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 2 of 6.
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)
Dev said:
8 years ago
Let the two numbers be a and b(a>b)
So A. T. Q
a-b=1365-----> [ eq no(1)]
Also;
b)a (6
- 6b
_____
15
______
Therefore;
From above we can say
a-6b=15-----> [eq no(2)]
Solving both equations we get;
b= 270[as per required].
Thanks.
So A. T. Q
a-b=1365-----> [ eq no(1)]
Also;
b)a (6
- 6b
_____
15
______
Therefore;
From above we can say
a-6b=15-----> [eq no(2)]
Solving both equations we get;
b= 270[as per required].
Thanks.
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)
Saravanan said:
8 years ago
@Aravind
456*85.
1. 4+5+6+x+8+5=28+x
2. 28+10(A is given option )=38/3=12.66 ஃ A is No
3. 28+84=112/3=37.333. No
4. 28+12=/3=13.33. No
5.28+21=16.33. No
Ans: None of those
But.
28+2=30/3=10. Ans is 2.
456*85.
1. 4+5+6+x+8+5=28+x
2. 28+10(A is given option )=38/3=12.66 ஃ A is No
3. 28+84=112/3=37.333. No
4. 28+12=/3=13.33. No
5.28+21=16.33. No
Ans: None of those
But.
28+2=30/3=10. Ans is 2.
(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.
Aravind said:
9 years ago
456*85 divisible by 3. Find the smallest whole digit number.
A. 10 b. 84 c. 12 d. 21.
Give me the answer of this question.
A. 10 b. 84 c. 12 d. 21.
Give me the answer of this question.
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)
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.
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.
Paavani said:
1 decade ago
I can't understand anyones explaination. If any one got this sum means please explain it clearly.
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