Assertion (A): The negative (additive inverse) of -5 is 5 and the negative of 5 is -5.

Reason (R): The negative of a negative rational number is negative and the negative of a positive rational number is negative.

1. Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

2. Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).

3. Assertion (A) is true but Reason (R) is false.

4. Assertion (A) is false but Reason (R) is true.

Assertion (A): For any rational numbers x, y, z, we have, x × (y + z) = x × y + x × z.

Reason (R): Rational numbers are associative under addition and multiplication.

1. Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

2. Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).

3. Assertion (A) is true but Reason (R) is false.

4. Assertion (A) is false but Reason (R) is true.

A, B, C, D and E went to a restaurant for dinner. A paid $\dfrac{1}{2}$ of the bill, B paid $\dfrac{1}{5}$ of the bill and rest of the bill was shared equally by C, D and E. What fraction of the bill was paid by each?

1. $\dfrac{3}{5}$

2. $\dfrac{2}{5}$

3. $\dfrac{3}{10}$

4. $\dfrac{1}{10}$

$\dfrac{2}{5}$ of total number of students of a school come by a car, while $\dfrac{1}{4}$ of students come by bus to school. All the other students walk to school, of which $\dfrac{1}{3}$ walk on their own and rest are escorted by their parents. If 224 students come to school walking on their own, how many students study in that school?

1. 2000

2. 1970

3. 1920

4. 1904