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another DS problem

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by yalanand » Sun Feb 01, 2009 12:28 am
The editors of the Nobody-Reads-This Literary Review responded to all 650 submissions they received in May. They replied to each submission with either an acceptance letter, a kind rejection, an impersonal rejection, or a rude rejection. How many acceptance letters did they send out?

(1) They sent out ten times as many impersonal rejections as kind rejections, and twice as many kind rejections as rude rerjections.

(2) They sent out 50 fewer acceptances than kind rejections.
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Source: — Data Sufficiency |
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by ontopofit » Sun Feb 01, 2009 1:41 am
IMO C
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Re: another DS problem

by piyush_nitt » Sun Feb 01, 2009 1:45 am
yalanand wrote:The editors of the Nobody-Reads-This Literary Review responded to all 650 submissions they received in May. They replied to each submission with either an acceptance letter, a kind rejection, an impersonal rejection, or a rude rejection. How many acceptance letters did they send out?

(1) They sent out ten times as many impersonal rejections as kind rejections, and twice as many kind rejections as rude rerjections.

(2) They sent out 50 fewer acceptances than kind rejections.
IMO C

Let

A - Acceptance
KR - kind rejection
IR - impersonal rejection
RR - rude rejection

from stmt

A+KR+IR+RR = 650 - (1)

1. IR = 10 KR
KR = 2RR

IR = 10KR => IR = 10(2RR)

putting values in (1)

A + 2RR + 20 RR + RR = 650

A + 23 RR = 650 (2)

from above eqn we don't know the number of A or RR , hence INSUFF

2. A = KR - 50

INSUFF

combining 1 and 2 we get

A = KR - 50

but KR = 2RR (from stmt 1)

A = 2RR - 50

puttin value of A in (2)

25RR - 50 = 650

RR = 700/25

RR = 28

hence A = 6

IMO C
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