M 2. All students in the economics class also study mathematics. Half of those who study literature also study mathematics. Half of the students in the mathematics class study economics. Thirty students study literature and twenty study economics. How many students in the mathematics class study neither economics nor literature? Hint: Draw a Venn diagram to find the answer.
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This division of the Himalayas is demarcated by the river valleys. Punjab Himalayas: This part of the Himalayas lies between the rivers Indus and Satluj. ... Kumaon Himalayas: This part of the Himalayas lies between Satluj and Kali rivers. Nepal Himalayas: This part of the Himalayas lies between Kali and Teesta rivers.
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A venn diagram leads to an answer reeally easily. The outer rectangle (the universe in this context) is the class so there are 60 within that. Draw a circle for Maths (and you could write 30 outisde that). Then a Science circle overlapping partly. You can write 25 outside that to represent the number inside. In the overlapping area there are 15 - put that inside that area not round the edge. Looking at the Maths circle with 30 inside you can see 15 of them are also within the Science loop so you can work out the number in the area that represents liking maths but not science and science but not maths. Adding the numbers within those three areas gives the number who like maths or science or both. That allows you to work out how many are within the rectangle but not within the science or maths loops. It is always better to go back to basic understanding when a topic is new but after a while you will learn a rule which helps as it may give you a short cut. I hope this explanation helps you not just for this question but all similar ones rather than just give you a single answer.
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