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# A list of possible transplant patients contains people who can accept

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Joined: 02 Sep 2009
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A list of possible transplant patients contains people who can accept  [#permalink]

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28 Mar 2017, 04:52
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4
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Difficulty:

45% (medium)

Question Stats:

76% (02:26) correct 24% (02:54) wrong based on 101 sessions

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A list of possible transplant patients contains people who can accept A, B, or O positive type blood. 12 of the people can receive only type O blood, but 17 people can accept either type O or type B blood. All of the people who can accept type A blood can also accept type O, while anyone receiving either type A or type B blood cannot receive the other type. If there are 92 people on the list, and 14 of them can accept type A blood, how many people can only accept type B blood?

A. 63
B. 49
C. 35
D. 32
E. 26

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Re: A list of possible transplant patients contains people who can accept  [#permalink]

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29 Mar 2017, 03:16
Since anyone receiving either type A or type B blood cannot receive the other type ,
14 of them can accept type A blood+12 of the people can receive only type O blood+ 17 people can accept either type O or type B blood,
people who can only accept type B blood=92-(14+12+17)=49
Ans is B
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A list of possible transplant patients contains people who can accept  [#permalink]

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21 Sep 2017, 10:57
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TheMastermind wrote:
Can someone help me with a detailed explanation here, please?

abhimahna

Here's my 2 cents, I do not know if it'll help. This was a tricky question to think about, and I certainly hope it is not on the real GMAT!

Each group is its own subgroup and DO NOT overlap.

1. Only O: nothing else. They cannot accept any other blood.

2. A and O: Cannot accept B, so it cannot overlap with B or O (because they are unique).
--- What about only A? all of A can accept O

3. B and O: Cannot accept A, so it cannot overlap with A or O (because they are unique). Not all of B can accept O, so we need a new category to fill the remaining members
4. ---- What about only B? This is missing from our given information!

So, if you total them up: 12 + 14 + 17 = 43 thus far

92 - 43 = 49 missing participants!
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Re: A list of possible transplant patients contains people who can accept  [#permalink]

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24 Sep 2017, 11:09
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TheMastermind wrote:
Can someone help me with a detailed explanation here, please?

abhimahna

Hi TheMastermind ,

Here I go:

We are given :

Only O: 12 ==> They can not have A or O
A and O : 14 ==> They cannot have B + They cannot be Only O or Only A.
B or O: 17 ==> They can accept any of B or O. They cannot be A + they cannot be only O + they cannot be only B.

(I know B or O might be confusing you. If I am saying my body can accept either B or O blood group, that doesn't mean my body can accept only B or Only O.)

Total: 92

Therefore, Only B = Total - all the other groups given

==> Only B = 92 - (12+14+17) = 49.

Does that make sense?
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Re: A list of possible transplant patients contains people who can accept &nbs [#permalink] 24 Sep 2017, 11:09
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