Assertion (A) : The smallest number by which 1323 may be multiplied so that the product is a perfect cube of 7.

Reason (R) : A given natural number is a perfect cube if in its prime factorization every prime occurs three times.

1. Both A and R are correct, and R is the correct explanation for A.

2. Both A and R are correct, and R is not the correct explanation for A.

3. A is true, but R is false.

4. A is false, but R is true.

Assertion (A) : $\sqrt[3]{4\dfrac{12}{125}} = 1\dfrac{3}{5}$

Reason (R) : If p and q are two whole numbers (p ≠ 0), then $\sqrt[3]{\dfrac{p}{q}} = \dfrac{\sqrt[3]p}{\sqrt[3]q}$.

1. Both A and R are correct, and R is the correct explanation for A.

2. Both A and R are correct, and R is not the correct explanation for A.

3. A is true, but R is false.

4. A is false, but R is true.

Assertion (A) : $\sqrt[3]{968} \times \sqrt[3]{1375} = 110$

Reason (R) : If p and q are two whole numbers, then $\sqrt[3]{p} \times \sqrt[3]{q} = \sqrt[3]{pq}$.

1. Both A and R are correct, and R is the correct explanation for A.

2. Both A and R are correct, and R is not the correct explanation for A.

3. A is true, but R is false.

4. A is false, but R is true.

State true or false :

(i) Cube of an odd number can be even.

(ii) A perfect cube does not end with two zeroes.

(iii) If square of a number ends with 5, its cube will end with 25.

(iv) The cube of a two digit number may be a three digit number.

(v) Cube of a natural number is called perfect cube.