Question
The Government issued Aaadhar card which is of 6-Digit
number. Ramu was last to get the Aaadhar card and so he had the last possible Aadhar Card number. He was afraid that he will forget his number so he wrote down the number 1234 in his Diary alongwith the way to arrive at the number. When the card number is divided by 3,4,5 and 6, then it gives the remainder individually the number which was notes in the diary. Find out his aadhar number?Solution
LCM of 3,4,5,6 = 60 Common Remainder = (3-1), (4-2), (5-3), (6-4) is “2” Now the 6 digit greater number = 999999 When divided by 60 gives Remainder ‘39’ Therefore, (999999-39) is exactly divided by 60 Now, Aadhar Number is = 999960 – common Remainder = 999960 – 2 = 999958
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