Aptitude - Numbers - Discussion
Discussion Forum : Numbers - General Questions (Q.No. 24)
24.
If the number 481 * 673 is completely divisible by 9, then the smallest whole number in place of * will be:
Answer: Option
Explanation:
Sum of digits = (4 + 8 + 1 + x + 6 + 7 + 3) = (29 + x), which must be divisible by 9.
x = 7.
Discussion:
16 comments Page 1 of 2.
Surendra Kurapati said:
10 years ago
Hi friends it is very very simple question why are all using different methods follow this method it is simple and superb.
Given that:
= 4+8+1+X+6+7+3 = X+29 (add all numerical).
In this he is given total value must be divided by 9.
Now 29/9 = 3.2222 (leave all numerical after point).
3*9 = 27.
Total 29.
Difference between them is 2. Now Subtract 9 from 2 we get the answer "7".
Given that:
= 4+8+1+X+6+7+3 = X+29 (add all numerical).
In this he is given total value must be divided by 9.
Now 29/9 = 3.2222 (leave all numerical after point).
3*9 = 27.
Total 29.
Difference between them is 2. Now Subtract 9 from 2 we get the answer "7".
(6)
Sanjeev varma said:
1 decade ago
Here the quest smallest hole no. which is divisible by 9.
A small technique,
If the sum of all no. equal to 9 then it is divisible by 9.
Ex:
15462.
1+5+4+6+2=18=> 1+8 =9 so it is divisible by 9.
Another case,
15460.
1+5+4+6+0=16=>1+6=7 if we add 2 to it then it will divisible by 9.
Same as to this question.
A small technique,
If the sum of all no. equal to 9 then it is divisible by 9.
Ex:
15462.
1+5+4+6+2=18=> 1+8 =9 so it is divisible by 9.
Another case,
15460.
1+5+4+6+0=16=>1+6=7 if we add 2 to it then it will divisible by 9.
Same as to this question.
Vikas mahant said:
1 decade ago
As you seen sum of digit is (29+x). So we have to feed the value of x which make digit divisible by 9.
29+x.
If we put x = 7.
Then 29+7 = 36.
Divisible by 9.
If we put 2 in place of 7.
Then (29+2) = 31.
Not divisible by 9.
29+x.
If we put x = 7.
Then 29+7 = 36.
Divisible by 9.
If we put 2 in place of 7.
Then (29+2) = 31.
Not divisible by 9.
Sangeetha said:
1 decade ago
Here if we add 2 to 29 then it becomes 31 so it is not devisible by 9. And also same in the case of 5 and 6. Lastly we have 7 if it is added to 29 it becomes 36 so it is divisible by 9. So here 7 is the smallest whole number.
Sriram said:
5 years ago
In this problem we find the sum of the digits will be (29+x).
So,
Instead of x you put the values of options what ever they given and Add both then find which option is exactly divisible by 9 that is our required answer.
So,
Instead of x you put the values of options what ever they given and Add both then find which option is exactly divisible by 9 that is our required answer.
(5)
Ashok Vithlani said:
8 years ago
9=9.
18-----1+8=9.
27------2+7=9.
99------9+9=18.
The sum of digits is divisible by 9 then the digit is divisible by 9.
Here, the sum of digits is 29 if 7 is added then it becomes 36 which is divisible by 9.
18-----1+8=9.
27------2+7=9.
99------9+9=18.
The sum of digits is divisible by 9 then the digit is divisible by 9.
Here, the sum of digits is 29 if 7 is added then it becomes 36 which is divisible by 9.
(2)
Muskaan said:
1 decade ago
in dis question dey have asked for small whole number so accordingly it must be 1 as 29 plus 1 =30.but as 30 nt divided by 9so we cant take it. is writing smallest whole number in question is valid or not
Sunny said:
1 decade ago
Small whole number is just given to confuse us...
and smallest whole number is not 1 it is 0 so accordin to the question we must substitute smallest possible whole number which satisfies the condition
and smallest whole number is not 1 it is 0 so accordin to the question we must substitute smallest possible whole number which satisfies the condition
Nano_Desu said:
10 years ago
Correct if I'm wrong my solution is this.
4+8+1+x+6+7+3.
4+8+1 = 13.
6+7+3 = 16.
So therefore: 16+13 = 29.
2-9 = 7.
At the last part of my solution is it correct?
4+8+1+x+6+7+3.
4+8+1 = 13.
6+7+3 = 16.
So therefore: 16+13 = 29.
2-9 = 7.
At the last part of my solution is it correct?
(3)
Lakshmanan said:
8 years ago
@ALL.
481 * 673=> 4+8+1+6+7+3=29.
=> 29 is add the two digit => 2+9=11.
=> 11-9=2.
Then 2 is the answer.
481 * 673=> 4+8+1+6+7+3=29.
=> 29 is add the two digit => 2+9=11.
=> 11-9=2.
Then 2 is the answer.
(5)
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