Chapter 1, Problem 2SAP

To determine

To select: the value of K from the given options.

Answer to Problem 2SAP

B. 24

Explanation of Solution

Given information:

Given condition: 8 and 12 each divide K without a remainder.

The given options are as follows:

1. 16
2. 24
3. 48
4. 96
5. Cannot be determined.

Calculation:

  $\begin{array}{c}\text{Prime factor of 8}=2\times 2\times 2=2^3\\ \text{Prime factor of 12}=2\times 2\times 3=2^2\times 3^1\\ \text{LCM of 8 and 12}=2^3\times 3^1=24\end{array}$

If K will be divided by 8 and 12 completely, remainder will be zero. Thus, the value of K is 24. The option B. is correct.