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Sets and Relations question

2024 · 31 Jan · Shift 2 · Q57

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JEE Main
Mathematics
Sets and Relations
2024 · 31 Jan · Shift 2 · Q57

Sets and Relations question

2024 · 31 Jan · Shift 2 · Q57

JEE MainMathematicsSets and RelationsNumerical+4 / −1

Let

A=\{1,2,3, \ldots \ldots \ldots \ldots, 100\}

. Let

R

be a relation on

\mathrm{A}

defined by

(x, y) \in R

if and only if

2 x=3 y

. Let

R_1

be a symmetric relation on

A

such that

R \subset R_1

and the number of elements in

R_1

is

\mathrm{n}

. Then, the minimum value of

\mathrm{n}

is

\underline{\hspace{2cm}}

.

Numerical answer

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