Aptitude - Numbers - Discussion
Discussion Forum : Numbers - General Questions (Q.No. 31)
31.
On dividing a number by 5, we get 3 as remainder. What will the remainder when the square of the this number is divided by 5 ?
Answer: Option
Explanation:
Let the number be x and on dividing x by 5, we get k as quotient and 3 as remainder.
x = 5k + 3
x2 = (5k + 3)2
= (25k2 + 30k + 9)
= 5(5k2 + 6k + 1) + 4
On dividing x2 by 5, we get 4 as remainder.
Discussion:
37 comments Page 2 of 4.
Mohammed said:
8 years ago
How could come 30 k in above equation?
Bhuiyanislam said:
8 years ago
Difference - remainder = question - 1.
5 - 3 = x - 1.
x = 2 + 1 = 3.
3^2 = 9.
9/5 = 4.
5 - 3 = x - 1.
x = 2 + 1 = 3.
3^2 = 9.
9/5 = 4.
Ashi said:
9 years ago
@Nil.Dhongde.
The answer is 1.
The answer is 1.
Kums kutty said:
9 years ago
In problem x is divisable by 5 then the remainder is 3 so we have X/5=3 then find x value X = 5 * 3 = 15.
In problem, they mentioned square of X is divisible by 5 then what is the remainder.
So X value is 15 then it's square is 225 now we divide it by 5.
225/5 = 45, 45/5 = 9, 9/5 = 4 as a remainder.
In problem, they mentioned square of X is divisible by 5 then what is the remainder.
So X value is 15 then it's square is 225 now we divide it by 5.
225/5 = 45, 45/5 = 9, 9/5 = 4 as a remainder.
Raja virat said:
9 years ago
Let the number be 23.
When 23 is divided by 5 we get remainder as 3,
Then, square of the number = 23 * 23 = 529.
So, 529/5 = 4.
When 23 is divided by 5 we get remainder as 3,
Then, square of the number = 23 * 23 = 529.
So, 529/5 = 4.
Shriram deshmukh said:
9 years ago
Dividing number by 5 its means multi of 5.
(5 * 1 + 3) = 8--> 64/5=> rem 4.
(5 * 2 + 3) = 13--> 169/5=>rem 4.
(5 * 3 + 3) = 18--> 324/5=>rem 4.
And so on.
(5 * 1 + 3) = 8--> 64/5=> rem 4.
(5 * 2 + 3) = 13--> 169/5=>rem 4.
(5 * 3 + 3) = 18--> 324/5=>rem 4.
And so on.
Neha yadav said:
10 years ago
In the above equation 30K come by algebra formula i.e. (a+b)^2 = a^2+2ab+b^2.
(1)
Sayali said:
10 years ago
Easiest way.
We have ask square of the no:
So 3 square is 9.
9/5 remainder is 4.
4 is the answer.
Apply this method to sum no 41.
We have ask square of the no:
So 3 square is 9.
9/5 remainder is 4.
4 is the answer.
Apply this method to sum no 41.
Sukesh said:
10 years ago
Consider the two reminders first we got 3 before squaring the number.
After squaring and dividing we got 5 as reminder.
So square the 1st reminder 3^2=9. Then, 9/5=4 is the reminder.
After squaring and dividing we got 5 as reminder.
So square the 1st reminder 3^2=9. Then, 9/5=4 is the reminder.
Reshma said:
1 decade ago
Difference - remainder = question - 1.
5-3 = x-1.
x = 2+1 = 3.
3^2 = 9.
9/5 =4.
5-3 = x-1.
x = 2+1 = 3.
3^2 = 9.
9/5 =4.
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