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The smallest positive number which must be added to the greatest number of 4 digits in order that the sum may be exactly divisible by 307 is:
Question

The smallest positive number which must be added to the greatest number of 4 digits in order that the sum may be exactly divisible by 307 is:

A.

306

B.

176

C.

132

D.

307

Correct option is C

Given:

Greatest 4-digit number: 9999
Divisor: 307
Solution:

Divide 9999 by 307:
9999÷30732.5799 \div 307 \approx 32.57
Take the next whole number (33) and multiply by 307:
307×33=10131307 \times 33 = 10131
Subtract 9999 from 10131:
10131 - 9999 = 132

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