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# A survey is done in am office among 120 people to know how many of the

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Intern
Joined: 21 May 2016
Posts: 27
A survey is done in am office among 120 people to know how many of the  [#permalink]

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Updated on: 14 Aug 2018, 03:15
1
8
00:00

Difficulty:

95% (hard)

Question Stats:

34% (13:49) correct 66% (02:00) wrong based on 210 sessions

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A survey is done in am office among 120 people to know how many of them like their boss. 50 people not only like their boss but also admire him. If an employee is selected at random, is the probability that he neither likes his boss nor admires him less than 20%?
1. 10 employees do not like their boss
2. 80% of the employees admire their boss

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Originally posted by a70 on 30 Jul 2018, 23:58.
Last edited by a70 on 14 Aug 2018, 03:15, edited 1 time in total.
Math Expert
Joined: 02 Aug 2009
Posts: 7095
A survey is done in am office among 120 people to know how many of the  [#permalink]

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31 Jul 2018, 00:14
1
1
ankit2601 wrote:
A survey is done in am office among 120 people to know how many of them like their boss. 50 people not only like their boss but also admire him. If an employee is selected at random, is the probability that he neither likes his boss nor admires him less than 20%?
1. 10 employees do not like their boss
2. 80% of the employees admire their boss

SO 4 groups -
1) Only Like boss - L
2) Only admire boss - A
3) both - B
4) neither - N

L+A+B+N=120
B=50

IS N< 20% 0r 20*120/100 that is ' Is N < 24?"

1. 10 employees do not like their boss
so A+N=10 therefore $$\leq{10}$$
ans YES
suff

2. 80% of the employees admire their boss
so remaining 20 5 can be all who do not like also, that is L is sub set of A, then N=20%....NO
if even any one of remaining likes then N<20%.. YES
insuff

A
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Posts: 165
Location: India
Concentration: Operations, Strategy
WE: Engineering (Other)
Re: A survey is done in am office among 120 people to know how many of the  [#permalink]

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09 Aug 2018, 07:53
chetan2u wrote:
ankit2601 wrote:
A survey is done in am office among 120 people to know how many of them like their boss. 50 people not only like their boss but also admire him. If an employee is selected at random, is the probability that he neither likes his boss nor admires him less than 20%?
1. 10 employees do not like their boss
2. 80% of the employees admire their boss

SO 4 groups -
1) Only Like boss - L
2) Only admire boss - A
3) both - B
4) neither - N

L+A+B+N=120
B=50

IS N< 20% 0r 20*120/100 that is ' Is N < 24?"

1. 10 employees do not like their boss
so B+N=10 therefore $$\leq{10}$$
ans NO
suff

2. 80% of the employees admire their boss
so remaining 20 5 can be all who do not like also, that is L is sub set of A, then N=20%....YES
if even any one of remaining likes then N<20%
insuff

A

Sir,
i couldn't understand how it could be B+N =10, IMO it should be A+N =10
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Math Expert
Joined: 02 Aug 2009
Posts: 7095
Re: A survey is done in am office among 120 people to know how many of the  [#permalink]

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09 Aug 2018, 08:31
Raksat wrote:
chetan2u wrote:
ankit2601 wrote:
A survey is done in am office among 120 people to know how many of them like their boss. 50 people not only like their boss but also admire him. If an employee is selected at random, is the probability that he neither likes his boss nor admires him less than 20%?
1. 10 employees do not like their boss
2. 80% of the employees admire their boss

SO 4 groups -
1) Only Like boss - L
2) Only admire boss - A
3) both - B
4) neither - N

L+A+B+N=120
B=50

IS N< 20% 0r 20*120/100 that is ' Is N < 24?"

1. 10 employees do not like their boss
so B+N=10 therefore $$\leq{10}$$
ans NO
suff

2. 80% of the employees admire their boss
so remaining 20 5 can be all who do not like also, that is L is sub set of A, then N=20%....YES
if even any one of remaining likes then N<20%
insuff

A

Sir,
i couldn't understand how it could be B+N =10, IMO it should be A+N =10

Thanks it was a typing error. Edited
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Intern
Joined: 03 Sep 2015
Posts: 18
Re: A survey is done in am office among 120 people to know how many of the  [#permalink]

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26 Aug 2018, 10:49
Hi Chetan

Can you please explain the answer again. How have you used the 'not like' scenario to derive the answer.
Intern
Joined: 09 Apr 2017
Posts: 24
Location: Nepal
Concentration: Finance, Entrepreneurship
WE: Information Technology (Computer Software)
A survey is done in am office among 120 people to know how many of the  [#permalink]

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29 Aug 2018, 06:18
chetan2u wrote:
ankit2601 wrote:
A survey is done in am office among 120 people to know how many of them like their boss. 50 people not only like their boss but also admire him. If an employee is selected at random, is the probability that he neither likes his boss nor admires him less than 20%?
1. 10 employees do not like their boss
2. 80% of the employees admire their boss

SO 4 groups -
1) Only Like boss - L
2) Only admire boss - A
3) both - B
4) neither - N

L+A+B+N=120
B=50

IS N< 20% 0r 20*120/100 that is ' Is N < 24?"

1. 10 employees do not like their boss
so A+N=10 therefore $$\leq{10}$$
ans NO
suff

2. 80% of the employees admire their boss
so remaining 20 5 can be all who do not like also, that is L is sub set of A, then N=20%....YES
if even any one of remaining likes then N<20%
insuff

A

Shldnt the answer be yes, the probability is less than 20% instead of No as written.
Intern
Joined: 30 Aug 2018
Posts: 6
Re: A survey is done in am office among 120 people to know how many of the  [#permalink]

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21 Nov 2018, 10:32
Hi guys , one query : can’t we do it like : probability of neither liking nor admiring =1- (50C1/120C1) as 50 people not only like but also admire the boss

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Re: A survey is done in am office among 120 people to know how many of the &nbs [#permalink] 21 Nov 2018, 10:32
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