I also agree with Night Reader E

3 * 3 * 3 * 3 = units digit of 1

7 * 7 = units digit of 9

9 * 9 * 9 = units digits of 9


We just need to multiply the units digits cause anything else doesn't affect the product of the units digit.


9 * 9 * 1 = units digit of 1.

I followed a similar concept, but used numbers to make my math easier, instead of straight algebra. Lets use easy numbers: Length of rectangle = 8 (Since, this will give each circle a diameter of 4 and radius of 2. Nice whole numbers) Since the diameter is 4, the width of the rectangle has to be 4 P...

I assume 2 should say "Y is an integer".

If so then obviously Y + 1 would be an integer.

For 1.

Y = 1/3
3y = 1
Y + 1 = 4/3

OR

Y = 2
3Y = 6
Y + 1 = 3

= Insufficient.

Answer: B

I agree with asamavrick.

Here are my steps:

first found the LCM of 3 and 5 = 15 = A

(1/5)*15 = 3 = # who want to be actors

(2/3)*3 = 2 want to be be both actors and directors

Number of applicants who don't want to be both = 15 - 2 = 13

plug 15 for A you get E

Sum = Average * # items

Average of a 10 number set is the average of digits 5 and digit 6.


Average = (1/15 + 1/16)/2 = (32/240)/2 = (16/240)

Sum = (16/240) * 10 = 16/24 = 2/3

Multiply both sides by 7 -------> 7x + 7y > 0 Subtract 1 and 2 7x - 2y > 0 -7x - 7y > 0 ----------------- 0 - 9y > 0 - 9y > 0 this is only possible when y < 0 . Rocky, is this a valid operation? I don't think you can subtract inequlities like that cause at the same time you're multiplying the whole...

The lowest and highest scores within one standard deviation is 45 and 75, respectively.

Two standard deviations would be 15 * 2, hence the lowest and highest would be 30 and 90.

Answer A.