In Jonathan’s pen there are 300 sheep’s. 5/6 of the sheep’s are white, 2/3 of the sheep’s have soft wool. What can’t be the number of white sheep’s that also have soft wool in the pen?
Answer(s): A
There are (5/6 x 300 = 250) white sheep’s. There are (2/3 x 300 = 200) soft woolen sheep’s.The maximum overlap is the size of the smallest among the groups, thus 200. The minimum overlap is (250 + 200 – 300 = 150).Therefore, the number of sheep’s can be somewhere between 150 and 200.
Ross has 40 shirts, ¾ of the shirts are green and 1/10 is without buttons. Therefore Ross has between and shirts with buttons that are not green.
Notice that the groups that we are looking for a overlapping are the not-green shirts and the buttoned ones. The not-green shirts are a quarter of 40, 10 shirts.The shirts with buttons are (9/10 x 40 = 36).The maximum overlapping is the size of the smallest group: 10. The minimum overlapping is: 36 + 10 – 40 = 6. Therefore, A is the answer.
In the Kan film festival, 50 movies were presented. 3/5 of the movies are action movies and 4/5 is science fiction movies. How many of the movies were science fiction action movies?
Answer(s): C
There were (3/5 x 50 = 30) action movies.There were (4/5 x 50 = 40) science fiction movies.Exact overlapping is calculated by minimum overlapping method.Therefore, there are (40 + 30 – 50 = 20) movies that belong to both categories.
There are 200 cats in Cat-City. Out of the 200, 70 are street cats and the rest are domestic cats. 110 cats are gray, 30 out of the gray cats are domestic ones. How many domestic cats are there which are not gray in Cat- City?
Out of 200 cats, 130 are domestic ones. Out of 110 gray cats, 30 are street cats therefore 80 are grey and domestic ones.Altogether there are 130 domestic cats, 80 are grey so (130 – 80) = 50 are not grey.
Chandler is building a fence in the following method: He grounds 10 poles, each 10 Cm thick, in 1 meter spaces from each other. He then connects the poles with a barbed wire. What is the total length of the fence?
Answer(s): D
The total width of the poles is (10 x 0.1 = 1) meter.There are 9 spaces between the poles, each 1 meter, so it’s another 9 meters. The total length is (1 + 9 = 10) meters.
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