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The least 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 least 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.

176

B.

132

C.

131

D.

175

Correct option is B

Given:

Greatest 4-digit number = 9999

Divisor = 307

Solution:

Divide 9999 by 307 to find the remainder

9999 ÷\div 307 = 32 with a remainder of 175

9999 = 307 ×\times​ 32 + 175

Number to add = 307 - 175 = 132

(132)\boxed{( 132)}

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