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

In a certain school, the ratio of boys to girls is 5 to 13. If there are 72 more girls than boys, how many boys are there?

A. 27
B. 36
C. 45
D. 72
E. 117

How many positive factors of 72 are divisible by 2?

A. 4
B. 5
C. 6
D. 8
E. 9

If |2x − 3| + 2 > 7, which of the following could be the value of x ?

I. −4
II. 2
III. 3

A. I only
B. II only
C. III only
D. II and III only
E. I, II, and III

Of the 300 employees in company X, 3/5 are females. If 100 female employees are hired and no other changes are made, what percent of the employees will be females?

A) 30%
B) 60%
C) 70%
D) 80%
E) 93%

A pet store sells pets in a ratio of cats to dogs of 4:3. The ratio of dogs to birds sold is 1:2. What is the ratio of cats to birds?

(A) 2:3

(B) 3:2

(C) 4:2

(D) 12:2

(E) 8:3

If m and n are the roots of the equation 5x^2 -7x + 1 = 0, then what is the value of 1/M+1/N?

A)-9

B)-7

C)5/7

D)7

E)9

What is the remainder when 3^35 is divided by 5?

A. 0
B. 1
C. 2
D. 3
E. 4

The ratio of two quantities is 2 : 3. If each of the quantities is increased by 6, what is the ratio of the new quantities?

A. 2 : 3
B. 6 : 7
C. 8 : 9
D. 8 : 3
E. It cannot be determined from the information given.