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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. The first number is

(1) 5

(2) 7

(3) 11 

(4) 17

1 Answer

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Best answer

Correct option is (1) 5

Let four prime number written in ascending order be a, b, c and d.

According to question,

Product of first three number = 385

\(a \times b \times c =385 \)

\(b \times c =\frac{385}{a}\)

Product of last three number = 1001

\(b \times c \times d =1001\)

\(\frac{385}{a} \times d =1001\)

\(\frac{d}{a} =\frac{1001}{385} \)

\(\frac{d}{a} =\frac{13}{5}\)

Thus. 5 is the first number.

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