Question

Which is the largest six digit number, which when divided by 12,15,20,24,30,leaves the reminder 8,11,16,20
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Answer 1

Answer:

999956

Step-by-step explanation:

By observation we can see that, the difference of the divisors and their respective remainders is equal.

i.e.

12 – 8 = 4

15 – 11 = 4

20 – 16 = 4

24 – 20 = 4

30 – 26 = 4

Now LCM of 12 , 15 , 20 , 24 , 30 = 120

Greatest 6 digit number = 999999

So when 999999 is divided by 120, we get 39 as the remainder

∴ The required number = 999999 – 39 – 4

= 999956

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