Use Venn diagrams to answer each of the following questions. You must show your Venn diagram for each problem. 1. A survey of 80 sophomores at a certain western college showed the following: 36 take English ,32 take history 32 take political science 16 take history and English 16 take political science and history ,14 take political science and English 6 take all three How many students: a) take English and neither of the other two? ____________ b) Take none of the three courses? ____________ c) take history, but neither of the other two? ____________ d) take political science and history but not English? ____________ e) do not take political science?

A new apartment complex purchased 60 toilets and 20 shower heads. If the price of a toilet is three times the price of a shower head, what percent of the total cost was the cost of all the shower heads?

A car averages 55 mph for the first 4 hours of a trip and averages 70 mph for each additional hour. The average speed for the entire trip was 60 mph. How many hours long is the trip?

In 1991, was the number of people in City A three times greater then the number of people in City B? 1) In 1991, there were approximately 1.1 million more people in City A than in City B. 2) In 1991, the 300,000 Catholics in City A made up 20% of its population, and the 141,000 Buddhists in City B made up 30% of its population. a) if statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question. b) if statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question. c) if BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient. d) if EACH statement ALONE is sufficient to answer the question asked. e) if statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

If the ticket sales s for a company increases 25% from standard sales to 60 tickets sold, then 60 - s =:

in some game 139 members have participated every time one fellow will get bye what is the number of matches to choose the champion to be held?

Explain the logic k=num%10; sum=sum+k; num=num/10;

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A anb B working seperately can do a piece of work in and 12 days respectively . if they work for a day alternatively , A begining , in how many days ,the work will be completed..(** please give the explanation**)

Q) A store owner decided to raise the price of a particular item by exactly 10%. Of the following which is NOT the new price? a) $1.10 b) $8.80 c) $11.00 d) $57.30 e) $78.10

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A man engaged a servant on a condn that he’ll pay Rs 90 and also give him a bag at the end of the yr. He served for 9 months and was given a turban and Rs 65. So the price of turban is i. Rs : 10 19 0 55

12. A train 120 metres long passes an electric pole in 12 seconds and another train of same length traveling in opposite direction in 8 seconds. The speed of the second train is

600 to be seated.10benches are less.so 2 more persons are required to be seated in each bench.so how many benches. 209 36 44 60

Selling a ac gains 25% on SP.what %gain on CP. 15 25 33.33 47.5