A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is $ 855, the total profit is:

A. $ 1425
B. $ 1500
C. $ 1537.50
D. $ 1576
E. $ 1600

If x^y=64 and x and y are positive integers, then x + y can take how many values

A. 3
B. 4
C. 5
D. 6
E. 7

Ratio of two numbers x and y is 3:5. If x is increased by 20% and y is increased by 8 then the new ratio becomes 2:5. what is the ratio 2y:(x+6)

A. 2:5
B. 3:5
C. 4:5
D. 5:3
E. 10:3

­If |x−y|=0 , what is the value of |x|−|y|?

A. -1
B. 0
C. 1
D. 2
E. 4­

If 5−6/x=x , then x has how many possible values?

(A) None
(B) One
(C) Two
(D) A finite number greater than two
(E) An infinite number

If 4 is one solution of the equation x^2 + 3x + k = 10, where k is a constant, what is the other solution?

(A) -7
(B) -4
(C) -3
(D) 1
(E) 6

If x/y=3/2 and y/z=4/6, then x−z=

A. 0
B. 1
C. 3/2
D. 2
E. 5

How many litres of a 12 litre mixture containing milk and water in the ratio of 2 : 3 be replaced with pure milk so that the resultant mixture contains milk and water in equal proportion?

A. 1.0 litres

B. 1.5 litres

C. 2.0 litres

D. 4.0 litres

E. 4.0 litres

If |x + 1| = 2|x - 1|, what is the sum of the roots?

A. 4
B. 6
C. 8
D. 20/3
E. 10/3

If 6x - 15y = 33, and 6y - x = -18, what is the sum of x and y?

(A) -7
(B) -5
(C) 2
(D) 5
(E) 12