kaeser

1. A 2. Question unclear. 3. D

Is it? :-) The generic variable 'x' encompasses all possible values (integers here, since divisibility is implied). Hence the question obviously denotes, for all values of x, which of the following number divides the expression (x+1)(x+2)(x+3).

Another way to solve it. Notice that any three consecutive number must be divided by 2 and also by 3. Because within those three consecutive numbers, there is multiple of 2 and a multiple of 3. Hence the product of those three numbers must be divisible by 2*3 = 6.

1. Let x = 100, then z = 120. if z=90 then y=100, so if z=120 then y= 100 * 120 / 90 = 400 / 3 so, x=100 and y= 400/3, so y is 400/3 - 100 = 100 / 3 = 33.33% more than x. so, the increase in y than x is 33.33%

Which of the following number is a divisor of (x+1)*(x+2)*(x+3) A. 4 B. 5 C. 6 D. 8 E. 9

You have to stack boxes side by side. After you have stacked 12 boxes requiring 12 inches in that dimension, you can not insert another box even though you had 12.5 inch in that dimension. So you have to assume 12 inch instead of 12.5 inch.

For Question 1 . . . 3 ^ -2x * 3 = 3 ^ k-1 3 ^ -x = 3 ^ k-1 . . It should be, . 3 ^ -2x+1 = 3 ^ k-1 So, k = -2x+2 :blush:

B 12*10*12 = 1440 10*15*10 = 1500

3. 3/8 Each dice can have any of {1,2,3,4,5,6} values. So total number of possible outcome 6*6*6. We need to have prime on "exactly" 2 dice. There are 3 ways we can choose 2 dice out of 3 dice. So 3 possible case here. Each of these 2 dice must have value from {2,3,5}. So there are 3*3 possible cases here. The other dice must have value from {1,4,6}. So 3 possible case here. So total possible expected event 3*3*3*3. Probability: 3*3*3*3 / 6*6*6 = 3 / 8. :blush: