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This being my first post here, I would like to give a short introduction. I am 24 and preparing for the GRE so that I can get into graduate school, I ultimately want a Phd in Artificial Intelligence. So to reach my goal, this GRE has to be taken, and taken soon. Maths is sure of high school level but sure is a lot trickier than meets the eye. I took the GRE once but bcoz of maths had to cancel scores. This time around, the preparations's gonna be intensive. I solved all the books I could get my hands on but there are a few questions I couldn't solve, or was doubtful bout them. I am posting them here and hope someone would lend a hand. The problem is that the source where I got the questions from doesn't have answers. So if you know how to solve them, Please be kind enough to tell me how. BTW the GRE gives you 45 minutes for 28 questions, so faster the solutions, the better. Well I guess, thats all the ado that's needed. Here are the questions:

1.Given A, B, C and D as four consecutive numbers,

if AD: AB = 9: 1 and AD: AC = 4:1, then what is the value of A, B, C and D?

A. -20, -16, -11, 16

B. -24, -20, 16, 36

C. -24, -4, 16, 36

& so on??

2. A number n when divided by 24 gives 21 as remainder. Which of the following can be the quotient?

A. 3

B. 4

C. 5

D. 6

E. 7

3. For the equation x^2- x- 2<or= 0; how many solutions are possible?

A. 1

B. 2

C. 3

D. 4

& so on?.

4. By weight liquid A makes up 7% of solution-I and 14.5% of solution-II. If 3 grams of solution-I is mixed with 2 grams of solution-II, then liquid A accounts for what percentage of weight of resulting solution?

5. If the sum of n different positive integers is less than 100, then what is the greatest possible value of n?

6. If the standard deviation of w + 6, x + 6, y + 6 is d, then is it greater than or less than r equal to the Standard Deviation of w, x, y

7. Given mode of a set as 70.

Col A: Mean of the set

Col B: 70

a. A greater

b. B greater

c. A and B equal

d. Answer cant be deducted from the data given.

8. Given a series a1, a2.......an. If a1 =4, a2 =-5 and an= a(n-1)+a(n-2), then

find the sum of first 100 numbers in the series?

[NOTE: 1, 2, (n- 2), (n-1) and n in the above question are subscripts].

...........................................................................................................

Please not that the questions CAN be wrong since the source isn't verifiable. Still these questions are important.

Here are my solutions, please correct if I am wrong.

1. No idea

2. All options are right

3. Infinite as x can be less than -1

4. 50%

5. 13

6. Same?

7. Option (d)

8. No Idea