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?
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.
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.
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
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
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
What is the value of (4x^3-x)/(2x+1)(6x-3), when x=9999 ?
A) 999999
B) 111111
C) 33333
D) 3333
E) 333
A crate measures 8 feet by 16 feet by 24 feet on the inside. A stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate on at least one of its six sides. what is the radius, in feet, of the pillar with the largest volume that could still fit in the crate? (Contributed by: EastHaven)
a) 4
b) 8
c) 12
d) 16
e) 24
If one gallon of water equals 231 cubic inches, approximately how much water will fill a cylindrical vase 7 inches in diameter and 10 inches high ?( assume PI=22/7)
A) 1.7 gallons
B) 2.1 gallons
C) 3.3 gallons
D) 5.3 gallons
E) 6.7 gallons
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
I) If x is in S, then 1/x is in S.
II) If both x and y are in S, then so is x + y.
Is 3 in S?
(1) 1/3 is in S.
(2) 1 is in S.
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.
N and R are integers. If N is divisible by 10^R, but cannot be divisible by 10^(R+1), R=?
1). N is divisible by 2^5, but cannot be divisible by 2^6.
2). N is divisible by 5^6, but cannot be divisible by 5^7.
In the diagram pictured pictured above, BA is tangent to circle O at point A. CD is perpendicular to OA at C. Which of the following statements is (are) true ?
I. Triangle ODC and OBA are similar.
II. OA:DC=OB:AB
III. AB is twice as long as CD.
A) I only
B) III only
C) I and II, only
D) II and III, only
E) None of above combinations
What is the median number of employees assigned per project for the projects at Company Z?
(1) 25 percent of the projects at Company Z have 4 or more employees assigned to each project.
(2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to each project.
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.
Five cards are to be selected at random from 1 to 10 cards numbered 1 to 10. How many ways are possible that the average of five numbers selected will be greater than the median ?
If ((t^2)-1)/(t-1)=2, then what value(s) may t have?
A) 1 only
B) -1 only
C) 1 or -1
D) no values
E) an infimite number of values
For every positive integer ‘n’ the h(n) is defined to be product of all even integer from 2 to n inclusive. If ‘P’ is the smallest prime factor of h(100)+1, then P is between ?
a) 3 and 10
b) 10 and 20
c) 20 and 30
d) 30 and 40
e) 40 and above.
A certain junior class has 1000 students and a certain senior class has 800 students. Among these students, there are 60 siblings pairs, each consisting of 1 junior and 1 senior. If 1 student is to be selected at random from each class, what is the probability that the 2 students selected will be a sibling pair?
a) 3/40,000
b) 3/20,000
c) 1/32
d) 1/20,000
e) None of these
Please post the explanations if you know.
The curved surface area of a cylinder is 24/7 times the total flat surface area(top +bottom).If the biggest possible cone is cut out from the cylinder, what is the ratio of the curved surface area of the cone to its flat surface area?
A) 24/7
B) 25/7
C) 27/7
D) 29/7
E) 30/7
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