Latest self Aptitude Question SOLUTION: The gretest number which will divide 4003,4126 and 4249 , leaving the same remainder in each case is...

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(#M40018508) SELF question Keep an EYE

The gretest number which will divide 4003,4126 and 4249 , leaving the same remainder in each case is...

anjul meid (11 years ago)

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anjul meid  (11 years ago)

4003 and 4126 are two different numbers

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Jasmine Khan  (11 years ago)

it is 123
k-required number
r-remainder
consider first two numbers
4003=k*q1+r........(1)
4126=k*q2+r........(2)
from (1) and (2)
123=k(q1-q2)
k=123 at q1-q2
similarly check for 4126 and 4249 also for 4003 and 4249 by taking suitable value for q1-q2.
therefore the greatest number which will divide 4003,4126 & 4249.

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Vinay Sipani   (11 years ago)

40029877

Let k be the number,r be the remainder
40034126 = k*q1 + r ----(1)
4249 = k*q2 + r --------(2)

(1) - (2) => 40029877 = k(q2-q1)
if (q2 - q1) = 1

=> k = greatest number = 40029877

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