Question

1. Find which of the following numbers are divisible by 2:
(i) 192 (ii) 1660 (iii) 1101 (iv) 2079

2. Find which of the following numbers are divisible by 3:
(i) 261 (ii) 777 (iii) 6657 (iv) 2574

Answer 1

Dear student,


$$\begin{gathered} 1)Divisibilityof2is \\ Anumberisdivisibleby2ifthedigitatunitplaceiseither0ormultipleof2 \\ fromthegivenoptions,option(i)and(ii)haveunitsdigitas2and0. \\ \therefore 192and1660aredivisibleby2 \\ 2)Divisibilityof3is \\ Anumberisdivisibleby3ifthesumofitsdigitsisdivisibleby3. \\ \left(i\right)261 \\ sum=2+6+1=9whichisdivisibleby3 \\ thus261isdivisibleby3 \\ \left(ii\right)777 \\ sum=7+7+7=21whichisdivisibleby3 \\ thus777isdivisibleby3 \\ \left(iii\right)6657 \\ sum=6+6+5+7=24whichisdivisibleby3 \\ thus6657isdivisibleby3 \\ \left(iv\right)2574 \\ sum=2+5+7+4=18whichisdivisibleby3 \\ thus2574isdivisibleby3 \end{gathered}$$
Regards