Mary attends a church group with 15 other girls and 10 boys. Of the girls in the school, three older ones have younger sisters in the school, and two other girls have brothers in the church group. Of the boys in the church group, two older ones have younger brothers in the church group, and two other boys have sisters in the church group. If there are no twin, and no family has more than two children in the church group, how many of the children, do not have either a brother or a sister in the church group? - provide a full detailed solution. Question 2) I have a 6 digit code that consists of 6 different digits. The second digit is 8. When the passcode is written as three – 2 digit numbers, the three numbers add up to 80. When it is written as two 3- digit numbers , the two numbers add up to 800. What is the last digit of the code. - Provide a full detailed solution Question 3) A survey of school children showed that between 55 % and 65 % owned a computer, between 70% and 80 % owned an ipod and fewer than 5% owned neither of these. What percentage of the children owned both a computer and an ipod? a) btw 15-30 % b) btw 25-45% c) btw 25-50% d) btw 30-45% e) btw 30-50% Question 4) There are a total of 7 spots on each pair of opposite faces on a conventional die. I have 2 unconventional dice. They both have faces with 1,2,3,4,5 and 6 spots, but none of the opposite pairs on either die have a total of 7 spots and all 6 pairs have a different total. First Dice Image Second Dice Image 3 on the top 6 on the top 6 on the side / 4 on the side 2 on the side / 1 on the side What numbers are opposite 1 and 6 on the other die? A - 2 is opposite 1; 3 is opposite 6 B - 2 is opposite 1; 4 is opposite 6 C - 4 is opposite 1; 2 is opposite 6 D -4 is opposite 1; 3 is opposite 6 E - 5 is opposite 1; 2 is opposite 6 F - 5 is opposite 1; 3 is opposite 6 G - 5 is opposite 1; 4 is opposite 6