The number of digits in the square root of 1210000 is :

1. 2

2. 4

3. 3

4. 5

The greatest 3-digit perfect square number is :

1. 121

2. 961

3. 100

4. 900

Statement 1: 3675 is not a perfect square.

Statement 2: After grouping into pairs of equal factors of 3675, if we multiply or divide by the unpaired factor (if any) then the product or the quotient becomes a perfect square.

Which of the following options is correct ?

1. Both the statements are true.

2. Both the statements are false.

3. Statement 1 is true, and statement 2 is false.

4. Statement 1 is false, and statement 2 is true.

Assertion (A) : $\sqrt{\dfrac{121}{361}} = \sqrt{\dfrac{11}{19} \times \dfrac{11}{19}} = \dfrac{11}{19}$

Reason (R) : The square root of a number n is that number which when multiplied by itself gives n as the product.

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.