Question

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

Thank you..

Answer 1

• let four prime number wriiten in ascending order be x,y,z and p
  now according to question ,
  product of first three number
  x*y*z=385
  y*z=385/x
  product of last three number
  p*y*z=1001
  p*385/x=1001
  p/x=1001/385
  p/x= 13/5
  x=5
  Thus 5 is the first number.

The other three prime numbers are 7,11,13.
Thus the last number is 13.