SOLUTION: A little Kangaroo is playing with his calculator. He starts with the number 12. He multiplies or divides the number by 2 or 3 (if possible) 60 times total. Which of the followin

Algebra.Com
Question 1063430: A little Kangaroo is playing with his calculator. He starts with the number 12. He multiplies or divides the number by 2 or 3 (if possible) 60 times total. Which of the following results can he not obtain?
A. 12 B 18 C 36 D 72 E 108

Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!
I think the answer is . Here's the logic:
A. 12 = 12 / 2 * 2 (even number of operations, so in 60 operations we can also reach 12)
B. 18 = 12 / 2 * 3 (even)
C. 36 = 12 /2 * 3 * 2 (it takes an odd number of operations to go from 12 to 36)
D. 72 = 12 * 2 * 3 (even)
E. 108 = 12 * 3 * 3 (even)


RELATED QUESTIONS

A girl playing with calculator allowing only operations on integers with an integer... (answered by ikleyn)
Liam thinks of a number. He multiplies the number by 5 and then subtracts 60 from the... (answered by nerdybill)
luis chooses a number between 1 and 200. if he divides his number by 10, the remainder is (answered by stanbon)
Henry is thinking of a whole number. He multiplies the number by 5 but the result is less (answered by stanbon)
A farmer has a certain number of tomatoes. If he divides the number by 2, 3, 4, 5, or... (answered by geetha_rama)
when raju multiplies a certain number by 17 and adds 4 to the product he gets 225 find... (answered by oberobic)
A farmer was interested in determining how many grasshoppers were in his field. He knows... (answered by ewatrrr)
Dou is working on a math problem in class, By mistake he multiplies by 10 and divides by... (answered by Edwin McCravy)
PLEASE HELP! ASAP!! When lucy picks any number between 1and20, multiplies it by 5, adds... (answered by Alan3354)