If the remainder is 1 when m is divided by 2 and the remainder is 3 when n is divided by 4, which of the following must be true?

1) If the remainder is 1 when m is divided by 2 and the remainder is 3 when n is divided by 4, which of the following must be true?

(A) m is even
(B) n is even
(C) m + n is even
(D) mn is even
(E) m/n is even

2) The remainder when m is divided by 5 is 2, and the remainder when m is divided by 3 is 2. If m > 2, what is the least possible value of m?

(A) 5
(B) 7
(C) 15
(D) 17
(E) 27

3) When x is divided by 2, remainder is 1 and y is divided by 8, remainder is 2. Which of following
could be the value of 2x + y? (x and y are integers)

A) 10
B) 11
C) 12
D) 13
E) 14

4) If the positive integer x leaves a remainder of 2 when divided by 8, what will the remainder be when x+9 is divided by 8?

A. 0
B. 1
C. 2
D. 3
E. 4

Answer: 1)C, 2)D, 3)C, 4)D

Recurso youtube: video to learn the Basics of Remainders

Claudio Hurtado Coach GMAT FOCUS QUANT clasesgmatchile@gmail.com, +56 937780070

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