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The number 3 divides a with a result of b and a remainder o
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Updated on: 30 May 2018, 16:09
Updated on: 30 May 2018, 16:09
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89% (01:25) correct
10% (01:01) wrong based on 19 sessions
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The number 3 divides a with a result of b and a remainder of 2. The number 3 divides b with a result of 2 and a remainder of 1. What is the value of a ?
(A) 13
(B) 17
(C) 21
(D) 23
(E) 27
(A) 13
(B) 17
(C) 21
(D) 23
(E) 27
Re: The number 3 divides a with a result of b and a remainder o
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31 May 2018, 11:13
31 May 2018, 11:13
Expert Reply
The number 3 divides a with a result of b and a remainder of 2. So if we take 2 off a and divide by 3 the answer should be b.
\(\frac{a-2}{3}=b\) or \(a=3b+2\).
The number 3 divides b with a result of 2 and a remainder of 1. Similarly
\(\frac{b-1}{3}=2\) or \(a=6+1=7\).
Hence putting value of b into the first equation a=23.
\(\frac{a-2}{3}=b\) or \(a=3b+2\).
The number 3 divides b with a result of 2 and a remainder of 1. Similarly
\(\frac{b-1}{3}=2\) or \(a=6+1=7\).
Hence putting value of b into the first equation a=23.
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Re: The number 3 divides a with a result of b and a remainder o
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04 Sep 2022, 09:44
04 Sep 2022, 09:44
1
The number 3 divides a with a result of b and a remainder of 2
Theory: Dividend = Divisor*Quotient + Remainder
a -> Dividend
3 -> Divisor
b -> Quotient
2 -> Remainders
=> a = 3*b + 2 = 3b + 2
The number 3 divides b with a result of 2 and a remainder of 1
b = 3*2 + 1 = 6 + 1 = 7
=> a = 3b + 2 = 3*7 + 2 = 21 + 2 = 23
So, Answer will be D
Hope it helps!
Watch the following video to learn the Basics of Remainders
Theory: Dividend = Divisor*Quotient + Remainder
a -> Dividend
3 -> Divisor
b -> Quotient
2 -> Remainders
=> a = 3*b + 2 = 3b + 2
The number 3 divides b with a result of 2 and a remainder of 1
b = 3*2 + 1 = 6 + 1 = 7
=> a = 3b + 2 = 3*7 + 2 = 21 + 2 = 23
So, Answer will be D
Hope it helps!
Watch the following video to learn the Basics of Remainders
