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Sub 505 (Easy)|   Remainders|      
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Bunuel
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When the integer n is divided by 2, the quotient is u and the remainde 19 May 2019, 20:57
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B
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94% (01:03) correct 6% (01:44) wrong based on 113 sessions

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When the integer n is divided by 2, the quotient is u and the remainder is 1. When the integer n is divided by 5, the quotient is v and the remainder is 3. Which one of the following must be true?

(A) 2u + 5v = 4
(B) 2u - 5v = 2
(C) 4u + 5v = 2
(D) 4u - 5v = 2
(E) 3u - 5v = 2
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B
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KarishmaB
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When the integer n is divided by 2, the quotient is u and the remainde 19 May 2019, 21:01
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Bunuel
When the integer n is divided by 2, the quotient is u and the remainder is 1. When the integer n is divided by 5, the quotient is v and the remainder is 3. Which one of the following must be true?

(A) 2u + 5v = 4
(B) 2u - 5v = 2
(C) 4u + 5v = 2
(D) 4u - 5v = 2
(E) 3u - 5v = 2
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n = 2u + 1
n = 5v + 3

2u + 1 = 5v + 3
2u - 5v = 2

Answer (B)
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When the integer n is divided by 2, the quotient is u and the remainde 20 May 2019, 01:44
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Bunuel
When the integer n is divided by 2, the quotient is u and the remainder is 1. When the integer n is divided by 5, the quotient is v and the remainder is 3. Which one of the following must be true?

(A) 2u + 5v = 4
(B) 2u - 5v = 2
(C) 4u + 5v = 2
(D) 4u - 5v = 2
(E) 3u - 5v = 2
Show more


given
n=2*u+1
and n=5*v+3
we can say
2u+1=5v+3
or
2u-5v=2
IMO B
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When the integer n is divided by 2, the quotient is u and the remainde 19 Dec 2024, 08:53
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When the integer n is divided by 2, the quotient is u and the remainder is 1.

Dividend = Divisor * Quotient + Remainder
=> n = 2*u + 1 = 2u + 1

When the integer n is divided by 5, the quotient is v and the remainder is 3. Which one of the following must be true?
=> n = 5*v + 3 = 5v + 3

=> n = 2u + 1 = 5v + 3
=> 2u - 5v = 2

So, Answer will be B
Hope it helps!

Watch the following video to MASTER Remainders

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Bunuel
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