Multiple choice

A number M is completely divisible by 20. If (M + 4)(M + 3) is divided by 20, then what will be the remainder?

  1. 1

  2. 12

  3. 8

  4. 9
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

M is divisible by 20, so M = 20k. (M+4)(M+3) = (20k+4)(20k+3) = 400k^2 + 60k + 80k + 12 = 400k^2 + 140k + 12. Dividing by 20, the remainder is 12.

AI explanation

Using the remainder theorem, since the number M is completely divisible by 20, it leaves a remainder of 0. We can evaluate the expression (M + 4)(M + 3) by finding the product of the remainders of its individual terms, which is 4 multiplied by 3. This gives a product of 12, which is already less than the divisor 20, so it is the final remainder. The remainder is 12.

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