1]A certain portfolio consisted of 5 stocks, priced at $20, $35,
$40, $45 and $70, respectively. On a given day, the price of
one stock increased by 15%, while the price of another
decreased by 35% and the prices of the remaining three
remained constant. If the average price of a stock in the
portfolio rose by approximately 2%, which of the following
could be the prices of the shares that remained constant?
A) 20, 35, 70
B) 20, 45, 70
C) 20, 35, 40
D) 35, 40, 70
E) 35, 40, 45
2] A guidance counselor is planning schedules for 30 students.
Sixteen students say they want to take French, 16 want to
take Spanish, and 11 want to take Latin. Five say they want to take both French and Latin, and of these, 3 wanted to take Spanish as well. Five want only Latin, and 8 want only Spanish. How many students want French only?
3]If 4x - 3y = 24, then what is the value of 2y ? 8(x / 3)?
(1)-16
(2)-12
(3)-8
(4)-6
(5)-4
4]A natural number is divided into two positive unequal parts
such that the ratio of the original number to the larger (divided)
part is equal to the ratio of the larger part to the smaller part.
What is the value of this ratio?
(51/2 − 1)
(51/2 + 1) / 2
(51/2 + 1) / 4
(51/2 + 1) / (51/2 − 1)
(51/2 + 3) / (51/2 − 1)
5] A sequence of real numbers is defined by the rule:
a(n) = 4 − 3 a(2 −n).
What is the value of a(0)?
0
1
4/3
2
3
Please also provide the explanation also...
[/list]
$40, $45 and $70, respectively. On a given day, the price of
one stock increased by 15%, while the price of another
decreased by 35% and the prices of the remaining three
remained constant. If the average price of a stock in the
portfolio rose by approximately 2%, which of the following
could be the prices of the shares that remained constant?
A) 20, 35, 70
B) 20, 45, 70
C) 20, 35, 40
D) 35, 40, 70
E) 35, 40, 45
2] A guidance counselor is planning schedules for 30 students.
Sixteen students say they want to take French, 16 want to
take Spanish, and 11 want to take Latin. Five say they want to take both French and Latin, and of these, 3 wanted to take Spanish as well. Five want only Latin, and 8 want only Spanish. How many students want French only?
3]If 4x - 3y = 24, then what is the value of 2y ? 8(x / 3)?
(1)-16
(2)-12
(3)-8
(4)-6
(5)-4
4]A natural number is divided into two positive unequal parts
such that the ratio of the original number to the larger (divided)
part is equal to the ratio of the larger part to the smaller part.
What is the value of this ratio?
(51/2 − 1)
(51/2 + 1) / 2
(51/2 + 1) / 4
(51/2 + 1) / (51/2 − 1)
(51/2 + 3) / (51/2 − 1)
5] A sequence of real numbers is defined by the rule:
a(n) = 4 − 3 a(2 −n).
What is the value of a(0)?
0
1
4/3
2
3
Please also provide the explanation also...
[/list]
