## A Hard GMAT Probability Question by aoh003

A man chooses an outfit from 3 different shirts, 2 different pairs of shoes, and 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?the answer is (1/3)^4

I’m not sure how to reach this answer from the question. Could someone explain?

## Tough Math Questions by Aaron

In the xy-plane, does the line with equation y=3x+2 contain the point (r,s)?

1) (3r+2-s)(4r+9-s)=0
2) (4r-6-s)(3r+2-s)=0

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.

## GMAT Question of The Day

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.

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## Which of the following can not be an integer

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

## GMAT Question of the Day : Time and Work

Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 30 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?

A) 80
B) 96
C) 160
D) 192
E) 240

## 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

## 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

## GMAT Question of the Day : Word Problem

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

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