Aptitude - Numbers - Discussion
Discussion Forum : Numbers - General Questions (Q.No. 69)
69.
n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2n is divided by 4 ?
Answer: Option
Explanation:
Let n = 4q + 3. Then 2n = 8q + 6 = 4(2q + 1 ) + 2.
Thus, when 2n is divided by 4, the remainder is 2.
Discussion:
15 comments Page 2 of 2.
Shweta said:
7 years ago
Lt quotient be q and R be remainder.
n=4q+3 ---> eqn(1)
2n=4q+R ---> eqn(2)
therefore, putting eqn(1) in eqn (2);
2(4q+3) = 4q+R.
8q+6 = 4q + R,
let q=1,
4+6=R,
10 = R,
when 10 is divided by 4;
R=2.
n=4q+3 ---> eqn(1)
2n=4q+R ---> eqn(2)
therefore, putting eqn(1) in eqn (2);
2(4q+3) = 4q+R.
8q+6 = 4q + R,
let q=1,
4+6=R,
10 = R,
when 10 is divided by 4;
R=2.
(2)
Naina said:
7 years ago
The equation be like;
n=4*q+3 (let us assume q=1)
n=4+3
n=7.
Next equation is;
2n=4*q+x (q=1,assumed).
2(7)=4+x,
14/4 = x,
The remainder 2.
n=4*q+3 (let us assume q=1)
n=4+3
n=7.
Next equation is;
2n=4*q+x (q=1,assumed).
2(7)=4+x,
14/4 = x,
The remainder 2.
(1)
Bindu said:
6 years ago
Assume n to be any number such that when it is divided by 4 we should get 3 as R.
So let n be 15 (when 15/4, R=3, condition satisfied as per in the given question).
Therefore 2n will be 30. (when 30/4, R=2, the required answer).
So let n be 15 (when 15/4, R=3, condition satisfied as per in the given question).
Therefore 2n will be 30. (when 30/4, R=2, the required answer).
(5)
Janardhan jada said:
5 years ago
I can't understand please explain this step by step.
Tejas said:
5 years ago
If n=19 then 2n = 38.
2n/4=38/4 (here remainder is 2) =19/2 (here remainder is 1).
Why does remainder change for the same fraction? Please explain me.
2n/4=38/4 (here remainder is 2) =19/2 (here remainder is 1).
Why does remainder change for the same fraction? Please explain me.
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