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When n is divided by 14, the remainder is 10. What is the remainder wh
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27 Jan 2022, 22:45
27 Jan 2022, 22:45
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When n is divided by 14, the remainder is 10. What is the remainder when n is divided by 7?
A 2
B 3
C 4
D 5
E 6
A 2
B 3
C 4
D 5
E 6
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Re: When n is divided by 14, the remainder is 10. What is the remainder wh
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28 Jan 2022, 06:43
28 Jan 2022, 06:43
1
Carcass wrote:
When n is divided by 14, the remainder is 10. What is the remainder when n is divided by 7?
A 2
B 3
C 4
D 5
E 6
A 2
B 3
C 4
D 5
E 6
Many Integer Properties questions can be solved by testing a value that satisfies the given information.
Given: When n is divided by 14, the remainder is 10
So, some possible values of n include: 10, 24, 38, 52, 66, etc.
Let's test the easiest (smallest) possible n-value, 10
What is the remainder when n is divided by 7?
If n = 10, then 10 divided by 7 equals 1 with remainder 3
Answer: B
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Re: When n is divided by 14, the remainder is 10. What is the remainder wh
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05 Sep 2022, 10:34
05 Sep 2022, 10:34
1
When positive integer n is divided by 14, the remainder is 10
Theory: Dividend = Divisor*Quotient + Remainder
n -> Dividend
14 -> Divisor
a -> Quotient (Assume)
10 -> Remainders
=> n = 14*a + 10 = 14a + 10
What is the remainder when n is divided by 7
n = 14a + 10 = 7*2a + 7 + 3 = 7*(2a + 1) + 3
=> n when divided by 7 gives 2a + 1 as quotient and 3 as remainder
So, Answer will be B
Hope it helps!
Watch the following video to learn the Basics of Remainders
Theory: Dividend = Divisor*Quotient + Remainder
n -> Dividend
14 -> Divisor
a -> Quotient (Assume)
10 -> Remainders
=> n = 14*a + 10 = 14a + 10
What is the remainder when n is divided by 7
n = 14a + 10 = 7*2a + 7 + 3 = 7*(2a + 1) + 3
=> n when divided by 7 gives 2a + 1 as quotient and 3 as remainder
So, Answer will be B
Hope it helps!
Watch the following video to learn the Basics of Remainders
