Aptitude - Numbers - Discussion
Discussion Forum : Numbers - General Questions (Q.No. 4)
4.
What least number must be added to 1056, so that the sum is completely divisible by 23 ?
Answer: Option
Explanation:
23) 1056 (45 92 --- 136 115 --- 21 --- Required number = (23 - 21) = 2.
Discussion:
72 comments Page 2 of 8.
Js parihar said:
4 years ago
1056/23.
The simple method is;
The digit sum of 1056 = 12 = 3,
The digit sum of 23 = 5.
So what must be added to 3 to be divisible by 5 i.e 2 is the correct answer.
The simple method is;
The digit sum of 1056 = 12 = 3,
The digit sum of 23 = 5.
So what must be added to 3 to be divisible by 5 i.e 2 is the correct answer.
(6)
Muthu said:
4 years ago
@ALL.
As per my method.
10 * 23 = 2300
2300/2 = 1150
1150-1056 = 94
94/23 = 4 quotient balance 2 ans is 2.
As per my method.
10 * 23 = 2300
2300/2 = 1150
1150-1056 = 94
94/23 = 4 quotient balance 2 ans is 2.
Soura said:
5 years ago
@Mohanagiri.
Smart approach, Thanks.
Smart approach, Thanks.
Shubhada Lokhande said:
5 years ago
Basically we have to %(mod) operation here;
1056%23=
1056/23=45.91=46.
46*23=1058.
1058-1056=2 => answer.
1056%23=
1056/23=45.91=46.
46*23=1058.
1058-1056=2 => answer.
Satish chandra said:
5 years ago
When 1056 divided by 23 it yields 21 but we need to get "0" as remainder if we add +2 to 21 (i.e. 1058 it gives 23 as the remainder when it gets divided by 23) and it 23 get divided by 23 yields zero "0".
MohanaGiri said:
5 years ago
Simple,
They are asking only which is a least number make 1056 becomes divisible by 23.
So, we know divisibility means the remainder will be zero.
First, divide the1056 by 23.
And; we know 23*6=138, hence the given number 105(6) is must be 105(8) then we divided). Hence add 2 finally we get remainder zero.
They are asking only which is a least number make 1056 becomes divisible by 23.
So, we know divisibility means the remainder will be zero.
First, divide the1056 by 23.
And; we know 23*6=138, hence the given number 105(6) is must be 105(8) then we divided). Hence add 2 finally we get remainder zero.
Sathish said:
5 years ago
Why we did 23-21?
Ankur said:
5 years ago
@Nandi.
Please apply same formula in 1045 instead of 1056, 23 will remain same.
Please apply same formula in 1045 instead of 1056, 23 will remain same.
Sunny said:
5 years ago
@Nikitha.
But the reminder is not 2 how it comes 2?
But the reminder is not 2 how it comes 2?
Nandi Vishal said:
5 years ago
The best way lets assume 1056 to be 1+0+5+6=12=1+2=3 --> 1.
23=2+3=5 --> 2.
Hence 2 must be added to (1) to get completely divisible by 23.
23=2+3=5 --> 2.
Hence 2 must be added to (1) to get completely divisible by 23.
(1)
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