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shanice
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1) The remainder when positive integer m is divided by n is r. What is the remainder when 2m id divided by 2n?
a)r b)2r c)2n d)m-nr e)2(m-nr)
Answer is B.
Explanation:
Since the remainder when m is divided by n is r, we can represent m as m = kn + r, where k is some integer.Now, 2m equals 2kn + 2r. Hence, dividing 2m by 2n yields 2m/2n = (2kn + 2 r)/2n = k + 2r/2n. Since we are dividing by 2n (not by n), the remainder when divided by 2n is 2r.
[b]My question : Why the remainder is 2r? I don't understand that part.[/b]
2) If 42.42 = k(14 + m/50), where k and m are positive integers and m < 50, then what is the value of
k + m ?
a)6 b)7 c)8 d)9 e)10
Answer is E
Please help me out,guys. I would be very grateful if you guys could explain in detail.
Thank you in advance.
a)r b)2r c)2n d)m-nr e)2(m-nr)
Answer is B.
Explanation:
Since the remainder when m is divided by n is r, we can represent m as m = kn + r, where k is some integer.Now, 2m equals 2kn + 2r. Hence, dividing 2m by 2n yields 2m/2n = (2kn + 2 r)/2n = k + 2r/2n. Since we are dividing by 2n (not by n), the remainder when divided by 2n is 2r.
[b]My question : Why the remainder is 2r? I don't understand that part.[/b]
2) If 42.42 = k(14 + m/50), where k and m are positive integers and m < 50, then what is the value of
k + m ?
a)6 b)7 c)8 d)9 e)10
Answer is E
Please help me out,guys. I would be very grateful if you guys could explain in detail.
Thank you in advance.
