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

A man is known to speak truth 3 out of 4 times. He throws die and reports that it is a 6. The probability that it is actually a 6 is

A) 3/4
B) 5/8
C) 2/5
D) 3/5
E) 4/5

What is the standard deviation (SD) of the four numbers p, q, r, s?

1. The sum of p, q, r and s is 24
2. The sum of the squares of p, q, r and s is 224

A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
D. Each statement alone is sufficient to answer the question.
E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

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John traveled 80% of the way from Yellow-town to Green-fields by train at an average speed of 80 miles per hour. The rest of the way John traveled by car at an average speed of v miles per hour. If the average speed for the entire trip was 60 miles per hour, what is v in miles per hour?
(a) 30
(b) 40
(c) 50
(d) 55
(e) 70

If each of the 8 employees working on a certain project received an award, was the amount of each award the same?
(1) The standard deviation of the amounts of the 8 awards was 0.
(2) The total amount of the 8 awards was $10,000.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

If #X =3X for all odd numbers and #Y = Y/2 for all even numbers. What will be the value of #9*# 6

A) 81
B) 27
C) 64
D) 51
E) 279

If m is an integer, is m positive ?

(1) 5m-10>0
(2) (m^3)-m>0

A) Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.

B) Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.

C) Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.

D) Each statement alone is sufficient to answer the question.

E) Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

If a code word is defined to be a sequence of different letters chosen from the 10 letters A, B, C, D, E, F, G, H, I, and J, what is the ratio of the number of 5-letter code words to the number of 4-letter code words?

A) 5 to 4
B) 3 to 2
C) 2 to 1
D) 5 to 1
E) 6 to 1

Each participant in a certain study was assigned a sequence of 3 different letters from the set {A, B, C, D, E, F, G, H}. If no sequence was assigned to more than one participant and if 36 of the possible sequences were not assigned, what was the number of participants in the study? (Note, for example, that the sequence A, B, C is different from the sequence C, B, A.)

A) 20
B) 92
C) 300
D) 372
E) 476

On the real number line, there are four points P, Q, S, and T, with coordinates p, q, s, and t, respectively. Suppose p < q < s < t, p = -1, s = 2. If the distance between P and Q is twice the distance between Q and S, and S is the midpoint of Q and T, then T has coordinate

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

It takes 6 technicians 10 hours to build and program a new server, with each working at the same rate. If six technicians start to build the server at 11:00 AM, and one technician per hour is added beginning at 5:00 PM, at what time will the server be complete?

A) 7:00 PM

B) 8:00 PM

C) 7:40 PM

D) 7:20 PM

E) 6:40 PM

A certain culture of bacteria quadruples every hour. If a container with these bacteria was half full at 10:00 a.m., at what time was it one-eighth full?

(A) 9:00 a.m.
(B) 7:00 a.m.
(C) 6:00 a.m.
(D) 4:00 a.m.
(E) 2:00 a.m.

How many positive integers exist between 10^6 and 10^7, the sum of whose digits equal to 2 ?

A) 5
B) 6
C) 7
D) 8
E) 18

If r>t and r<1 and rt=1, then which one of the following must be true ?

A) r>0 and t<-1
B) r>-1 and t<-1
C) r<-1 and t<-1
D) r<1 and t>1
E) r>1 and t<0

A gardner sets 180 plants in row. Each row contains the same number of plants. If there were 40 more plants in a each row the gardner would need 6 fewer rows. How many rows are there ?

A) 5
B) 6
C) 8
D) 9
E) No solution

There are seven empty seat on a bus and four people entre . In how many ways can be seated ?

A) 3024
B) 840
C) 720
D) 120
E) 24

John traveled 80% of the way from Yellow-town to Green-fields by train at an average speed of 80 miles per hour. The rest of the way John traveled by car at an average speed of v miles per hour. If the average speed for the entire trip was 60 miles per hour, what is v in miles per hour?
(a) 30
(b) 40
(c) 50
(d) 55
(e) 70

Out of 18 points in a plane ,no three are in same straight line except five points which are collinear. The number of triangles, which can be formed by joining them is

A) 816
B) 806
C) 800
D) 750
E) 676

A can fill a tank in 15 minutes and B can fill it in 30 minutes. C can make it empty@12 Ltr/min. If all 3 are open at same time when tank was empty. After 30 minutes tank becomes completely empty find capacity of tank.

a) 360
b) 270
c) 180
d) 120
e) 90

According to a panel of health officials, there has been a great deal of confusion in the medical profession about whether obesity is a biological disorder posing serious health risks or a condition more related to appearance than to health.
(A) about whether obesity is a biological disorder posing serious health risks or a condition more related to appearance than to
(B) with respect to obesity being a biological disorder posing serious health risks or if it is related more to appearance than
(C) over whether or not obesity is a biological disorder posing serious health risks or it is a condition more related to appearance than to
(D) about obesity and if it is a biological disorder posing serious health risks or a condition related to appearance more than to
(E) concerning whether obesity is a biological disorder posing serious health risks or it is a condition related to appearance more than

At a fruit stand yesterday, the price of each apple was $0.10 more than the price of each orange. What was the total revenue from the sale of oranges at the fruit stand yesterday?

(1) The number of oranges sold at the fruit stand yesterday was 5 more than the number of apples.
(2) The total revenue from the sale of apples at the fruit stand yesterday was $15.00