Three valves, when opened individually, can drain the water from a certain tank in 3, 4, and 5 minutes respectively. What is the greatest part of the tank that can be drained in one minute by opening just two of the valves?

(A) 3/20

(B) 1/5

(C) 7/12

(D) 2/3

(E) 3/4

A candy assortment contains only chocolates and caramels. If there are four times as many chocolates as caramels in the assortment, then caramels are what fraction of the assortment?

(A) 4/5

(B) 1/2

(C) 1/3

(D) 1/4

(E) 1/5

The value of (9´10⁷)(9´10⁸) is closest to which of the following?

A.10¹⁶

B.10¹⁷

C.10⁵⁶

D.10⁵⁷

E.10⁵⁸

A jar contains between 50 and 60 marbles. If the marbles are counted out 3 at a time, 1 is left over; if they are counted out 4 at a time, 3 are left over. How many marbles are in the jar?

(A) 52

(B) 54

(C) 55

(D) 58

(E) 59

In a certain population, x out of every y persons are found to have characteristic * . If 200 persons are found to have characteristic *, then which  of the following expressions provides the total number of persons in the population?

(A) 200x

(B) 200xy

(C) 200x/y

(D) 200y/x

(E) 200(x -y)

A wire that weighs 24 kilograms is cut into two pieces so that one of the pieces weighs 16 kilograms and is 34 meters long.  If the weight of each piece is proportional to its length, how many meters long is the other piece of wire?

A) 8
B) 11
C) 13
D) 17
E) 20

hi
I am preparing for GMAT and came across a question for which I had no answer. Can you please publish the question so that I can discuss about it in you forum? The question is described below:

A man chooses an outfit from 3 different shirts, 2 different pairs of shoes, and 3 different pants. If he randomly selects 1 shirt, 1 pair of shoes, and 1 pair of pants each morning for 3 days, what is the probability that he wears the same pair of shoes each day, but that no other piece of clothing is repeated?

(1)(1/3)pow6(1/2)pow3
(2)(1/3)pow6(1/2)
(3)(1/3)pow4
(4)(1/3)pow2(1/2)
(5)5X(1/3)pow2

N.B: pow = power

If x and y are different prime numbers, each greater than 2, which of the following must be true ?

I. x+y ? 91
II. x–y is an even integer.
III. x/y is not an integer.

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