Question

1.
2.
3.
4.
Answer (Detailed Solution Below)

Option 1 : $12$ / $12$

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Detailed Solution

सही उत्तर $12$ / $12$ है।

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Question:

The greatest number which divides $204$, $312$ and $408$ exactly is — / $204$, $312$ और $408$ को पूर्णतः विभाजित करने वाली सबसे बड़ी संख्या है —

1.
$12$ / $12$
2.
$6$ / $6$
3.
$24$ / $24$
4.
$34$ / $34$

Correct Answer: $12$ / $12$

$204 = 2^2 \times 3 \times 17$, $312 = 2^3 \times 3 \times 13$, $408 = 2^3 \times 3 \times 17$; the HCF is $2^2 \times 3 = 12$. / $204 = 2^2 \times 3 \times 17$, $312 = 2^3 \times 3 \times 13$, $408 = 2^3 \times 3 \times 17$; महत्तम समापवर्तक $2^2 \times 3 = 12$ है।

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