C

1003109206

Level: 
C
In \( 2016 \), the population of the Czech Republic increased by \( 25\,000 \) to \( 10\,578\,820 \) inhabitants. How many inhabitants will there live in the Czech Republic at the end of the year \( 2026 \), if the percentage increase is the same every year?
\( 10\,832\,100 \)
\( 10\,828\,820 \)
\( 10\,846\,286 \)
\( 10\,831\,495 \)
\( 10\,603\,879 \)

1003109205

Level: 
C
The bank offers a term deposit with annual interest rate of \( 0.9\% \). We need to tax our profits with the income tax of \( 15\% \). How many Euros are we going to have after five years of savings if the original deposit is \( 200 \) Euros?
\( 207.77 \)
\( 209.36 \)
\( 371.8 \)
\( 209.16 \)
\( 207.65 \)

1003109204

Level: 
C
Candles are being lit at a commemoration in the square. Gradually, every \( 15 \) seconds, two candles are lit from one already burning candle. It also took \( 15 \) seconds to lit the first candle. After \( 4 \) minutes, all candles were lit. How many candles were finally burning in the square?
\( 65\,535 \)
\( 32\,767 \)
\( 32\,768 \)
\( 131\,070 \)
\( 131\,071 \)

1003109203

Level: 
C
The half-life of Francium is \( 21 \) minutes. How long will it take before its weight decreases from \( 512\,\mathrm{g} \) to \( 1\,\mathrm{g} \)?
\( 3 \) hours \( 9 \) minutes
\( 2 \) hours \( 48 \) minutes
\( 3 \) hours \( 30 \) minutes
\( 2 \) hours \( 27 \) minutes
\( 3 \) hours \( 51 \) minutes

1003109202

Level: 
C
A blouse is on sale and its price was reduced twice, each time by ten percent. The difference between its original and its final price is \( 133\,\mathrm{CZK} \). What was the blouse original price before the discounts?
\( 700\,\mathrm{CZK} \)
\( 665\,\mathrm{CZK} \)
\( 1\,330\,\mathrm{CZK} \)
\( 1\,400\,\mathrm{CZK} \)
\( 750\,\mathrm{CZK} \)

1003158609

Level: 
C
Choose the correct relation.
\( \frac{4^{2\sqrt3}\cdot8}{16^{\sqrt3+1}} =\frac12 \)
\( \frac{9^{2\sqrt5}\cdot27^{\frac13}}{81^{1-\sqrt5}} =\frac1{27} \)
\( \frac{\pi^{1-\sqrt2}\cdot\pi^{1+\sqrt2}}{\pi^2} < \frac1{\pi^3} \)
\( \frac{2^{2\pi}\cdot9^{\pi}}{36^{\pi-1}} < 6 \)