Question

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1. If 9999 = 4, 8888 = 8, 1816 = 6, 1212 = 0, then 1919 =?

2.A merchant can place 8 large boxes or 10 small boxes into a carton for shipping. In one shipment, he sent a total of 96 boxes. If there are more large boxes than small boxes, how many cartons did he ship?

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Answer 1

Answer:

We have to count number of holes and type i.e. enclosed or without hole digit of remaining digits in each number.

9999= 4 holes x 1 type = 4

8888=8 holes x 1 type = 8

1816=3 holes x 2 types = 3 x 2 = 6

1212=0 holes x 1 type = 0

So, 1919=2 holes and 2 type => 2 x 2=4

2) A merchant can place 8 large boxes or 10 small boxes into a carton for shipping. In one shipment, he sent a total of 96 boxes. If there are more large boxes than small boxes, how many cartons did he ship? There are (7×8= 56) 7 cartons of larger box and (4×10=40) 4 cartons of smaller box.

I hope I helped you

Answer 2

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1. Consider function f: f(9)=4, f(8)=8, f(6)=6, f(2)=0, and function g: g(n)=f(n mod 10).

Then g(9999)=4,

g(8888)=8, g(1816)=6,

g(1212)=0, and g(1919)

=4.

Answer : 4

2.. If we take into account that Merchant shipped both large as well as small boxes in the cartons.

If we take into account that Merchant shipped both large as well as small boxes in the cartons.If a total of 96 boxes are shipped then the large boxes in the cartons must be a multiple of 8 which means either 16 or 56 large boxes are there.

If we take into account that Merchant shipped both large as well as small boxes in the cartons.If a total of 96 boxes are shipped then the large boxes in the cartons must be a multiple of 8 which means either 16 or 56 large boxes are there.But according to the question that there are more large boxes in the cartons then the small ones, so the number of large boxes must be 56.

If we take into account that Merchant shipped both large as well as small boxes in the cartons.If a total of 96 boxes are shipped then the large boxes in the cartons must be a multiple of 8 which means either 16 or 56 large boxes are there.But according to the question that there are more large boxes in the cartons then the small ones, so the number of large boxes must be 56.And therefore the number of small boxes are reduced to 96 - 56 = 40

If we take into account that Merchant shipped both large as well as small boxes in the cartons.If a total of 96 boxes are shipped then the large boxes in the cartons must be a multiple of 8 which means either 16 or 56 large boxes are there.But according to the question that there are more large boxes in the cartons then the small ones, so the number of large boxes must be 56.And therefore the number of small boxes are reduced to 96 - 56 = 40So the total number of cartons shipped are:

If we take into account that Merchant shipped both large as well as small boxes in the cartons.If a total of 96 boxes are shipped then the large boxes in the cartons must be a multiple of 8 which means either 16 or 56 large boxes are there.But according to the question that there are more large boxes in the cartons then the small ones, so the number of large boxes must be 56.And therefore the number of small boxes are reduced to 96 - 56 = 40So the total number of cartons shipped are:56/8 + 40/10 = 7 + 4 = 11

If we take into account that Merchant shipped both large as well as small boxes in the cartons.If a total of 96 boxes are shipped then the large boxes in the cartons must be a multiple of 8 which means either 16 or 56 large boxes are there.But according to the question that there are more large boxes in the cartons then the small ones, so the number of large boxes must be 56.And therefore the number of small boxes are reduced to 96 - 56 = 40So the total number of cartons shipped are:56/8 + 40/10 = 7 + 4 = 11The second condition can be the merchant shipped all the large boxes in the cartons making the cartons to be 96/8 = 12 cartons.

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