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?
Which of the following best completes the passage below?
In a survey of job applicants, two-fifths admitted to being at least a little dishonest. However, the survey may underestimate the proportion of job applicants who are dishonest, because____.
A) some dishonest people taking the survey might have claimed on the survey to be honest
B) some generally honest people taking the survey might have claimed on the survey to be dishonest
C) some people who claimed on the survey to be at least a little dishonest may be very dishonest
D) some people who claimed on the survey to be dishonest may have been answering honestly
E) some people who are not job applicants are probably at least a little dishonest
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
What is the hundreds digit of the integer z?
(1) 10z = 93,120
(2) z rounded to the nearest hundred is 9,300.
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.
The total cost of an office dinner was shared equally by k of the n employees who attended the dinner. What was the total cost of the dinner?
(1) Each of the k employees who shared the cost of the dinner paid $19.
(2) If the total cost of the dinner had been shared equally by k + 1 of the n employees who attended the dinner, each of the k + 1 employees would have paid $18.
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.
The underlying physical principles that control the midair gyrations of divers and gymnasts are the same as the body orientation controlling astronauts in a weightless environment.
(A) as the body orientation controlling
(B) as the body orientation which controls
(C) as those controlling the body orientation of
(D) ones to control the body orientation of
(E) ones used in controlling the body orientation of
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 ratio of x to y?
(1) x is 4 more than twice y.
(2) The ratio of 0.5x to 2y is 3 to 5.
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.
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
p is an integer; n is an integer; and p/n is an integer. Is p/n odd?
(1) p is divisible by 4.
(2) n is divisible by 4.
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.
Scientists from the Cytolab team are conducting experiments to see whether proteins will prematurely turn into solids in silk-producing animals under laboratory conditions.
A. to see whether proteins will prematurely turn into solids
B. to see whether proteins should prematurely turn into solids
C. to see if proteins will prematurely turn into solids
D.that see if proteins would prematurely turn into solids
E. that see whether proteins would prematurely turn into solids
Despite protests from some share holders, committee members have ordered the levels of department head involvement to be curtailed and that the advertising program be undertaken.
A. the levels of department head involvement to be curtailed and that the advertising program be
B. the levels of department head involvement to be curtailed and that the advertising program being
C. the measure of levels of department head involvement to be curtailed and the advertising program to be
D. the levels of department head involvement to be curtailed with their advertising program being
E. that the levels of department head involvement be curtailed and the advertising program be
By what percent has the price of an overcoat been reduced?
(1) The original price was $380.
(2) The original price was $50 more than the reduced price.
Although many brands of gasoline are sold on Haibei island, gasoline companies there get all of the refined gasoline they sell from Haibei seaport’s only storage tank, which is always refilled with the same quality of gasoline. Therefore, the brands of gasoline for sale on Haibei may be different in name and price, but there are identical in quality.
The conclusion drawn above depends on which of the following assumptions?
a) Consumers are usually unaware of variations in the quality of the gasoline they buy unless those variations are announced by the gasoline companies.
b) When tankers make gasoline delivery at Haibei’s seaport, the storage tank an Haibei always receives the same quality of gasoline as that in the preceding delivery.
c) There is a wide variation in the price at which the deferent brands of gasoline on Haibei are sold.
d) If any gasoline company on Haibei alters the quality of its gasoline before sale, the other gasoline companies also use method before sale that result in the same change in the quality of their gasoline.
e) The gasoline storage tank on Haibei’s large enough to meet the needs of all of Haibei’s different gasoline companies.
Does 2m ? 3n = 0
(1) m ?0
(2) 6m = 9n
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.
Unlike the wholesale price of uncut diamonds, the wholesale price of other uncut gemstones has fallen considerably in the last year. Thus, although the retail price of jewelry made with gemstones other than diamonds has not yet fallen, it will inevitably fall. Which of the following, if true, most seriously weakens the argument above?
A) The cost of processing uncut gemstones has increased during the last year.
B) The wholesale price of uncut diamonds is typically higher than that of the same volume of other uncut gemstones.
C) The operating costs of the average retail jewelry store have remained constant during the last year.
D) The cost of mining gemstones other than diamonds has increased in the last year.
E) Changes in retail prices always lag behind changes in wholesale prices.
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