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

If y is the smallest positive integer such that 3; 150 multiplied by y is the square of an integer, then y must be

A) 2
B) 5
C) 6
D) 7
E) 14

Of the 500 business people surveyed, 78 percent said that they use their laptop computers at home, 65 percent said that they use them in hotels, and 52 percent said that they use them both at home and in hotels. How many of the business people surveyed said that they do not use their laptop computers either at home or in hotels?

A) 45
B) 55
C) 65
D) 95
E) 130

If n is a positive integer and the product of all the integers from 1 to n, inclusive, is divisible by 990, what is the least possible value of n?

A) 8
B) 9
C) 10
D) 11
E) 12

The interior of a rectangular carton is designed by a certain manufacturer to have a volume of x cubic feet and a ratio of length to width to height of 3:2:2. In terms of x, which of the following equals the height of the carton, in feet?

A. ³?x

B. ³?[(2x)/3]

C. ³?[(3x)/2]

D. (2/3) ³?x

E. (3/2) ³?x

Three of the four vertices of a rectangle in the xy-coordinate plane are (-3, 10), (2, 10), and (2, 1). What is the fourth vertex?

A) (-3, 1)
B) (-3, 2)
C) (-2, 10)
D) (2, -3)
E) (3, 10)

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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the number of ways in which four men and four women can be seated at round table so that no two womwn may be together is ?

A) 576
B) 500
C) 144
D) 48
E) 16

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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

a) –196
b) –1
c) 400
d) 6
e) 202

(Asked by  vietlonewolf)

In the Excel Manufacturing Company, 46 percent of the employees are men. If 60 percent of the employees are unionized and 70 percent of these are men, what percent of the non-union employees are women?

(A) 90%

(B) 87.5%

(C) 66.7%

(D) 50%

(E) 36%

If n is an integer divisible by 6 but not by 4 then which of the following can not be an integer ?

A) n/10
B) n/12
C) n/2
D) n/6
E) None of these

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

Company S produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month,2/3 were basic and the rest were deluxe. If it takes 7/5 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?

A) 7/17
B) 14/31
C) 7/15
D) 17/35
E) 1/2

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

AMOUNT OF BACTERIA PRESENT

Time Amount
1:00 P.M. 10.0 grams
4:00 P.M. x grams
7:00 P.M. 14.4 grams

Data for a certain biology experiment are given above. If the amount of bacteria present increased by the same fraction during each of the two 3-hour periods shown, how many grams of bacteria were present at 4:00 P.M.?

A. 12.0

B. 12.1

C. 12.2

D. 12.3

E. 12.4

A man lends $3000 for 3 years. A part he lends at 6% and the rest at 5% per annum and obtained a simple interest of $160 in a year. How much is invested at 6% per annum ?

A) $500
B) $800
C) $1000
D) $1500
E) $2000