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

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Joined: 21 May 2016
Posts: 11
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, 04:15
2
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Difficulty:

95% (hard)

Question Stats:

31% (40:53) correct 69% (01:57) wrong based on 67 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 31 Jul 2018, 00:58.
Last edited by a70 on 14 Aug 2018, 04:15, edited 1 time in total.
Math Expert
Joined: 02 Aug 2009
Posts: 6531
Re: A survey is done in am office among 120 people to know how many of the  [#permalink]

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31 Jul 2018, 01:14
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
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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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Joined: 20 Feb 2017
Posts: 137
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, 08:53
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: 6531
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, 09:31
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
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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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Re: A survey is done in am office among 120 people to know how many of the &nbs [#permalink] 09 Aug 2018, 09:31
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