8. What is the greatest number of digits which if increased by 3, it becomes
divisible by 35, 45, 55 and 60.
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Answer:
Step-by-step explanation:
35 = 5x7
45 = 5x9
55 = 5x11
60=5x4x3
so LCM of these is 4x5x7x9x11 = 13860
so you want the largest 6 digit number where 3 more than it divides by that number
999999 / 13860 = 72.15, so go for 72 x 13860, and subtract 3, and that is your answer (997920)
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