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# A certain business printer can print 40 characters per

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Manager
Joined: 12 Feb 2007
Posts: 167

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16 Mar 2007, 15:25
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9. A certain business printer can print 40 characters per second, which is 4 times as fast as an average printer. If an average printer can print 5 times as fast as an electric typewriter, how many characters per minute can an electric typewriter print?
(A) 2
(B) 32
(C) 50
(D) 120
(E) 600

A bus trip of 450 miles would have taken 1 hour less if the average speed S for the trip had been greater by 5 miles per hour. What was the average speed S, in miles per hour, for the trip?
(A) 10
(B) 40
(C) 45
(D) 50
(E) 55

15. When the stock market opened yesterday, the price of a share of stock X was 10.5. When the market closed, the price was 11.4 . Of the following, which is closest to the percent increase in the price of stock X?
(A) 0.5%
(B) 1.0%
(C) 6.7%
(D) 7.1%
(E) 7.5%

19. If M and N are positive integers that have remainders of 1 and 3, respectively, when divided by 6, which of the following could NOT be a possible value of M+N?
(A) 86
(B) 52
(C) 34
(D) 28
(E) 10

20. The R students in a class agree to contribute equally to buy their teacher a birthday present that costs y dollars. If x of the students later fail to contribute their share, which of the following represents the additional number of dollars that each of the remaining students must contribute in order to pay for the present?
(A) y/R
(B) y/(R-x)
(C) xy/(R-x)
(D) xy/R(R-x)
(E) y/R(R-x)

Last edited by Tuneman on 16 Mar 2007, 16:19, edited 2 times in total.

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Director
Joined: 13 Mar 2007
Posts: 542

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Schools: MIT Sloan

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16 Mar 2007, 15:56

B - 40c / sec
A - 10c/sec
T - 2c/sec => 120c/min

Bus trip problem :

Working backwards,

If r = 45, t = 450/45 = 10hrs

now if new R = 45 + 5 = 50, new time = 450/50 = 9hrs

Satisfies, hence C

Stock market - well the values are missing !!

Can be deduced that:

M = 6n+1 (n is an integer > 0)
N = 6k + 3 (k is an integer > 0)

so (M + N) = 6(n +k) + 4, in other words (6L + 4) - L is an integer > 0

From the answer choices, only A violates this condition.

20) initial - y/r

new amt = y/r-x

so additional per student => y/r-x - y/r => xy/r(r-x)

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Manager
Joined: 12 Feb 2007
Posts: 167

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16 Mar 2007, 16:22
Thanks for those I put in the stock market numbers.

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16 Mar 2007, 16:22
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