I came across this question while trying the GMAT prep
Question: What is the remainder when a positive integer n is divided by 6?
(1)n is a multiple of 5
(2)n is a multiple of 12
Answer: B
Can somebody pls explain how the answer is derived?
My understanding of the question is if we can atleast narrow it down to a range of numbers which satisfy the condition of being divisible by 6 it is sufficient to answer the question, need not specifically find the remainder.
The first statement tells n is a multiple of 5, thus the range could be 5,10,15,20,25,30,35,40,45,50,55,60....Of this range, checking 10 for divisibility with 6, the remainder is 4.Similarly for 15, it is 3 and so on. Thus I am able to tell what the remainder is.
The second statement tells n is a multiple of 12, thus the range could be 12,24,36,48,60....Of this range, checking 12 for divisbilty with 6, the remainder is 0,Similarly for 24, again remainder is 0 and so on. Thus again I am able to tell what the remainder is.
So according to me the answer should be D (Each statement alone is sufficient).
But the answer given is B.
Had the question been what is the value of n , then B would have been the right answer.
Please help me in understanding what is wrong in my logic. Btw this type of question falls in which range like 300-500/600-700??
Question: What is the remainder when a positive integer n is divided by 6?
(1)n is a multiple of 5
(2)n is a multiple of 12
Answer: B
Can somebody pls explain how the answer is derived?
My understanding of the question is if we can atleast narrow it down to a range of numbers which satisfy the condition of being divisible by 6 it is sufficient to answer the question, need not specifically find the remainder.
The first statement tells n is a multiple of 5, thus the range could be 5,10,15,20,25,30,35,40,45,50,55,60....Of this range, checking 10 for divisibility with 6, the remainder is 4.Similarly for 15, it is 3 and so on. Thus I am able to tell what the remainder is.
The second statement tells n is a multiple of 12, thus the range could be 12,24,36,48,60....Of this range, checking 12 for divisbilty with 6, the remainder is 0,Similarly for 24, again remainder is 0 and so on. Thus again I am able to tell what the remainder is.
So according to me the answer should be D (Each statement alone is sufficient).
But the answer given is B.
Had the question been what is the value of n , then B would have been the right answer.
Please help me in understanding what is wrong in my logic. Btw this type of question falls in which range like 300-500/600-700??
