If HIDING is a 6 digit distinct prime number and H,I,D,N,G are all the distinct digits where H,I,D are prime and HI,DI,NG are primes, and H with any two I's are prime. and N=2^I. Then H+I+D+N-G is?

• ans 12
  H,I,D are distinct prime nos, can be 2,3,5,7
  HI,DI are prime, so options are 23,53,37 since I occurs in both and 3 occurs 2 times in nos I is 3
  so HI/DI =23/53
  N and G are not prime so options are 4,6,8,9 (1 is neither prime nor composite, neglected)
  NG also prime, from options only 89 possible
  N=8=2^I=2^3
  take H=2 D=5 since both are added take as u like
  therefore, 2+3+5+3 +8-9 = 12
• 8 years agoHelpfull: Yes(7) No(2)
• H=5 I=3 D=7 N=8 G=9 ans:14
• 9 years agoHelpfull: Yes(4) No(1)
• i=3;h=2;d=5;then n=2^i=2^3=8
  then g=7 (because ng is a prime number so, ng=87)
  hence, H+I+D+N-G=2+3+5+8-7=11
  
• 9 years agoHelpfull: Yes(2) No(3)
• Question is incomplete, One more condition was there HIH is divisible by (2D+1)
  So,according to this I=3,H=5,D=1,N=8,G=7
  H,I,D are prime numbers
  HIH is divisible by (2D+1)
  HI, DI, NG are two digit prime numbers
• 9 years agoHelpfull: Yes(1) No(1)
• @puja kumari 87 is not a prime number. 87= 29*3.
• 9 years agoHelpfull: Yes(1) No(0)
• @Priyanka Mishra 1 is not prime
• 9 years agoHelpfull: Yes(1) No(0)
• Answer should be 17.....
• 8 years agoHelpfull: Yes(1) No(0)
• H=7,I=3,D=5
  HI=73 prime,DI=53,N=8,NG = 89
  then HIDING is also prime, HIH = 737 is also divisible by 2D+1=11
  so,7+3+5+8-9=14
  answer is 14
• 8 years agoHelpfull: Yes(1) No(0)
• 2+3+5+8-9 = 9
  
  Because 89 is prime no
• 4 years agoHelpfull: Yes(0) No(0)