0
$\begingroup$

$Given$:

$COMPUTERS$ is the smallest Pan Digital containing all the digits 1 to 9 occurring only once.

$COMPUTERSV$ is a Prime only when one of the correct digit ($V$)is added at the end.

Also,

$COMPUTERSE$ = $CE$ * $EOTOCTPC$

What is the digit $V$ that has to be added to make $COMPUTERS$ A Prime?

$\endgroup$
  • $\begingroup$ Enough info given... $\endgroup$ – Uvc Jun 29 at 10:39
2
$\begingroup$

V=

$1$

because:

$COMPUTERS=123456789$, $V\ne\{2,4,6,8\}$ (even), $V\ne\{3,6,9\}$ (multiple of $3$), $V\ne\{5\}$ (multiple of $5$). So $V=1$ or $V=7$. But $E=7$ and this is not prime, as given later. Therefore $V=1$. And indeed $1234567891$ is prime.

$\endgroup$
  • $\begingroup$ Got it......... $\endgroup$ – Uvc Jun 29 at 10:47

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.