At a fruit stand yesterday, the price of each apple was $0.10 more than the price of each orange. What was the total revenue from the sale of oranges at the fruit stand yesterday?

(1) The number of oranges sold at the fruit stand yesterday was 5 more than the number of apples.
(2) The total revenue from the sale of apples at the fruit stand yesterday was $15.00

If x and y are positive, is x³ greater than y?(1) x^0.5 is greater than y
(2) x is greater than y

If the sequence x₁, x_2, x_{3, …,} x_n, … is such that x₁ = 3 and x_n+1 = 2x_n – 1 for n ≥ 1, then x₂₀ – x₁₉ =

A. 2¹⁹

B. 2²⁰

C. 2²¹

D. 2²⁰ - 1

E. 2²¹ - 1

The ratio of the number of red cars in a certain parking lot to the number of black cars is 3 to 8.  If there are 72 black cars in the lot, how many red cars are there in the lot?

 

A.     11

B.     15

C.     24

D.     27

E.      32

For me the answer should be D, but checking a solution paper that I found, the answer is C. Maybe I am not considering some information. Please does anybody could provide me a hint. I appreciate. Thanks

A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office.  In how many ways can the company assign 3 employees to 2 different offices?

 

A.     5

B.     6

C.     7

D.     8

E.      9

From a group of 3 boys and 3 girls, 4 children are to be randomly selected. What is the probability that equal numbers of boys and girls will be selected?

Â

A. 1/10

B. 4/9

C. 1/2

D. 3/5

E. 2/3

At a certain company, each employee has a salary grade s that is at least 1 and at most 5.  Each employee receives an hourly wage p, in dollars, determined by the formula p = 9.50 + 0.25(s – 1).  An employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 1?

 

A.     $0.50

B.     $1.00

C.     $1.25

D.     $1.50

E.      $1.75

If an integer n is to be chosen at random from the integers 1 to 96, inclusive, what is the probability that n(n + 1)(n+2) will be divisible by 8?

A. 1/4
B. 3/8
C. 1/2
D. 5/8
E. 3/4

If n is an integer and n is between 100 and 200, what´s the value of n?

(1) n/36 is an odd integer

(2) n/45 is an even integer

If x, y, and k are positive numbers such that (X/(X+Y))(10) + (Y/(X+Y))(20)=k and if x is less than y, which of the following could be the value of k?
A. 10
B. 12
C. 15
D.  18
E.  30

A string of 10 lightbulbs is wired in such a way that if any individual lightbulb fails, the entire string fails. If for each individual lightbulb the probability of failing during time period T id 0.06, what is the probability that the string of lightbulbs will fail during time period T?

A.0.06

B.(0.06)^10

C.1-(0.06)^10

D.(0.94)^10

E.1-(0.94)^10

If p.q and r are positive integers greater than 1, and p and q are factors of r, which of the following must be the factor of r^pq?

I. p+q
II. q^p
III. p^2 * q^2

A. I only

B. II only

C. III only

D. I and II

E. II and III

On Saturday morning, Malachi will begin a camping vacation and I will return home at the end of the first day on Which it rains. If on the first three days of the vacation the probability of rain on each day is 0.2, what is the probability that Malachi will return home at the end of the day on the following Monday?

A. 0.008

B. 0.128

C. 0.488

D. 0.512

E. 0.640

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

Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl; then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 8, what is the probability that one of the two cards drawn is numbered 5 ?

A. 1/6
B. 1/5
C. 1/3
D. 2/5
E. 2/3

There are 5 cars to be displayed in 5 parking spaces with all the cars facing the same direction. Of the 5 cars, 3 are red, 1 is blue and 1 is yellow. If the cars are identical except for color, how many different display arrangements of the 5 cars are possible?

(A) 20

(B) 25

(C) 40

(D) 60

(E) 125

A certain carton holds fewer than 50 books. What is the number of books in the carton?

Â

(1) The books in the carton can be divided into 3 stacks of X books each, with 2 books left over.

Â

(2) The books in the carton can be divided into Y stacks of 7 books each, with 2 books left over.

Â

Can anybody explain why the answer is E. Thanks

Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day.  If r percent of the store’s revenues from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of newspaper A, which of the following expresses r in terms of p?

Â

A.     100p / (125 – p)

B.     150p / (250 – p)

C.     300p / (375 – p)

D.     400p / (500 – p)

E.      500p / (625 – p)

Â

The annual rent collected by a corporation from a certain building was x percent more in 1998 than in 1997 and y percent less in 1999 than in 1998.  Was the annual rent collected by the corporation from the building more in 1999 than in 1997?

(1)   x is greater than y
 (2) (xy)/100 is less than x – y

P and Q are integers. If P is divisible by 10^Q and cannot be divisible by 10^(Q+1), Q=?

(1) P is divisible by 2^5, but is not divisible by 2^6

(2) P is divisible by 5^6, but is not divisible by 5^7

Can anybody explain why the answer is C. I appreciate

Last year the price per share of Stock X increased by k percent and the earnings per share of Stock X increased by m percent, where k is greater than m. By what percent did the ratio of price per share to earnings per share increase, in terms of k and m?Â

Â

A. k m %Â

B. (k – m) %Â

C. [100(k – m)] / (100 + k) %Â

D. [100(k – m)] / (100 + m) %Â

E. [100(k – m)] / (100 + k + m) %Â