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.
Abhishek said:
8 years ago
n=4q+3,
therefore adjust to n=2(2q)+2+1.
n=2(2q+1)+1............................(1).
2n=8q+6.
2n=4(2q+1)+2...........................(2).
so from 1 and 2.
Answer is 2.
therefore adjust to n=2(2q)+2+1.
n=2(2q+1)+1............................(1).
2n=8q+6.
2n=4(2q+1)+2...........................(2).
so from 1 and 2.
Answer is 2.
(1)
Goutam said:
9 years ago
Please explain me.
Vanitha said:
1 decade ago
I can't understand. Can you please explain it clearly?
Mayank agrawal said:
1 decade ago
What if I take n = 39(4*9+3)?
2n would be 78 and 78/4 will give me a remainder of 2.
How would you justify your answer now?
2n would be 78 and 78/4 will give me a remainder of 2.
How would you justify your answer now?
Kavi said:
1 decade ago
The simple form of these kind of sum is jus add 4+3=7 and 2n=2*7=14 which gives 2 as reminder.
(1)
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