Hi, could you say me, if are answers for my homework right? I am from Slovakia (European country), I study on gymnasium (1st class). The teacher gave us voluntary homework (for good mark which is 1 here). These homework answers was on school-leaving exam this year. Teacher tried to select easy questions and they were easy for me, but I wanna know if is process of calculating (and my thingking ).. So here it is (I will try to translate it as best as I can)
1. Find the lowest 5 digit number (A432B) which is divisible (possible to divide) by 15 WITHOUT REMAINDER.
I think it's 14325 cause this number is the lowest and possible to divide by 15 - it's possible to divide by 3 and 5 together. Number is possible to divide by 3 when digit sum of number is possible to divide by 3 (1+4+3+2+5=15/3=5)
Number is possible to divide by 5 when it ends on 0 or 5 (14325; when I insert 0, digit sum will be not possible to divide by 3)
2. Sum of 17 numbers (all numbers ϵ N ---> N means 1 - infinty) is 154. Find the biggest two numbers and write sum of them.
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 +12 + 13 + 14 + 15 + 16 + 18 = 154
16 + 18 = 34
3. Juraj, Filip, Karol and Milan planned trip. All boys said their wishings:
J: I wanna go to High Tatras or stay in hotel.
F: I wanna go to High Tatras and stay in cottage.
K: If we will not go to High Tatras, then I wanna stay in hotel.
M: If we will go to High Tatras, then I wanna stay in cottage or I wanna have breakfast including.
All of them finally went to High Tatras, stayed in hotel and they had breakfast included. Select an option in which were all of them satisfied:
a) J, K, M
b) J, F
c) K, F, M
d) K, M
e) J, F, K
I selected a) option (J, K, M).
THANKS IN ADVANCE: