if a, a+2, a+4 are prime numbers ,then the number of possible solutions for a is-
a. 1 b.2 c. 3 d. more than 3

• only on solution exist which is 3
  
• 9 years agoHelpfull: Yes(32) No(7)
• option:-a
  3,5,7(only 1 case)
• 9 years agoHelpfull: Yes(28) No(8)
• option ( b )
  put a= 1, the combination will be 1,3,5
  put a=3
  the combination will be 3, 5,7
  which r prime no.
  
• 9 years agoHelpfull: Yes(13) No(49)
• more than 3 is right answer
  because
  put a=1 no 1,3,5
  put a=5 no 5,7,11
  put a=11 no 11,13,17
  put a=17 no 17,19,23
• 9 years agoHelpfull: Yes(9) No(104)
• Ans.1
  (3,5,7)
• 9 years agoHelpfull: Yes(7) No(3)
• ans is a)1 only a=3 will satisfy the condition of prime number.i.e, 3,5,7
• 9 years agoHelpfull: Yes(7) No(4)
• Ans= 1 becuz 1 is not a prime no .. so 3 , 5 ,7
• 9 years agoHelpfull: Yes(7) No(3)
• only one solution,put a=3 then we get 3,5,7
• 9 years agoHelpfull: Yes(4) No(0)
• only for a=1 or 3 so the answer is b
• 9 years agoHelpfull: Yes(4) No(5)
• option a=1
  it will take only one value 3
  3
  3+2=5
  3+4=7
  (3,5,7) so answr is only one value will take
• 9 years agoHelpfull: Yes(4) No(0)
• a a+2 a+4
  put a=1,2,3....
  
  at a=1: 1,3,5 (But 1 is not prime number it is a unique number )
  at a=3: 3,5,7
  at a=5: 5,7,9(Not prime number set)
  .....
  so,only 1 combination is possible..ans(a)
• 9 years agoHelpfull: Yes(4) No(0)
• @Akhil Dhawan
  1 is not a prime number => a=3 is the only possible solution
• 9 years agoHelpfull: Yes(3) No(0)
• a=1 then 1,3,5
  a=3 then 3,5,7
  so the ans. will be (b).
• 9 years agoHelpfull: Yes(2) No(11)
• only one solution i.e., 3
  a=3
  a+2=5
  a+4=7
• 9 years agoHelpfull: Yes(2) No(0)
• Ans. is 1
  Since 1 is not a prime no.
  So take a=3 then a,a+2,a+4 = 3,5,7.
• 9 years agoHelpfull: Yes(2) No(0)
• more than 3
  5, 5+2=7 ,7+4=11
  11,11+2=13,13+4=17
  17,17+2=19,19+4=23,
  41,41+2=43,43+4=47
• 8 years agoHelpfull: Yes(2) No(7)
• MORE THAN 3
  
  If a=1, 1,3,5
  If a=3, 3,5,7
  If a=5, 5,7,9
  -----------------
  ------------------
  IF a=k, then .......
• 9 years agoHelpfull: Yes(1) No(13)
• let value of a = 3
  then we get 3,5,7 which is prime so the possible solutns of a will be 3
  
• 8 years agoHelpfull: Yes(1) No(1)
• option a is correct as a=3 gives 3,5,7
• 9 years agoHelpfull: Yes(0) No(1)
• if a=1
  the combinations will be (1,3,5)
  if a=3
  the combinations are(3,5,7)
• 9 years agoHelpfull: Yes(0) No(4)
• a.1 bcz if a=3 then only a,a+2,a+4 exist
  
• 9 years agoHelpfull: Yes(0) No(0)
• Answer would be 3
  
  the possible combinatins are:
  5,7,11
  11,13.17
  and
  17,19,23
  
• 9 years agoHelpfull: Yes(0) No(4)
• only one solution which is 3 , as there is only one possible combination 3,5,7
• 9 years agoHelpfull: Yes(0) No(0)
• Que is that how many possible value of a, which satisfy the condition...
  a, a+2, a+4 will be prime.
  if we take a=3
  3, 5, 7 will be primes
  if we take a=37
  37, 39, 41 also primes values
  then possible solution values of a is 3,37.
  ans will be: b). 2
• 9 years agoHelpfull: Yes(0) No(8)
• Ans. is 2
  If a=3 => 3,5,7
  If a=11 => 11,13,17
  
• 9 years agoHelpfull: Yes(0) No(4)
• only solution exist which is 3 bcz prime no (expect 2,3 )are of form 6M+-1 if v take a =6M+1 ,a+2 will be 6M+3 which is divisible by 3 and if v take a=6M-1 ,a+4 will be 6M+3 which is divisible by 3 so only solution is 3,5,7 only one combo
  
• 8 years agoHelpfull: Yes(0) No(0)
• ans is : c
  a = 1 : (1,3,5)//////
  a = 3 : (3,5,7)//////
  a=41 :(41,43,47)//////////
• 8 years agoHelpfull: Yes(0) No(5)
• only 1 soln is possible when we put a=3 then we get only 3,5,7
• 8 years agoHelpfull: Yes(0) No(0)
• three cases are possible
  a=1,3,5
• 8 years agoHelpfull: Yes(0) No(2)
• lage raho dosto infinity hoga....
• 8 years agoHelpfull: Yes(0) No(5)
• option a..
  bcoz 1 is not prime n 3 is the lone no. satisfying the condition..
  so 3.
• 8 years agoHelpfull: Yes(0) No(1)
• option:-B bcoz....when put
  a=3 3,3+2=5,3+4=7
  so , 3,5,7
  a=17 17, 17+2=19 ,17+4=23
  so, 17,19,23
  
• 8 years agoHelpfull: Yes(0) No(4)
• Only one solution which is a=3..3,5,7
  @akhil dhawan Bandhu 1 is not prime number
• 8 years agoHelpfull: Yes(0) No(0)
• Answer is more than 3...
  1 is not a prime number nor a composite number,a number which is divisible itself and 1 is a prime number..
  hence,
  Put a =5,11,17,41....
• 8 years agoHelpfull: Yes(0) No(0)
• option d
  a=1 then 1,3,5
  a=3 then 3,5,7
  .........
• 8 years agoHelpfull: Yes(0) No(1)
• a=1,3,11
  if a=5
  5,7,9 nt prime
  
• 7 years agoHelpfull: Yes(0) No(0)
• 1,3 satisfy only so ans is 2
• 7 years agoHelpfull: Yes(0) No(0)
• b.2 solution
  3 and 11
• 7 years agoHelpfull: Yes(0) No(0)
• The only even prime number is 2. If a = 2, then a+2 = 4, and it is composite. So a = 2 is not a solution. Other than two, we have only odd numbers that can be suited to a. If a is odd, then either ‘a’ or ‘a + 2’ or ‘a + 4’ is definitely a multiple of 3. (3 consecutive numbers/3 consecutive odd numbers/3 consecutive even numbers will have always a multiple of 3, and their sum will always be a multiple of 3).
  
  So, we have the only option left with us as a = 3. If a = 3, then we have a + 2 = 5 and a + 4 = 7, and all these numbers are prime. So, we have only 1 solution.
• 6 years agoHelpfull: Yes(0) No(0)