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:
73 comments Page 3 of 8.
Navin kumar kamti said:
1 decade ago
1056/23 = 45.91.
45*23 = 1035.
Now we can write 1035+23 = 1058.
Hence,
1058-1056 = 2.
45*23 = 1035.
Now we can write 1035+23 = 1058.
Hence,
1058-1056 = 2.
Rupesh said:
1 decade ago
Consider first 3 digits 105.
23*4=92; 105-92=13.
Now 13 & remaining digit 6 forms 136.
23*5=115; 136-115=21.
If we are adding 2 in 21 then it will completely divisible.
23*4=92; 105-92=13.
Now 13 & remaining digit 6 forms 136.
23*5=115; 136-115=21.
If we are adding 2 in 21 then it will completely divisible.
Ankita said:
1 decade ago
Consider the number 13. When we divide it by 6, the remainder is 1. Now, what must be added to 13 to make it completely divisible by 6?
12 is completely divisible by 6. We must add 6 more to 12 to make it divisible by 6. While dividing by 13, the remainder is 1. So we add 5 (6-1) more to make the number 13 divisible by 6.
Similarly in this case, we add 2 (23-21).
12 is completely divisible by 6. We must add 6 more to 12 to make it divisible by 6. While dividing by 13, the remainder is 1. So we add 5 (6-1) more to make the number 13 divisible by 6.
Similarly in this case, we add 2 (23-21).
Rocky said:
1 decade ago
23*46 = 1058.
Therefore if we add 2 to 1056 then it is divisible by 23.
Therefore if we add 2 to 1056 then it is divisible by 23.
Prashant said:
1 decade ago
Digital sum method works here:
1056+2 = 1058--- 5 (digital sum).
1056+18 = 1074---3.
1056+3 = 1059-- 6.
1077+21 = 1098--9.
And the digital sum of 23 is 5. So option (A) is correct.
1056+2 = 1058--- 5 (digital sum).
1056+18 = 1074---3.
1056+3 = 1059-- 6.
1077+21 = 1098--9.
And the digital sum of 23 is 5. So option (A) is correct.
HMT said:
1 decade ago
If we do 1056/23. Then remainder = 21.
= 23-21 = 2.
Because to make 23 we have to add 2 in remainder. So we can do 23/23 which is 0.
= 23-21 = 2.
Because to make 23 we have to add 2 in remainder. So we can do 23/23 which is 0.
Abhijit Mukherjee said:
1 decade ago
@Nikitha please explain it.
But if we divide 1056 by 23, the remainder is 2.
So if 2 is added to the 1056, we get remainder 0.
Therefore solution is 2.
But if we divide 1056 by 23, the remainder is 2.
So if 2 is added to the 1056, we get remainder 0.
Therefore solution is 2.
Ragu said:
1 decade ago
Hi dude.
We have 4 choices in question paper.
Firs to add 1056+2 = 1058, 1058/23 = 0, we got no remaining in finally.
1056+3 = 1059, 1059/23 = 1 we gotta remaining.
1056+18 = 1074, 1074/23 = 16, same like got remaining.
Finally 1056+21 = 1077, 1077/23 = 19, same like got remaining.
Ans = 2.
We have 4 choices in question paper.
Firs to add 1056+2 = 1058, 1058/23 = 0, we got no remaining in finally.
1056+3 = 1059, 1059/23 = 1 we gotta remaining.
1056+18 = 1074, 1074/23 = 16, same like got remaining.
Finally 1056+21 = 1077, 1077/23 = 19, same like got remaining.
Ans = 2.
(1)
Dinesh said:
1 decade ago
Very good platform provided you mam to understand the problem. Really very nice!
Bhupendra said:
10 years ago
23^2 = 529.
And 529x2 = 1058.
Given 1056, difference = 2.
And 529x2 = 1058.
Given 1056, difference = 2.
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