There are four prime numbers written in ascending order. The product of the first three is $385$ and that of the last three is $1001$ . Find the first number.

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Solution

The correct option is A $5$
Let the numbers be a, b, c, d
Then $a b c = 385 a n d b c d = 1001$
$\Rightarrow \frac{a b c}{b c d} = \frac{385}{1001} = \frac{a}{d} = \frac{5}{13} \Rightarrow a = 5, d = 13$

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There are four prime numbers written in ascending order. The product of the first three is 385 and that of the last three is 1001. Find the first number.

The correct option is A 5Let the numbers be a, b, c, d Then abc=385andbcd=1001⇒abcbcd=3851001=ad=513⇒a=5,d=13

There are four prime numbers written in ascending order. The product of the first three is $385$ and that of the last three is $1001$ . Find the first number.

The correct option is A $5$
Let the numbers be a, b, c, d
Then $a b c = 385 a n d b c d = 1001$
$\Rightarrow \frac{a b c}{b c d} = \frac{385}{1001} = \frac{a}{d} = \frac{5}{13} \Rightarrow a = 5, d = 13$