If x + y = 2 and x^2 + y^2 = 2, what is the value of xy ?

A. –2
B. –1
C. 0
D. 1
E. 2

In a certain box, the ratio of red marbles to blue marbles is 4 to 5, and the ratio of green to blue marbles is 2 to 3. What is the least number of marbles that could be present in the box?

A) 14
B) 15
C) 32
D) 37
E) 43

If 3x+y=−1 and y−2x=4, what is the value of x+2y?

A. − 5
B. − 3

C. 0

D. 3

E. 5

If 2x + 5y =8 and 3x = 2y, what is the value of 2x + y?

A. 4
B. 70/19
C. 64/19
D. 56/19
E. 40/19

If 5x−3−2x+4=2(−x−7), what is the value of x ?

(A) -10
(B) -8
(C) -6
(D) -3
(E) 6

If x is negative and y is positive, what is the value of x given that x^2−8xy+16y^2=49

A. 4y − 49
B. 49 − 4y
C. −7 − 4y
D. 7 + 4y
E. 4y − 7

There are 40 students in a classroom, 9/20 of students are boys and 4/5 of students are right-handed. What is the minimum number of right-handed boys possible?

A. 10
B. 12
C. 14
D. 16
E. 18

If x is a non-negative integer and |6 - |x + 2|| = 10, then find the number of values of x that satisfy the given absolute value inequality.

a. 0
b. 1
c. 2
d. 3
e. 4

If x^2+y^2+(y−1)^2=2xy, what is the value of x+y

A) 5
B) 4
C) 3
D) 2
E) 1

30, 40 and 'n' are such that every number is a factor of the product of the other two numbers. If 'n' is a positive integer, what is the difference between the maximum and minimum value of 'n' ?

A. 0
B. 1
C. 134
D. 1134
E. 1188