JEE MATHEMATICS MCQ: SET THEORY

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Analyzing +4 | -1

In a certain town,

25 \%

of the families own a phone and

15 \%

own a car;

65 \%

families own neither a phone nor a car and 2,000 families own both a car and a phone. Consider the following three statements:
(A)

5 \%

families own both a car and a phone
(B)

35 \%

families own either a car or a phone
(C) 40,000 families live in the town
Then,

View answer and explanation

Correct option: C

All (A), (B) and (C) are correct.

Option C (All (A), (B) and (C) are correct) is correct because the calculations based on the given percentages and the number of families owning both a car and a phone confirm all three statements.

More Questions from SET THEORY

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Let

S

be the set of all those 2007-place decimal integers

2 a_1 a_2 a_3 \ldots . . a_{2006}

which contain odd number of digit 9 in each sequence

a_1, a_2, a_3, \ldots ., a_{2006}

. The cardinal number of

S

is If

a N=\{a n: n \in N: b N=\{n b: n \in N\}

c N=\{c N: n \in N\}

and

b N \cap c N=d N

, where

a, b, c \in N

and

b, c

are coprime, then Which of the following cannot be the number of elements in the power set of any finite set? If

A=\{x: x

is a multiple of 3

\}

and

B=\{x: x

is a multiple of 5}, then

A-B

is equal to If

F(n)

denotes the set of all divisors of

n

except 1 , what is the least value of y satisfying

[\mathrm{F}(20) \cap \mathrm{F}(16)] \subseteq \mathrm{F}(\mathrm{y})

? In a town of 10000 families, it was found that

40 \%

families buy newspaper

A, 20 \%

families buy newspaper B and

10 \%

families buy newspaper

C

, 5% families buy newspapers

A

and B, 3% buy newspapers B and

C

and

4 \%

buy newspapers

A

and

C

. If

2 \%

families buy all the three newspapers, then number of families which buy

A

only is