Question

What is the largest 4 digit number that is exactly divisible by 93?

Answer 1

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$\mathbb{\underline{\blue{Type\: Of\: Problem:}}}$

¶ To find Largest n-digit number that is exactly divisible by 'd'

$\mathbb{\underline{\green{Approach\: To\: Problem:}}}$

• Consider the largest n-digit No. (say N)
• Divide N by d
• If the remainder obtained after division is 0, then the divided(N) just took is the required No.
• If remainder is not equal to 0, the required No. can be obtained by subtracting remainder 'r' from n-digit No. 'N'
=> Required No. = N - r

$\mathcal{\underline{\purple{SOLUTION:}}}$

Given,
n = 4 => N = 9999
d = 93

Now,
Do 9999 ÷ 93 to know remainder 'r' :

93 | 9999 | 107
……| 930
--------------------------
……|…699 |
……|…651 |
--------------------------
….……(48)

•°• r = 48

•°• Required No. = 9999 - 48 = 9951

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