gmatttt preppppp - 4 random questions ..thanks;)

[charmaine]

43.
A college admissions officer predicts that 20 percent of the students who are accepted will not attend the college. According to this prediction, how many students should be accepted to achieve a planned enrollment of x students?

(A) 1.05x
(B) 1.1x
(C) 1.2x
(D) 1.25x
(E) 1.8x

95.
The total of Company C's assets in 1994 was 300 percent greater than the total in 1993, which in turn was 400 percent greater than the total in 1992. If the total of Company C's assets in 1992 was N dollars, which of the following represents the total of Company C's assets, in dollars, in 1994 ?

(A) 7N
(B) 8N
(C) 9N
(D) 12N
(E) 20N

112.
For a certain race, 3 teams were allowed to enter 3 members each. A team earned 6 - n points whenever one of its members finished in nth place, where 1 <= n <= 5. There were no ties, disqualifications, or withdrawals. If no team earned more than 6 points, what is the least possible score a team could have earned?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4

127.
In May, Xiang sold 15 used cars. For these 15 cars, the range of the selling prices was $15,000 and the lowest selling price was $4,500. In June, Xiang sold 10 used cars. For these 10 cars, the range of the selling prices was $16,500 and the lowest selling price was $6,100. What was the range of the selling prices of the 25 used cars sold by Xiang in May and June?

(A) $15,600
(B) $15,750
(C) $16,820
(D) $18,100
(E) $19,200

ans. 43. D. 95. E. 112. D. 127. D
i really appreciate it thanks

[sumithshah]

1st one

20% accepted dont enroll so 80% do enroll

We know 80% accepted = x

so we can find accepted from here

2nd one :
92 : N
93 : N + 400%N
94 : 300% of 93

= 500% * 400*n = 20N

3r one

May : Range is given and lowest is given, find the highest for may
June : Do the same. If you do everything correctly, you'll see May has the lowest SP and June has the Highest SP. Subtract to get answer

[charmaine]

hi ....i hv a question ..i stilll do not know how to came up with question one... and for the 2nd question why isit x 500%?
sorry ..i am abit slow with math ...thanks for the patience:)

[charmaine]

hi ....i hv a question ..i stilll do not know how to came up with question one... and for the 2nd question why isit x 500%?
sorry ..i am abit slow with math ...thanks for the patience:)

[scoobydooby]

2nd one:

1992: N
1993: N+4N=5N
1994: 5N+3(5N)=20N

(400% = 4 times, 300%= 3 times)

[Morgoth]

43.
A college admissions officer predicts that 20 percent of the students who are accepted will not attend the college. According to this prediction, how many students should be accepted to achieve a planned enrollment of x students?

(A) 1.05x
(B) 1.1x
(C) 1.2x
(D) 1.25x
(E) 1.8x

80% planned enrollment = x

planned enrollment = 100x/80 = 10x/8 = 1.25x

95.
The total of Company C's assets in 1994 was 300 percent greater than the total in 1993, which in turn was 400 percent greater than the total in 1992. If the total of Company C's assets in 1992 was N dollars, which of the following represents the total of Company C's assets, in dollars, in 1994 ?

(A) 7N
(B) 8N
(C) 9N
(D) 12N
(E) 20N

1992 = N
1993 = 4N + N = 5N
1994 = 5N + 3*5N = 5N + 15N = 20N

112.
For a certain race, 3 teams were allowed to enter 3 members each. A team earned 6 - n points whenever one of its members finished in nth place, where 1 <= n <= 5. There were no ties, disqualifications, or withdrawals. If no team earned more than 6 points, what is the least possible score a team could have earned?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4

3 teams, 5 positions
6-1 = 5 points
6-2 = 4 points
6-3 = 3 points
6-4 = 2 points
6-5 = 1 point

Total points for the entire event = 1+2+3+4+5 = 15 points

Maximum points per team = 6

Let other two teams take the maximum number of points = 6+6 = 12

Minimum number of points for the third team = 15-12 = 3

127.
In May, Xiang sold 15 used cars. For these 15 cars, the range of the selling prices was $15,000 and the lowest selling price was $4,500. In June, Xiang sold 10 used cars. For these 10 cars, the range of the selling prices was $16,500 and the lowest selling price was $6,100. What was the range of the selling prices of the 25 used cars sold by Xiang in May and June?

(A) $15,600
(B) $15,750
(C) $16,820
(D) $18,100
(E) $19,200

May
Range = $15000
Lowest selling price = $4500
Highest selling price = 4500 + 15000 = $19500

June
Range = $16500
Lowest selling price = $6100
Highest selling price = 6100 + 16500 = $22600

May & June Combined
Lowest selling price = $4500
Highest selling price = $22600
Range = 22600 - 4500 = $18100