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Sets and Relations question

2025 · 2 Apr · Shift 2 · Q35

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PYQ Library
JEE Main
Mathematics
Sets and Relations
2025 · 2 Apr · Shift 2 · Q35

Sets and Relations question

2025 · 2 Apr · Shift 2 · Q35

JEE MainMathematicsSets and RelationsMCQ+4 / −1

Let

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

and

R

be a relation on

A

such that

R=\{(a, b): a=2 b+1\}

. Let

\left(a_1\right.

,

\left.a_2\right),\left(a_2, a_3\right),\left(a_3, a_4\right), \ldots .,\left(a_k, a_{k+1}\right)

be a sequence of

k

elements of

R

such that the second entry of an ordered pair is equal to the first entry of the next ordered pair. Then the largest integer k , for which such a sequence exists, is equal to :

A
6
B
8
C
7
D
5

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