Question for which I had no answer.

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

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GMAT Question of the Day: Inequalities Data Sifficiency

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.

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GMAT Question of the Day : Number Theory

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

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GMAT Question of the Day : Inequalities

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

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GMAT Question of the Day: Number Theory

Q is a prime number bigger than 10. What is the smallest positive number (except 1) that 3Q can be divided by equally?

a) 3Q.
b) Q
c) 3
d) Q+3
e) 2Q

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The least possible value of the actual area of the square region

The sides of a square region, measured to the nearest centimeter, are 6 centimeters long. The least possible value of the actual area of the square region is

A) 36.00 sq cm

B) 35.00 sq cm

C) 33.75 sq cm

D) 30.25 sq cm

E) 25.00 sq cm

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GMAT Question of the Day: Number Theory

For how many two digit positive numbers will tripling the tens digit give us a two digit number that is triple the original. (Contributed by: Srinivasan, Hyderabad)
A) None
B) 1
C) 2
D) 3
E) 4

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If . represents one of the operations.

If . represents one of the operations +, -, and x, is k. (l+m)=(k.l) + (k.m) for all numbers k, l, and m?

(1) k.1 is not equal to 1.k for some numbers k.
(2) . represents subtraction

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