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JEE MATHEMATICS MCQ: SET THEORY

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Let

\mathrm{S}=

the set of all triangles,

\mathrm{P}=

the set of all isosceles triangles,

Q=

the set of all equilateral triangles,

\mathrm{R}=

the set of all right-angled triangles.
What do the sets

P \cap Q

and

R-P

represents respectively ?

View answer and explanation

Correct option: A

The set of isosceles triangles; the set of non- isosceles right angled triangles

Option A (The set of isosceles triangles; the set of non-isosceles right angled triangles) is correct because the intersection of isosceles and equilateral triangles is the set of isosceles triangles, and right-angled triangles excluding isosceles triangles are non-isosceles right-angled triangles.

More Questions from SET THEORY

Practice All Chapter MCQs →

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

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

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

b N \cap c N=d N

a, b, c \in N

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

\}

B=\{x: x

is a multiple of 5}, then

A-B

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

4 \%

A

C

2 \%

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

A