Latest TCS Aptitude Question SOLUTION: The remainder when the positive integer m is divided by n is r. What is the remainder when 2m is divided by 2n ? (A) r (B) 2r (C) 2n (D) m - nr (E) 2(m - nr)

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The remainder when the positive integer m is divided by n is r. What is the remainder when 2m is
divided by 2n ?
(A) r
(B) 2r
(C) 2n
(D) m - nr
(E) 2(m - nr)

Asked In TCS chaitanya (10 years ago)

Unsolved Read Solution (9)

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Aditya Gaurav  (10 years ago)

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.

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Tanu  (10 years ago)

@Sanket By dividing the divisor would be same not the remainder

2m/2n =m/n=k(divisor)

take example 3/2 remainder 1
But 6/4 remainder 2

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Sanket  (10 years ago)

Cant it be like - 2m/2n = m/n = r itself ??
Correct me if am wrong.
Thanks :)

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chaitanya  (10 years ago)

correction
d) m-nr
e)2(m-nr)

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M Sri Raviteja  (10 years ago)

2r is ans..

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Rahul Deep  (10 years ago)

ans=b)2r
taking value of m as 8,10 and n as 3,5...nd solve it to find d pattern of ans

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Tanu  (10 years ago)

@Aditya Gaurav Please explain how we can say that 2r will be the remainder in the term k +2r/2n ??

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nandanaidu  (10 years ago)

ans is 2r..........................

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Mainak  (9 years ago)

n=mk+r(given)...............(i)
by question, 2n=2mk+z(assume)
now, z=2(n-mk)
z=2r...using equation (i)

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