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If n is a positive integer, which one of the following numbe
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21 Apr 2018, 05:00
21 Apr 2018, 05:00
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If n is a positive integer, which one of the following numbers must have a remainder of 3 when divided by any of the numbers 4, 5, and 6?
(A) 12n + 3
(B) 24n + 3
(C) 80n + 3
(D) 90n + 2
(E) 120n + 3
(A) 12n + 3
(B) 24n + 3
(C) 80n + 3
(D) 90n + 2
(E) 120n + 3
Re: If n is a positive integer, which one of the following numbe
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21 Apr 2018, 21:41
21 Apr 2018, 21:41
2
The number sould have 4, 5 and 6 as common factors. So the answer would be E. +3 is common as that is expected as remainder.
Re: If n is a positive integer, which one of the following numbe
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26 Apr 2018, 09:16
26 Apr 2018, 09:16
2
The remainder equation can be formed for each of the divisors as follows :-
1.N=4q+3
2.N=5q+3
3.N=6q+3
Now we should be knowing that Least common multiple of 4,5 and 6 is 4*5*6 =120.
So value for each of the equations could be:
1.N=4q+3=123
2.N=5q+3=128
3.N=6q+3=129
Hence when we divide 123,128 and 129 by 4, 5 and 6 respectively then we get 3 as a remainder.
hence option E is the answer.
1.N=4q+3
2.N=5q+3
3.N=6q+3
Now we should be knowing that Least common multiple of 4,5 and 6 is 4*5*6 =120.
So value for each of the equations could be:
1.N=4q+3=123
2.N=5q+3=128
3.N=6q+3=129
Hence when we divide 123,128 and 129 by 4, 5 and 6 respectively then we get 3 as a remainder.
hence option E is the answer.
