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# Of the 200 candidates who were interviewed for a position at a call

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Math Expert
Joined: 02 Sep 2009
Posts: 58327
Of the 200 candidates who were interviewed for a position at a call  [#permalink]

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14 Mar 2016, 08:13
00:00

Difficulty:

55% (hard)

Question Stats:

65% (02:26) correct 35% (02:50) wrong based on 182 sessions

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Of the 200 candidates who were interviewed for a position at a call center, 100 had a two-wheeler, 70 had a credit card and 140 had a mobile phone. 40 of them had both, a two-wheeler and a credit card, 30 had both, a credit card and a mobile phone and 60 had both, a two wheeler and mobile phone and 10 had all three. How many candidates had none of the three?

A. 0
B. 10
C. 18
D. 20
E. 25

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Joined: 09 Jun 2015
Posts: 91
Re: Of the 200 candidates who were interviewed for a position at a call  [#permalink]

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14 Mar 2016, 08:23
Bunuel wrote:
Of the 200 candidates who were interviewed for a position at a call center, 100 had a two-wheeler, 70 had a credit card and 140 had a mobile phone. 40 of them had both, a two-wheeler and a credit card, 30 had both, a credit card and a mobile phone and 60 had both, a two wheeler and mobile phone and 10 had all three. How many candidates had none of the three?

A. 0
B. 10
C. 18
D. 20
E. 25

Apply the formula for n(AUBUC)
You get 190.
200-190 = 10
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Posts: 25
Location: India
Concentration: General Management, Entrepreneurship
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Of the 200 candidates who were interviewed for a position.......  [#permalink]

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05 Feb 2017, 06:32
Of the 200 candidates who were interviewed for a position at a call center, 100 had a two-wheeler, 70 had a credit card and 140 had a mobile phone. 40 of them had both, a two-wheeler and a credit card, 30 had both, a credit card and a mobile phone and 60 had both, a two wheeler and mobile phone and 10 had all three. How many candidates had none of the three?
(1) 0
(2) 20
(3) 10
(4) 18
(5) 05
Math Expert
Joined: 02 Sep 2009
Posts: 58327
Re: Of the 200 candidates who were interviewed for a position at a call  [#permalink]

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05 Feb 2017, 06:35
praveen27sinha wrote:
Of the 200 candidates who were interviewed for a position at a call center, 100 had a two-wheeler, 70 had a credit card and 140 had a mobile phone. 40 of them had both, a two-wheeler and a credit card, 30 had both, a credit card and a mobile phone and 60 had both, a two wheeler and mobile phone and 10 had all three. How many candidates had none of the three?
(1) 0
(2) 20
(3) 10
(4) 18
(5) 05

Merging topics. Please refer to the discussion above.
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Re: Of the 200 candidates who were interviewed for a position at a call  [#permalink]

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05 Feb 2017, 22:02
Hi Bunuel,

I got the correct answer by chance. I did not get the meaning of the question correctly and I seem to be dissatisfied by the approach I followed.
Can you please point out mistake in my approach and/or suggest a better,more efficient way?

total candidates = 200.

So, A U B U C = 200.
100 = A ; 70= B; 140 = C.
40 = A n B (using n to denote intersection)
30 = B n C
60 = A n C
10 = A n B n C

Using AUBUC = A + B + C - {A n B + B n C + C n A} + A n B n C

I get 200 = 190. So I guess there is a gap of 10 somewhere. So let me go with 10.

Bunuel wrote:
praveen27sinha wrote:
Of the 200 candidates who were interviewed for a position at a call center, 100 had a two-wheeler, 70 had a credit card and 140 had a mobile phone. 40 of them had both, a two-wheeler and a credit card, 30 had both, a credit card and a mobile phone and 60 had both, a two wheeler and mobile phone and 10 had all three. How many candidates had none of the three?
(1) 0
(2) 20
(3) 10
(4) 18
(5) 05

Merging topics. Please refer to the discussion above.
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2817
Re: Of the 200 candidates who were interviewed for a position at a call  [#permalink]

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12 Mar 2018, 16:38
Bunuel wrote:
Of the 200 candidates who were interviewed for a position at a call center, 100 had a two-wheeler, 70 had a credit card and 140 had a mobile phone. 40 of them had both, a two-wheeler and a credit card, 30 had both, a credit card and a mobile phone and 60 had both, a two wheeler and mobile phone and 10 had all three. How many candidates had none of the three?

A. 0
B. 10
C. 18
D. 20
E. 25

We can create the equation:

Total = two-wheeler + credit card + mobile phone - doubles + triple + neither

200 = 100 + 70 + 140 - (40 + 30 + 60) + 10 + n

200 = 310 - 130 + 10 + n

200 = 190 + n

10 = n

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Joined: 19 Mar 2018
Posts: 1
Re: Of the 200 candidates who were interviewed for a position at a call  [#permalink]

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30 Mar 2018, 07:00
Bunuel wrote:
40 of them had both, a two-wheeler and a credit card, 30 had both, a credit card and a mobile phone and 60 had both, a two wheeler and mobile phone and 10 had all three. How many candidates had none of the three?

Question: how do you realize when the statement is about exactly 2 overlapping sets, and when about at least two?
I find it a bit difficult sometimes. Of course I'm not talking about obvious examples, but like the one here, I took it as "exactly", just to realize later that Formula 2 give result that it's not among the answers, so then I had to redo my math with the other formula.
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Re: Of the 200 candidates who were interviewed for a position at a call  [#permalink]

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30 Mar 2018, 07:24
wengiel wrote:
Question: how do you realize when the statement is about exactly 2 overlapping sets, and when about at least two?
I find it a bit difficult sometimes. Of course I'm not talking about obvious examples, but like the one here, I took it as "exactly", just to realize later that Formula 2 give result that it's not among the answers, so then I had to redo my math with the other formula.

hey wengiel ,

Welcome to GMATClub

Basically you are looking for this link.

If you are not given exactly two, don't assume. More details in the link I shared.
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Re: Of the 200 candidates who were interviewed for a position at a call   [#permalink] 30 Mar 2018, 07:24
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