AIMO Trial 2016

1. 10 => 2x3+4

2. 0.7727272727272727

3. 3999744

4. 100 => 8*jml=modal+400; 8*1/2*jml=modal =>modal=4*jml => 4*jml=400=>jml=100

5. 180-> 2*(42+48)

6. 1556 -> n%12=8;n%13=9;n%15=11;n+4 % 12 = 0;n+4 % 13 = 0;n+4 % 15 = 0;n+4 kelipatan 12,13,15;KPK 12,13,15=780;1560-4=1556

7. 10+10/11 -> 30*j+0.5*m=6*m

8. 628 -> 1/2*(2*phi*r)+1/2*(2*phi*r*3/4)+1/2*(2*phi*r*1/4)=2*phi*r

9. 306 -> C(18,2)*2 = 18!/((18-2)!2!)*2=18!/(16!2!)*2=17*18=306

10. 41/625 -> 0.656=656/10000->FPB=16

11. 22461 -> sigma n*5^(n-1)

12. 28% -> x*(1+0.6)*0.6+x*(1+0.6)*0.4*0.5 = x*(1+0.6)*0.8 = x*(1.28) -> 1.28-1=28%

13. 13440 -> 28*30*16

14. 480 -> 2016=12*12*14 -> 2*(12*12+12*14+12*14)=480

15. 9 1/3 -> 70/14+70/21+70/70=1050/210+700/210+210/210=1960/210=9 1/3

16. 300 -> A+B=C;0.7*A+0.4*B=0.5*C;0.5*C+600*0.2=0.35*(C+600);0.5*C+120=0.35*C+210;0.15*C=90;C=600;A+B=600;0.7*A+0.4*B=300;0.7*A+0.4*(600-A)=300;0.7*A+240-0.4*A=300;0.3*A=60;A=300

17. 7776 -> (t-25)*54*54=36*36*t=>2916t-72900=1296t=>1620t=72900=>t=45 ; (36*36)+4*(36*t)=1296+4*(36*45)=1296+6480=7776

18. 55 5/13 ->180-(150+0.5m)=6m+180 => 210 = 6.5 m => m = 32 4/13;180-(180+0.5m)=6m+180 => 180 = 6.5 m => m = 27 9/13;60 - 32 4/13 + 27 9/13 = 55 5/13

19.

20.
----
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,3,3,1,1,1,1,1,1,1,1,1,1,1,
3,3,3,3,1,1,1,1,1,1,1,1
3,3,3,3,3,1,1,1,1,1
3,3,3,3,3,3,1,1

48s->10ha->18d
21c->30ha->36d
?s->60ha->10d
c=4xs

48s->10*18 => 180
21c->30*36 => 1080 = 84s