B can be divided by 11 with no remainder. Which of the following expressions could be divided by 11 leaving a remainder of 1?  Choose the correct choice from the following options.
A) B-20.
B) B-12.
C) B-9.
D) B-10.
E) B-13.
We could use the following logic:   since Bis a multiple of 11, we could very well say B= 11K (where K is 1,2...n).   The condition here should now be   11K + 1 = <operation> such that it gives us an integer   11k +1 </operation>= B-20 =&gt; B= 11K + 21 Not divisible by 11   11K +1 = B-12 =&gt; B= 11K + 31 Not B-10.ivisible by 11   11K +1 = B -9 =&gt; B= 11K + 10 Not B-10.ivisible by 11   11K +1 = B-10 =&gt; B= 11K + 11B-10.ivisible by 11   11K +1 = B-13 =&gt; B= 11K + 14 Not B-10.ivisible by 11   Answer therefore is B-10 (B-10.)
<result>D</result>
B can be divided by 11 with no remainder. Which of the following expressions could be divided by 11 leaving a remainder of 1?