What do you mean by open modulus? The way I would solve this problem is by evaluating how I would calculate the absolute values. I would note down the points at which the "opening of the absolute functions" changes. |x+3| : changes when x < -3; |4-x| : changes when x > 4; |8+x| : changes w...

I solved it myself :) Here is my solution: Digit 1 can be {2,4,6,8} Digit 2 can be {1,3,5,6,7} Digit 3 can be {3,5,7} Digit 4&5 are dependent on previous digits. Case 1: Digit 2 and 3 are same (and belong to the subset {3,5,7}) Digit 1 can be {2,4,6,8} --> 4 options Digit 2 can be {3} --> 1 opti...

I did not go through your calculation but the correct answer is 1. There are three colors and four picks and at least two socks with the same color in the bin. Even in the worst case scenario, you would pick the same color at least once: Say you pick color 1 then color 2, then color 3; on your last ...

Q2: I am assuming the statement 1 reads as : Ratio of children to men is 5:11 -- Let's write down what we know. We know that for every 5 women there are 2 children. Statement 1: States that for every 5 children there are 11 men. Let's try to combine the first statement with the original statement. 5...

An identification code should be unique; so the order of the letters matter. In addition, the letters in the code should be unique in other words should appear only once.

Do not look at it as "groups vs sub groups". Check if the order and repetition matter or not

he means the later generations of greeks lost all of their epic tales except Iliad and odyssey.

all but = all except.

Hope that helps

Statement 1 : if he paid 595 that means he paid 35% of 1700 as a penalty. That means he cancelled the trip sometime between 45 to 31 days prior ; not sufficient Statement 2 : if the price would increase 255 that means it would increase 15% more. Let's check the penalty table. There are two cases whe...