# 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)

Post your comments here:

Your comments will be displayed after verification.

Quick links

Quantitative Aptitude

Verbal (English)

Reasoning

Programming

Interview

Placement Papers

© IndiaBIX™ Technologies