Find the greatest number of four digits which when divided by 10,11,15 and 22 leaves 3,4,8 and 15 as remainders respectively.The best way (as per me) to find the largest number in this case is to directly testing the value rather than finding the LCM n then finding the largest multiple.
a)9907When divided by 10, it leaves a remainder 7 but we want remainder 3. Thus out
b)9903When divided by 10, it leaves a remainder 3. ok
When divided by 11, it leaves a remainder 3 but we want remainder 4. Thus out
c)9893When divided by 10, it leaves a remainder 3. ok
When divided by 11, it leaves a remainder 4. ok
When divided by 15, it leaves a remainder 8. ok
When divided by 22, it leaves a remainder 15. ok
d)None of these
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