LCM and HCF word problems| Remainder theorem and Math Short tricks
Que 1: Find the least number which when divided by 5 leaves the remainder of 4, when divided by 6 leaves the remainder 5, when divided by 7 leaves 6, when divided by 8 leaves the remainder 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
Concept Video: • LCM and HCF Remainder Problems| Remainder ...
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