Which relation is true for the remainder r in a = bq + r for dividend a and divisor b. 

Concept -

In the equation �=��+� , where � is the dividend, � is the divisor, � is the quotient, and � is the remainder:

The remainder � is the integer left over when � is divided by � . It's always non-negative and smaller than the divisor � .

Explanation -

In the equation �=��+� , where � is the dividend, � is the divisor, � is the quotient, and � is the remainder, the relation that holds true regarding the remainder � is:

The remainder � must be greater than or equal to zero and less than the absolute value of the divisor � .

In other words:

0≤�<∣�∣ 0 ≤ r < b

This means that the remainder � is a non-negative number and is always smaller than the absolute value of the divisor � .

Hence option (3) is true.