Find the greatest four digit number when divided by 3,9 and 11 gives a remainder 7 in each case
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Step-by-step explanation:
Prime factors of 4, 7 and 13 4 = 2×2 7 and 13 are prime numbers. LCM ( 4, 7, 13) = 364 We know that, the largest 4 digit number is 9999 Step 1: Divide 9999 by 364, we get 9999/364 = 171 Step 2: Subtract 171 from 9999 9999 – 171 = 9828 Step 3: Add 3 to 9828 9828 + 3 = 9831 Therefore 9831 is the number.
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