1003118102
Level:
B
The number \( 10^{2010}+2 \) is divisible by:
\( 6 \)
\( 5 \)
\( 10 \)
\( 4 \)
Elementary arithmetics
1003118106
Level:
B
The number \( 11^{12}+11^{13} \) is divisible by:
\( 6 \)
\( 16 \)
\( 14 \)
\( 5 \)
2010006104
Level:
B
The number \( x \) when divided by \( 11 \) gives a remainder of \( 3 \). The number \( x \) can be written in the form:
\( 11n+3,\ n\in\mathbb{N} \)
\( 3n+11,\ n\in\mathbb{N} \)
\( 11(n+3),\ n\in\mathbb{N} \)
\( 3(n+11),\ n\in\mathbb{N} \)
2010006105
Level:
B
The number \( 432a623212 \) is divisible by \( 3 \) if
\( a= 8 \).
\( a= 7 \).
\( a= 4 \).
\( a= 0 \).
2010006106
Level:
B
The number \( 10^{2021}+8 \) is not divisible by:
\( 5 \)
\( 4 \)
\( 6 \)
\( 8 \)
2010006107
Level:
B
The number \( 13^{12}+13^{13} \) is divisible by:
\( 7 \)
\( 8 \)
\( 6 \)
\( 4 \)
2010007501
Level:
B
The number \( 3\cdot7\cdot13 \) has exactly:
eight positive integer divisors
six positive integer divisors
three positive integer divisors
five positive integer divisors
2010007502
Level:
B
The number \( 3\cdot4\cdot11 \) has exactly:
twelve positive integer divisors
six positive integer divisors
four positive integer divisors
ten positive integer divisors
2010007503
Level:
B
The number \( 2\cdot6\cdot11 \) has exactly:
twelve positive integer divisors
six positive integer divisors
four positive integer divisors
ten positive integer divisors
9000076001
Level:
B
In the following list identify a set of a numbers which give remainder
\(2\) after division by
\(3\), i.e. the numbers can
be written in the form \(3k + 2\),
\(k\in \mathbb{N}_{0}\).
\(5,\ 8,\ 11\)
\(5,\ 10,\ 15\)
\(3,\ 6,\ 9\)
\(15,\ 25,\ 30\)
\(4,\ 5,\ 6\)