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100 consumers were surveyed about their use of two products, soap A an

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Math Expert
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Joined: 02 Sep 2009
Posts: 52390
100 consumers were surveyed about their use of two products, soap A an  [#permalink]

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New post 30 Apr 2017, 17:14
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A
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E

Difficulty:

  45% (medium)

Question Stats:

58% (01:03) correct 42% (01:00) wrong based on 116 sessions

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100 consumers were surveyed about their use of two products, soap A and soap B. How many of the consumers used only soap A?

(1) 70 of the consumers used soap B.

(2) 20 of the consumers used both soaps.

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Re: 100 consumers were surveyed about their use of two products, soap A an  [#permalink]

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New post 30 Apr 2017, 17:57
Bunuel wrote:
100 consumers were surveyed about their use of two products, soap A and soap B. How many of the consumers used only soap A?

(1) 70 of the consumers used soap B.

(2) 20 of the consumers used both soaps.



No information of customers who neither used A or B
Combining both

Let neither = 10 then
100= A+70-20+10
A=40-------> only A = 40-20=20

But if neither = 20
100= A+70-20+20
A=30-------> only A = 30-20=10

then both are insuff

Ans E
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Re: 100 consumers were surveyed about their use of two products, soap A an  [#permalink]

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New post 30 Apr 2017, 20:33
Minimum number of ppl using soap a is 20
Maximum number of ppl using soap a could be 30.Out of which we are not sure about the remaining 10. Whether they are users of soap a for certain or if they use neither a nor b.
So E


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Re: 100 consumers were surveyed about their use of two products, soap A an  [#permalink]

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New post 01 May 2017, 23:05
total = a + b - both + neither

stat 1 : no info about neither,,,not suff

stat 2 : no info about neither,,not suff

cmobined also not suff,,

ans E
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Re: 100 consumers were surveyed about their use of two products, soap A an &nbs [#permalink] 01 May 2017, 23:05
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100 consumers were surveyed about their use of two products, soap A an

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