What least number should be subtracted from 1398 so that the remainder when divided by 7, 9, and 11 will leave in each case the same remainder 5 ?
Pick one.
A) 6
B) 7
C) 8
D) 10
E) 11
The LCM of 7, 9, and 11 is 693. The next multiple is  2*693= 
<gadget id="calculator"> 2*693</gadget>
<output>1_386</output>
1386.   1386 + {remainder}= 1386 + 5= 
<gadget id="calculator">1386 + 5</gadget>
<output>1_391</output>
1391, which is 7 less than 1398.   Answer: 7.
<result>B</result>
What least number should be subtracted from 1398 so that the remainder when divided by 7, 9, and 11 will leave in each case the same remainder 5 ?