BRAINBOLT

$N\equiv 2 \pmod{LCM[6,7,8]}\\ N\equiv 2 \pmod{168}$

set up equation

$168N+2=1000\\ 168N=998\\ N=\frac{499}{84} \approx 5.940$

round down N = 6

answer is 6. 

$a \equiv 5 \pmod{7}\\ a+1\equiv 5+1 \pmod7\\ a+1 \equiv 6 \pmod7$

6 is the answer

convert 2/7 to base 16

2/7_10 = 2/7_16 (nothing changes)

do base division

$\frac{2}{7}_{16} \approx 0.4924924924924925$

The answer is 49249

The answer is $3*7=21$

so 1 is the answer

The answer is $1*2*6 \equiv 5 \pmod7$

so 5 is the answer

take the first and last number. sum them 

$140+1=141$

multiply by half the number of total numbers. $140/2=70$

we thus have $141*70=9870$

prime factorize 9870. $9870 = 2 * 3 * 5 * 7 * 47$

take largest prime number --> 47

47 is the answer. 

Hi EP! :)

$1\% * 200 = 2$            this means that only 2 kg were not water. 

let x be the new amount

$2 = 10\%x$

solve for x

$2(10)=x\\ x=20$

20kg is the answer. 

The answer is $0$