Can you help me how to approach the following problem?
When 777 is divided by positive integer n, the remainder is 77. How many possibilities are there for n?
A. 2
B. 3
C. 4
D. 5
E. 6
The answer is [spoiler](D)[/spoiler].
Possible values for n
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777 = q * n + 77, where n > 77ncavaggn wrote:Can you help me how to approach the following problem?
When 777 is divided by positive integer n, the remainder is 77. How many possibilities are there for n?
A. 2
B. 3
C. 4
D. 5
E. 6
The answer is [spoiler](D)[/spoiler].
qn = 700 = 7 * 2² * 5²
Now since n must be more than 77, so n could take only 5 values: 100, 140, 175, 350, and 700.
The correct answer is D.
Anurag Mairal, Ph.D., MBA
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