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 5 of 6.
                
                        Ann mary said: 
                         
                        6 years ago
                
                Thanks @Nikitha.
                
                        Ruhi said: 
                         
                        6 years ago
                
                The answer is 1.
                
                     (1)
                
            
                        Premita Tamang said: 
                         
                        6 years ago
                
                Answer is 2, because 22 is not divided by 3.
So we have to add 2 with 22 the answer becomes 24 which can be easily divided by 3.
                So we have to add 2 with 22 the answer becomes 24 which can be easily divided by 3.
                        Mariya said: 
                         
                        6 years ago
                
                How X =2? Explain in detail.
                
                        Priya said: 
                         
                        5 years ago
                
                Thanks @Nikitha.
                
                        Pema said: 
                         
                        5 years ago
                
                I have simply used the given options to solve the question.
517*324. Replace the * by 0 and divide by 3.
The answer doesn't come in the whole number which means it's not divisible. But when you replace the * by 2 the answer comes in the whole number.
                517*324. Replace the * by 0 and divide by 3.
The answer doesn't come in the whole number which means it's not divisible. But when you replace the * by 2 the answer comes in the whole number.
                     (1)
                
            
                        SHREYAS M C said: 
                         
                        4 years ago
                
                @Suresh @Mariya
Yeah, let's assume if
SAM is divisible by 3
S+A+M is also divisible by 3.
5 + 1 + 7 + x + 3 + 2 + 4 if we add this it would be 22+x.
So 22 is not divisible by 3.
If we add 2 in place of x i.e, 22+2 = 24 then it is divisible by 3.
So the answer is "2".
                Yeah, let's assume if
SAM is divisible by 3
S+A+M is also divisible by 3.
5 + 1 + 7 + x + 3 + 2 + 4 if we add this it would be 22+x.
So 22 is not divisible by 3.
If we add 2 in place of x i.e, 22+2 = 24 then it is divisible by 3.
So the answer is "2".
                     (3)
                
            
                        Shahadat Shikder said: 
                         
                        4 years ago
                
                Sum of digits = (5 + 1 + 7 + x + 3 + 2 + 4) = (22 + 2) =24, which must be divisible by 3.
So, x = 2.
                So, x = 2.
                        Saad said: 
                         
                        4 years ago
                
                Thanks everyone.
                
                     (1)
                
            
                        Ashwini Mahawar said: 
                         
                        4 years ago
                
                As per the Divisibility Rule - A number is divisible by 3, if the sum of all its digits is also divisible by 3.
                
                     (4)
                
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