Read the following data and then answer the questions that follow.
In a survey conducted among 200 mobile phone using families, it was found that 140 use Panasonic, 120 use Nokia and 143 use Siemens 95 use both Panasonic and Nokia, 85 use both Nokia and Siemens and 93 use of both Panasonic and Siemens. 70 families use mobile phones of all the three companies.
How many families use mobile phones of both Panasonic and Nokia but not Siemens ?

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Detailed Solution

Total $\Rightarrow 200$ mobiles

$140 \to$ Panasonic

$120 \to$ Nokia

$143 \to$ Siemens

$95 \to$ Both Panasonic & Nokia

$85 \to$ Both Nokia & Siemens

$93 \to$ Both Panasonic & Siemens

$70 \to$ use all the 3 types.

Both Panasonic and Nokia but not Siemens $= 25$ .

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