Three distinct single digit number A, B and C are in GP. If abs(x) for real x is the absolute value of x (x if x is positive or zero, and -x if x is negative). Then the number of different possible values of abs(A+B-C) is
1. 6
2. 3
3. 4
4. 5

• single digit number A,B,C are in GP.
  So possible combinations are (1 2 4),(1 3 9),(2 4 8),(4 6 9),(4 2 1),(9 3 1),(8 4 2),(9 6 4)
  
  For abs(A+B-C) we get 1,5,2,1,5,11,10,11
  
  so we get 5 different possible value
  answer is 5.
  
• 9 years agoHelpfull: Yes(7) No(0)
• Single digit number means integer. Either positive or negative. GP are 1 2 4 ,2 4 8, 1 3 9. Similarly -be. Hence total numbers of such GPs are 6
• 9 years agoHelpfull: Yes(3) No(6)
• Answer will Be 5
• 9 years agoHelpfull: Yes(2) No(0)
• ans is option 4.5
• 9 years agoHelpfull: Yes(1) No(10)
• considering A,B,C to be 1,2,4 respectively we get A+B-C as -1 and the value of Abs(A+B-C) is -1. Similarly when we interchange the values we would get a single solution for each possible way. The number of ways the number could be interchanged is 3 and so the number of possible values of abs(A+B-C) is 3(option 2)
• 9 years agoHelpfull: Yes(1) No(0)
• correct ans is: 5
• 9 years agoHelpfull: Yes(1) No(0)
• Since A+B-C there are 3 places and 3 single digit no. must be placed there so, 3! no.of ways ans: 6
• 9 years agoHelpfull: Yes(0) No(1)
• answer will be 4
• 9 years agoHelpfull: Yes(0) No(1)
• 2 combination are possible
  1. 1,3,9 so f(x)=5
  2. 2,4,8 so f(x)=2(not in option)
  so ans is 5.
• 9 years agoHelpfull: Yes(0) No(0)