In the coordinate plane a slope of the line K is 4 times the y-intercept of the line K. What is the x-intercept of the line K? A. -4 B. 4 C. -1/4 D. 1/4 E. 2 ANS: As Y=4mx+m, from 0=4mx+m we get x=-1/4. Hence, the correct answer choice is C.

Adding to this since it's a quadratic we will get 2 solutions 11,-14 but since -14 is not an option so n=11 is correct. Sent from my iPhone using GMAT Club Forum mobile app

What is the difference between the circumferences of 2 circles such that the diameters of the circles are 10 and 11? A. \frac{π}{2} B. π C. 3\frac{π}{2} D. 2π E. 5\frac{π}{2} ==> The circumference of a circle is π d, thus π(11-10)= π . Therefore, the answer is B. Answer: B

What is the number of multiples of 25 between 5^4 and 5^5 , inclusive? A. 75 B. 96 C. 101 D. 121 E. 125 ==> The number of multiples become (last-first/n)+1, then you get \frac{5^5-5^4}{25}+1=\frac{(5-1)5^4}{25}+1=4(5^2)+1=101 . Therefore, the answer is C. Answer: C

If 1 male, 2 females, and 1 child are to be randomly selected from 8 males, 10 females, and 8 children, how many such cases are possible? A. 980 B. 1,440 C. 1,880 D. 2,480 E. 2,880 ==> You get 8C1*10C2*8C1=(8)(45)(8)=2,880. The answer is E. Answer: E

What is the range of 30 consecutive even numbers? A. 54 B. 56 C. 58 D. 60 E. 62 ==> The number of consecutive numbers become (last-first/2)+1=(range/2)+1. In other words, from (range/2)+1=30, you get range/2=29, range=2(29)=58. The answer is C. Answer: C

8^1^0-8^2 is the approximation of which of the following? A. 8^7 B. 8^8 C. 8^9 D. 8^1^0 E. 8^1^1 ==> You get 8^1^0-8^2=(8^8-1)8^2≒(8^8)(8^2)=8^1^0 . The answer is D. Answer: D

When f(x)=x^2(1-x)^2 , which of the following is equal to f(1-x)? A. f(x) B. f(x)/x C. f(-x2) D. f(x2) E. f(1) ==> You get f(1-x)=(1-x)^2(1-(1-x))^2=(1-x)^2x^2=f(x) . Therefore, the answer is A. Answer: A

Which of the following equivalent to (1/8)^4 ? A. (0.5)^5 B. (0.25)^3 C. (0.25)^6 D. (0.4)^3 E. (0.8)^2 ==> You get (1/8)^4=((1/2)^3)^4=(1/2)^1^2=((1/2)^2)^6=(1/4)^6=(0.25)^6 . Therefore, the answer is C. Answer: C

What is the difference between the hypotenuse’s length of the right triangle with 2 shorter sides of 10 and 24 and the hypotenuse’s length of the right triangle with 2 shorter sides of 7 and 24? A. 1 B. 2 C. 3 D. 4 E. 5 ==>For Pythagorean Theorem, 5:12:13=10:24:26 and 7:24:25 appear most frequently. Thus, the length of hypotenuse each becomes 26 and 25, and the difference becomes 26-25=1. The answer is A. Answer: A

10+8÷3×6-2=? A. 24 B. 34 C. 22 D. 12 E. 11 ==> When calculating the numbers, even if there are no brackets, multiplication and division come first. You get 10+8÷3×6-2=10+(8/3)6-2=10+16-2=24. The answer is A. Answer: A