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
Elementary arithmetics
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
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
2010006107
Level:
B
The number \( 13^{12}+13^{13} \) is divisible by:
\( 7 \)
\( 8 \)
\( 6 \)
\( 4 \)
2010006106
Level:
B
The number \( 10^{2021}+8 \) is not divisible by:
\( 5 \)
\( 4 \)
\( 6 \)
\( 8 \)
2010006105
Level:
B
The number \( 432a623212 \) is divisible by \( 3 \) if
\( a= 8 \).
\( a= 7 \).
\( a= 4 \).
\( a= 0 \).
2010006104
Level:
B
The number \( x \) when divided by \( 11 \) gives a remainder of \( 3 \). The number \( x \) can be written in the form:
\( 11n+3,\ n\in\mathbb{N} \)
\( 3n+11,\ n\in\mathbb{N} \)
\( 11(n+3),\ n\in\mathbb{N} \)
\( 3(n+11),\ n\in\mathbb{N} \)
2010006103
Level:
A
The light travels at speed of \(300\, 000\) kilometers per second. How many kilometres it travels in \(24\) hours? Give the result in exponential notation.
\( 2.592\cdot10^{10}\,\mathrm{km} \)
\( 2.592\cdot10^{11}\,\mathrm{km} \)
\( 25.92\cdot10^{10}\,\mathrm{km} \)
\( 2.592\cdot10^{9}\,\mathrm{km} \)
2010006101
Level:
A
The shortest distance from Mars to the Earth is \( 5.4\cdot10^7\,\mathrm{km} \). Give the distance in the standard form.
\( 54\,000\,000\,\mathrm{km} \)
\( 5\,400\,000\,\mathrm{km} \)
\( 540\,000\,000\,\mathrm{km} \)
\( 540\,000\,\mathrm{km} \)