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Question
A
=
{
x
|
x
ধনাত্মক পূর্ণ সংখ্যা এবং
x
2
<
25
}
,
B
=
{
x
|
x
মৌলিক সংখ্যা এবং
x
2
<
25
}
,
C
=
{
x
|
x
মৌলিক পূর্ণ সংখ্যা এবং
x
2
=
25
}
,
হলে,
A
∩
B
∩
C
=
{1,2,3,4}
{2,3,4}
{2,3,4,5}
∅
ANSWER : 4
Descrption
A = {x|x ধনাত্মক পূর্ণ সংখ্যা এবং <math xmlns = "http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup><mo><</mo><mn>25</mn></math>} অতএব A = {1,2,3,4} B = {x|x মৌলিক সংখ্যা এবং <math xmlns = "http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup><mo><</mo><mn>25</mn></math> } অতএব B = {2,3} C = {x|x মৌলিক পূর্ণ সংখ্যা এবং <math xmlns = "http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup><mo><</mo<mn>25</mn></math>} অতএব C = {5} অতএব <math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>∩</mo><mi>B</mi><mo>∩</mo><mi>C</mi><mo> </mo><mo> = </mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>}</mo><mo>∩</mo><mo>{</mo><mn>2</mn><mo>,</mo><mn>3</mn><mi>_</mi><mo>}</mo><mo>∩</mo><mo>{</mo><mn>5</mn><mo>}</mo><mo> = </mo><mo>∅</mo></math>
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