If x is in inverse variation with y and x = 4 when y = 6, the value of x when y = 12 is:

1. 2

2. 18

3. 8

4. 12

Statement 1: Work done varies inversely to the number of persons at work.

Statement 2: Time taken to finish a work varies directly to the number of persons at work.

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) : If 3 pipes can fill a tank in 6 hours, then 6 pipes will fill the same tank in half the time.

Reason (R) : Time required to complete a certain work = $\dfrac{\text{Work to be completed}}{\text{One day's work}}$.

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) : In the following table, p and q are in inverse variation.

Reason (R) : If two quantities p and q are in inverse variation, then $\dfrac{p}{q}$ is always constant.

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.