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Quantitative Aptitude

Divisibility Rule for Composite Numbers

If a, b, c ar...

Question

If a, b, c are digits and abc + bca + cab = x, then the remainder when x is divided by 111 is 0.

A

False

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B

True

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Solution

The correct option is B True

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Similar questions

Let three 3-digit integers abc, bca, cab when divided respectively by 10, 8 and 3 leave the same remainder 1. If $2 < b < 8$ , then a = ?

Q. Take a three-digit number abc. Form bca and cab from this. The sum of all 3 numbers is divisible by 111.

a, b,

c

are three digits of a three-digit number, prove that

a b c + c a b + b c a

is a multiple of

X = A B C + B C A + C A B .

. Evaluate X for
(a) A = 1, B = 0, C = 1,
(b) A = B = C = 1, and
(c) A = B = C = 0.

Q. Take a 3 digit number 'abc'. If we add abc, cab and bca together then the resulting sum is divisible by_____.

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