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11 Nov 2022, 13:57
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D
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Difficulty:
25%
(medium)
Question Stats:
74% (00:57) correct
26%
(01:42)
wrong
based on 96
sessions
History
Date
Time
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Not Attempted Yet
What is the remainder when 345,606^2 is divided by 20?
A. 10
B. 12
C. 14
D. 16
E. 18
A. 10
B. 12
C. 14
D. 16
E. 18
11 Nov 2022, 23:30
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\(\frac{345,606^2}{ 2 * 10}\)
\(\frac{345,606 * 345,606 }{ 2 * 10}\)
\(\frac{172,803 * 345,606 }{ 10}\)
\(\frac{(172,800+3) * (345,600+6) }{ 10}\)
\(\frac{(172,800 * 345,600 + 172,800 * 6 + 345,600 * 3 + 18) }{ 10}\)
All the terms except the last term is divisible by 10, hence the remainder will 18.
Note: We divided by 2 at the start, so net remainder = \(\frac{18 * 2 }{ 20}\) = 16
Option D
\(\frac{345,606 * 345,606 }{ 2 * 10}\)
\(\frac{172,803 * 345,606 }{ 10}\)
\(\frac{(172,800+3) * (345,600+6) }{ 10}\)
\(\frac{(172,800 * 345,600 + 172,800 * 6 + 345,600 * 3 + 18) }{ 10}\)
All the terms except the last term is divisible by 10, hence the remainder will 18.
Note: We divided by 2 at the start, so net remainder = \(\frac{18 * 2 }{ 20}\) = 16
Option D
12 Nov 2022, 01:51
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What is the remainder when 345,606^2 is divided by 20?
Solution:-
5*4=20
=345606*345606/(20)
=345606*345606/(2*2*5)
=172803*172803/(5)
=here the reminder is 9/5
implies reminder is 4
which means the 4*2*2=16
Solution:-
5*4=20
=345606*345606/(20)
=345606*345606/(2*2*5)
=172803*172803/(5)
=here the reminder is 9/5
implies reminder is 4
which means the 4*2*2=16
