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14 Apr 2020, 06:07
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Difficulty:
75%
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Question Stats:
62% (02:43) correct
38%
(02:31)
wrong
based on 182
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The integers 573,921 and 575,713 when divided by a 3-digit positive integer n leave the same remainder. What is the value of n?
A. 189
B. 191
C. 206
D. 256
E. 274
Are You Up For the Challenge: 700 Level Questions
A. 189
B. 191
C. 206
D. 256
E. 274
Are You Up For the Challenge: 700 Level Questions
14 Apr 2020, 06:57
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575713= xn+a......(1)
573921 = yn+a......(2)
Subtract (2) from (1)
1792 = (x-y)n
n must be a factor of 1792. Only 256 among options is a factor of 1792.
D
573921 = yn+a......(2)
Subtract (2) from (1)
1792 = (x-y)n
n must be a factor of 1792. Only 256 among options is a factor of 1792.
D
Bunuel
General Discussion
24 Apr 2020, 23:33
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If n is a factor of integers a and b, then n will be a factor of (a-b).
Here n is factor of both the given nubers.
Hence, n will be a factor of (575713 - 573921) = 1792.
By factorising 1792, we can say that 256 is a multiple of 1792.
Here n is factor of both the given nubers.
Hence, n will be a factor of (575713 - 573921) = 1792.
By factorising 1792, we can say that 256 is a multiple of 1792.
