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 1 of 6.
Kyomuhendo Catherine said:
2 months ago
Thank you, everyone, l have understood the answer.
(1)
Suma said:
3 years ago
The divisibility rule of 3 is to add all the digits, that number should be divisible by 3.
Here 5+1+7+*+3+2+4 = 22+*.
If we add 2 to it, then22+2 = 24.
Where 24 is divisible by 3.
Therefore, the value of * is 2.
Here 5+1+7+*+3+2+4 = 22+*.
If we add 2 to it, then22+2 = 24.
Where 24 is divisible by 3.
Therefore, the value of * is 2.
(16)
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)
Saad said:
4 years ago
Thanks everyone.
(1)
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.
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)
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)
Priya said:
5 years ago
Thanks @Nikitha.
Mariya said:
6 years ago
How X =2? Explain in detail.
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.
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers