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 3 of 4.
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)
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.
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.
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.
Ashi said:
9 years ago
@Nil.Dhongde.
The answer is 1.
The answer is 1.
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.
Mohammed said:
8 years ago
How could come 30 k in above equation?
Bhavani said:
8 years ago
@Rajesh Rao.
You explained in a easy way Thank you !
You explained in a easy way Thank you !
(1)
IKRAMUL said:
7 years ago
The square of this no means 3 *3=9.
And 9/5 rem is for,
Also let a no which divides by 5 rem is 3.
Where 8/5 rem is 3,
The square of this no is 64,
64/5 we get 4 is a rem.
And 9/5 rem is for,
Also let a no which divides by 5 rem is 3.
Where 8/5 rem is 3,
The square of this no is 64,
64/5 we get 4 is a rem.
(1)
Bhuvana ram said:
6 years ago
Formula:(Divisor * Quotient) + remainder = Dividend.
So, (5*Q)+3=D ----> (1)
D^2%5=R -----> (2)
Now we substitute equation(1) in (2).
((5*Q)+3)^2%5 = R
Assume Q = 1,
(5+3)^2%5 = R.
(8)^2%5 = R,
64%5 = R,
4 = R.
So, (5*Q)+3=D ----> (1)
D^2%5=R -----> (2)
Now we substitute equation(1) in (2).
((5*Q)+3)^2%5 = R
Assume Q = 1,
(5+3)^2%5 = R.
(8)^2%5 = R,
64%5 = R,
4 = R.
(2)
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