Q)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 last number is. A)11. B)13 C)17 D)19

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Solution

Dear Student,

$ L e t t h e f o u r p r i m e n u m b e r s b e a, b, c a n d d . A c c o r d i n g t o t h e q u e s t i o n : a \times b \times c = 385 a \times b \times c = 5 \times 7 \times 11 . . . (1) a n d b \times c \times d = 1001 b \times c \times d = 7 \times 11 \times 13 . . . (2) O n c o m p a r i n g (!) a n d (2), w e g e t : d = 13$

Answer : Option b

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Q)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 last number is. A)11. B)13 C)17 D)19

Dear Student, ​Let the four prime numbers be a, b, c and d .According to the question:a×b×c = 385a × b× c =5 × 7 × 11 ...(1) andb × c × d = 1001b × c × d = 7 × 11 × 13 ...(2) On comparing (!) and (2), we get: d = 13 Answer : Option b Regards