perfect cube is 11.
(R) : Prime factorisation of 1188 is
2 × 2 × 3 × 3 × 3 × 11.
Answer:
(d) (R) is correct but (A) is not correct.