Given two 2s, "plus" can be changed to "times" without changing the results: 2 + 2= 2 x 2.
The solution with three numbers is easy too: 1 + 2 + 3= 1 x 2 x 3.
Now find the answer for 4 numbers and for 5 numbers.
We have two soap of equal weights and a 3/4 pound weight.
However, after using 1/4 of soap we place all three objects on balance as On one side of balance we place one soap (unused) and on another side, we placed used soap (i.e 3/4th of soap) and 3/4 pound weight.
What is the soap weight?
I am a fruit. If you had two of me, I would sound just the same. If you rearrange my letters, it could be a crime. Add me to a montage and I can become a different fruit. Remove my head and you can still listen; take away the end and I can still be eaten. Without a piece of the center, I am still a word; take away all
of the middle and I am just an acronym. What am I?
Jack had only $2, but he needed $3 for his cab fare home. He went to a pawn shop and pawned his $2 for $1.50. Jack then bumped into Don and told him that he would sell him his $2 pawn ticket for $1.50. Dan agreed. Since Jack started out with $2, and he ended up with $3, who is out the extra dollar and why?
You count the closed circles in each number on the left side. so 656 has 2 (the closed circles of the 6s).
An Egg to a Friend
Mike has some chickens that have been laying him plenty of eggs. He wants to give away his eggs to several of his friends, but he wants to give them all the same number of eggs. He figures out that he needs to give 7 of his friends eggs for them to get the same amount, otherwise there is 1 extra egg left.
What is the least number of eggs he needs for this to be true?
The number of eggs must be one more than a number that is divisible by 2, 3, 4, 5, and 6 since each of these numbers leave a remainder of 1.
For this to be true one less than the number must be divisible by 5, 4, and 3 (6 is 2*3 and 2 is a factor of 4 so they will automatically be a factor). 5 * 4 * 3 = 60. Then you just must find a multiple of 60 such that 60 * n + 1 is divisible by 7. 61 / 7, 121 / 7, 181 / 7, 241 / 7 all leave remainders but 301 / 7 doesn't.
A hundred stones are placed, in a straight line, a yard distant from each other. How many yards must a person walk, who undertakes to pick them up, and place them in a basket stationed one yard from the first stone?
To collect the stones, the person must walk 1 yard to pick up the first stone, and then they had to double the distance each time - 2 yards, 4 yards, 8 yards etc.
To find the answer we multiply 202 by 50 = 10,100 yards.