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26 May 2017, 04:48
Kudos
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Let's assume that 328 children are born in 1 year. Among these children, if October has the most number of births, what is the least possible value of the number of births in October?
A. 27
B. 28
C. 29
D. 30
E. 31
A. 27
B. 28
C. 29
D. 30
E. 31
26 May 2017, 04:49
Kudos
Bookmarks
Official Solution:
Let's assume that 328 children are born in 1 year. Among these children, if October has the most number of births, what is the least possible value of the number of births in October?
A. 27
B. 28
C. 29
D. 30
E. 31
328 children were born in 1 year and most number of children were born in October. Since the question is about the possible least value of the number of births in October, all other months except Oct. should have the maximum values. If so, there are 12 months in 1 year and 328 children were born in a way that all other months except for Oct. should have the maximum values. So if you divide 328 by 12, \(328 = 12(27) + 4\), and the number divided by 27 has the remainder of 4, so if 4 is allocated for each 4 months,
You get the results as shown above. However, in this way, you do not get the maximum number of births in October, so
Since 1 birth out of 28 is moved to October, you get 9 months with 27 births, 2 months with 28 births, and 29 births in October as shown above. The answer is C.
Answer: C
Let's assume that 328 children are born in 1 year. Among these children, if October has the most number of births, what is the least possible value of the number of births in October?
A. 27
B. 28
C. 29
D. 30
E. 31
328 children were born in 1 year and most number of children were born in October. Since the question is about the possible least value of the number of births in October, all other months except Oct. should have the maximum values. If so, there are 12 months in 1 year and 328 children were born in a way that all other months except for Oct. should have the maximum values. So if you divide 328 by 12, \(328 = 12(27) + 4\), and the number divided by 27 has the remainder of 4, so if 4 is allocated for each 4 months,
You get the results as shown above. However, in this way, you do not get the maximum number of births in October, so
Since 1 birth out of 28 is moved to October, you get 9 months with 27 births, 2 months with 28 births, and 29 births in October as shown above. The answer is C.
Answer: C
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