Question

Which of the following is an element of set F={y/y is divisible by 3}?

a.101
b.201
c.301
d.401​

Answer 1

Answer:

d.401 even my dad told the answer

Answer 2

$\underline{\pink{ Set \: builder \: form \: of \: set Y :}}$

$Set \: F =\{ y : y \: is \: divisible \: by \:3\}$

$Option \: \green { ( b ) } \: is \: correct$

Explanation:

a. 101

$Sum \: of \: the \: digits \\= 1 + 0 + 1 \\= 2 \: \blue{ ( Not \: divisible \: by \: 3 ) }$

$\red{\therefore 101 \: is \: not\:divisible \: by \: 3}$

b. 201

$Sum \: of \: the \: digits \\= 3 + 0 + 1 \\= 3 \: \blue{ ( divisible \: by \: 3 ) }$

$\green{\therefore 201 \: is \: divisible \: by \: 3 }$

c. 301

$Sum \: of \: the \: digits \\= 3 + 0 + 1 \\= 4 \: \blue{ ( Not \: divisible \: by \: 3 ) }$

$\red{\therefore 301 \: is \: not\:divisible \: by \: 3}$

d . 401

$Sum \: of \: the \: digits \\= 4 + 0 + 1 \\= 5 \: \blue{ ( Not \: divisible \: by \: 3 ) }$

$\red{\therefore 401 \: is \: not\:divisible \: by \: 3}$

Therefore.,

$\green { F = \{ 201\} }$

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