Mathematics 2005 JAMB Past Questions - Question 2: If 3214 is divided by 234 and leaves a remainder r, what is the value of r?

Correct Answer

C

Explanation

To find the value of the remainder (r) when 321‚„ is divided by 23‚„, we can convert both numbers to base 10 and perform the division.First, let's convert 321â‚„ to base 10:321â‚„ = (3 * 4²) + (2 * 4¹) + (1 * 4°)      = (3 * 16) + (2 * 4) + (1 * 1)      = 48 + 8 + 1      = 57Next, let's convert 23â‚„ to base 10:23â‚„ = (2 * 4¹) + (3 * 4°)    = (2 * 4) + (3 * 1)    = 8 + 3    = 11Now, we can perform the division:57 ÷ 11 = 5 remainder 2Therefore, the value of the remainder (r) when 321â‚„ is divided by 23â‚„ is 2.