Latest exam Aptitude Question SOLUTION: (10!+111)/143 what is the remainder??

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(#M40037507) EXAM Numerical Ability question remainder Keep an EYE

(10!+111)/143 what is the remainder??

Asked In exam Rahul Das (9 years ago)

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Saraswathy  (9 years ago)

143 => 11*13

10! mod 11 + 111 mod 11 = R1
R[(p-1)!/p] = p-1 [Provided p is a prime no.]... So R[10!/11] = 10...
10 + 1 mos 11 => 11 mod 11 = 0
R1 = 0

10! mod 13 + 111 mod 13 = R2
6 + 7 mod 13
13 mod 13 = 0
R2 = 0

Rem = 11x+R1 = 13y+R2
Rem = 11x+0 = 13y+0
x = 13, y = 11
143 mod 143 = 0

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Dinesh thatti  (9 years ago)

10!=3628800 10!+111=3628911/143=25377

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