SOLUTION TO LAST MONTH'S QUIZ
1) 841
2) Three months, namely February, March, November.
3) (i) 4129 (ii) 9175
X 3 X 93
12387 27525
===== 82575
853275
======
Notes
1). The LCM (Least Common Multiple) of 2, 3, 4, 5, 6, 7
and 8 is 840. So required number is 841.
2). (One method of several.) Write down the first of each
month as a day of the year, e.g. 1st Jan = 1, 1st Feb
= 32, etc. Then reduce these MOD 7 (i.e. remainder
after dividing by 7).
JAN = 1 MAY = 2 SEP = 6
FEB = 4 JUN = 5 OCT = 1
MAR = 4 JUL = 0 NOV = 4
APR = 0 AUG = 3 DEC = 6
The most frequent result, 4, occurs in Feb, Mar and Nov.
3). By intelligent trial and error.
