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 ?
2
3
18
21
None of these
Answer: Option
Explanation:
 23) 1056 (45
      92
      ---
      136
      115
      ---
       21
      ---
     
 Required number = (23 - 21)    
                 = 2.   
Discussion:
73 comments Page 6 of 8.

Astik said:   8 years ago
1056/23.

=23/1056/46
92
-----------
136
138
-------------


When we multiply 23*5=115.
2
But I take one 1 more bigger digit I multiply 23*6=138
Difference of this two numbers is 2.
This is the simplest way.

Nkumar said:   8 years ago
1056+2=1058, it is completely divided by 23, so difference no. 1056-1058 =2, because 1058/23 =46.

Nandi Vishal said:   8 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.
(1)

Sunny said:   8 years ago
@Nikitha.

But the reminder is not 2 how it comes 2?
(1)

Ankur said:   8 years ago
@Nandi.

Please apply same formula in 1045 instead of 1056, 23 will remain same.

Sathish said:   8 years ago
Why we did 23-21?

MohanaGiri said:   7 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.
(1)

Satish chandra said:   7 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".

Shubhada Lokhande said:   7 years ago
Basically we have to %(mod) operation here;

1056%23=
1056/23=45.91=46.
46*23=1058.
1058-1056=2 => answer.
(1)

Soura said:   7 years ago
@Mohanagiri.

Smart approach, Thanks.


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