If we multiply two consecutive three digit prime
numbers we get the result as 'M' and 'S' is square
of a number such that S>M.When we subtract M from S then the result will be:-
a)Perfect Square b)Odd c)Even d)None of the above
I wrote perfect square.Is it right?

• yes bro u r ri8
  --->**one thing also mention in the Q. there is no Square of Any number between S & M******
  -->take 2 consecutive prime no--101 & 103
  101*103=10403(i.e M)
  square of 102=102*102=10404(i.e S)
  S>M
  so,10404-10403=1
  OR,
  similarly
  977 & 983 r 2 consecutive prime no
  So,977*983=960391
  take sqr of 180=960400
  960400-960391=9(i.e sqr of 3)
  similarly..
  u can check more...
  
  
• 9 years agoHelpfull: Yes(20) No(4)
• d)none of these
  as if we take 191&193
  191*193=36863
  191*191=36481
  when v subtract the two we get 382...which is not a perfect square but is even
  
  then taking 977&983
  977*983=960391
  976*976=952576
  when we subtract them we get 7815 which is odd and not a perfect sq
  so we conclude none of these
• 9 years agoHelpfull: Yes(7) No(6)
• >>>every prime no. is odd(e.g., 3,5,7,11,13.. 113 and so on )
  >>>multiplication of two odd no. is odd( e.g., 3 x 7= 21 i.e odd )
  >>> square of any odd no. is odd
  >>> sub or add of odd nos. are EVEN
  
  so by these rules,
  any three digit prime(odd) and its consecutive prime(odd)
  their multiplication and square id ODD
  and sub or add of any two ODD is EVEN
  so it will be an even no.
• 6 years agoHelpfull: Yes(1) No(2)