LCM and HCF Remainder Problems| Fast Calculation Tricks
Que 1: Find the least number which when divided by 5 leaves the remainder of 4, when divided by 6 leaves the remainder of 5, when divided by 7 leaves 6, when divided by 8 leaves the remainder of 7 and when divided by 9 leaves the remainder 8?
(a) 979
(b) 1079
(c) 2519
(d) 5039
Que 2: Find the sum of the digits of the smallest 4-digit number which when divided by 4 leaves remainder 1, when divided by 5 leaves remainder 3 and when divided by 7 leaves remainder 2?
(a) 10
(b) 11
(c) 12
(d) 13
Que 3: If N is divided by 3,4,5 and 6 successively it leaves remainders 2,1,1 and 4 respectively. How many such 4-digit numbers are possible?
(a) 100
(b) 144
(c) 150
(d) 176
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