The smallest number which when divided by 20, 25, 35, 40 leaves the remainder 6 when divided by 14, 19, 23 and 34 respectively is the difference between divisor and the corresponding remainder is 6.
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LCM of 20, 25,35 and 40 = 1400
now
20-6 = 14
25-6 = 19
35 -6 = 29
40-6 = 34
so, ( 1400-6=1394) will have remainder of 14 ,19 ,29 and 34 when divided by 20, 25 ,35 and 40 esp
ans 1394
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