Aptitude - Numbers - Discussion
Discussion Forum : Numbers - General Questions (Q.No. 16)
                   
                                       
                                16.
If the number 517*324 is completely divisible by 3, then the smallest whole number in the place of * will be:
 
                                    Answer: Option
                                                    Explanation:
                                                Sum of digits = (5 + 1 + 7 + x + 3 + 2 + 4) = (22 + x), which must be divisible by 3.
  x = 2.
Discussion:
52 comments Page 3 of 6.
                
                        Shiva said: 
                         
                        10 years ago
                
                5 + 1 + 7 + x + 3 + 2 + 4 = 22.
22 + 3 - x = 24.
24/12 = 2.
                22 + 3 - x = 24.
24/12 = 2.
                        Pooja said: 
                         
                        9 years ago
                
                It's quite simple. Consider * as x and add all the numbers which will become (22+x). Now choose the number from options one by one and put in place of x and then try to divide it by 3. As I put the first option in place of x = (22+2) = 24 which is divided by 3.
                
                        Pravas said: 
                         
                        9 years ago
                
                Simple method-->divide the left-hand side number by 3, the remainder will be 1, then divide RHS number by 3 the remainder will be 0 as the number is divided by 3 so, place 2 before remainder 1, it will be 21 and divide by 3. That's solved.
Ex: 517/3 = 1 (remainder) * 324/3 = 0, So place 2 before 1 (remainder) = 21/3 = 7 (all are divided).
                Ex: 517/3 = 1 (remainder) * 324/3 = 0, So place 2 before 1 (remainder) = 21/3 = 7 (all are divided).
                        Kamal said: 
                         
                        9 years ago
                
                Not understand the solution, please someone help me.
                
                        Durga said: 
                         
                        9 years ago
                
                Thanks, @Nikitha.
                
                        Ramana said: 
                         
                        9 years ago
                
                How it comes 22+ x? Please explain it.
                
                        Meghana said: 
                         
                        9 years ago
                
                I am not getting this, please explain properly.
                
                        Subha said: 
                         
                        9 years ago
                
                You gave the best explanation @Nikitha.
@All. Please refer Nikitha's answer you will understand the solution.
                @All. Please refer Nikitha's answer you will understand the solution.
                        Balaji psg said: 
                         
                        9 years ago
                
                Thank you @Nikitha I can understand now.
                
                        Praveengolla said: 
                         
                        9 years ago
                
                Thank you @Nikitha and @Pavan.
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