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What is the remainder when integer n is divided by two?
(1) When n is divided by 5 the remainder is even.
(2) When n is divided by 4 the remainder is even.
(1) When n is divided by 5 the remainder is even.
(2) When n is divided by 4 the remainder is even.
10 Jan 2017, 06:04
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Bunuel
What is the remainder when integer n is divided by two?
(1) When n is divided by 5 the remainder is even.
(2) When n is divided by 4 the remainder is even.
(1) When n is divided by 5 the remainder is even.
(2) When n is divided by 4 the remainder is even.
(1) N=5x, N=5x + 2 or N=5x + 4. N can be even or odd depending on x. Insufficient.
(2) N=4x or N=4x+2. In both cases we'll get even numbers. Sufficient.
B.
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11 Jan 2017, 03:20
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(1) When n is divided by 5 the remainder is even.
n=5q + even
Let q=any odd number.......... n=odd+even =odd .........When dividing n by 2, the reminder is 1 such as 7/2 , 17/2...etc)
Let q = any even number.......n= even+even= even.....When dividing n by 2, the reminder is 0
Insufficient
(2) When n is divided by 4 the remainder is even.
n=4q + even
n is always even ..Thus When dividing n by 2, the reminder is 0.
Sufficient
Answer is B
n=5q + even
Let q=any odd number.......... n=odd+even =odd .........When dividing n by 2, the reminder is 1 such as 7/2 , 17/2...etc)
Let q = any even number.......n= even+even= even.....When dividing n by 2, the reminder is 0
Insufficient
(2) When n is divided by 4 the remainder is even.
n=4q + even
n is always even ..Thus When dividing n by 2, the reminder is 0.
Sufficient
Answer is B
