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Quantitative Aptitude
Divisibility Rule for 11
The remainder...
Question
The remainder when 678678 is divided by 1001 is _____________ .
___
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Solution
Any number of the form ‘abcabc’ is divisible by 1001.
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Similar questions
Q.
The remainder obtained when
9
722
is divided by 1001 is
Q.
A number when divided by
7
,
11
and
13
(the prime factor of
1001
) successively leave the remainder
6
,
10
and
12
respectively. Find the remainder if the number is divided by
1001
.
Q.
N is a 1001 digit number consisting of 1001 sevens. What is the remainder when N is divided by 1001?
Q.
Let
N
=
(
1001
)
3
+
(
1011
)
3
+
(
1000
)
3
,
the remainder when N is divided by 3! is
Q.
ABCABC is a six digit number where A,B,C are three consecutive natural numbers. Find the remainder when ABCABC is divided by 1001?
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