1. Andrew traveled 3/4 of his journey by plane, 1/6 by bus and the rest by walking. What part of his journey did he walk?
3/4 + 1/6 + ? = 1
To get the unknown fraction, let's add first 3/4 and 1/6. The sum is 11/12. Then we subtract 11/12 from 1. So, the answer is 1/12 (d).
2. In high school, the ratio of students who join basketball or volleyball to students who don't join in either game is 3:8. If there are 220 students in this school, how many of them do not join in either game?
For the ratio 3:8, the sum is 11. Let's find the proportion factor by dividing 220 by 11 and we get 20. Then, let's multiply 20 by 8 and we get the final answer 160 (c).
3. Three dogs bark regularly at night. Brownie barks every 12 minutes, Blackie barks every 15 minutes and Whitie barks every 18 minutes. All of them bark together at midnight. At what time will they bark together again?
To answer this problem, we must get the LCM (Least Common Multiple) of 12, 15, and 18. We come up with 180 minutes which is equal to 3 hours. The dogs started at midnight or 12am so they will bark together again after 3 hours or at 3:00 am (c).
4. In Limestone High School, 60% of the freshman class is male. If 90% of the females and 70% of the males are going on a freshman concert, then what percent of the freshman class is going to concert?
Let's first get the percentage of males who are going to the concert i.e. 70% of 60%. The answer is 42% (multiply 0.7 by 60). Next, let's compute the percentage of females i.e. 90% of 40% (since 60% are males). The answer is 36% (0.9 * 40). We take the sum of the percentages we get. 42% + 36% = 78% (c).
5. A group of young men rented a bus for $600. Two men were unable to go so the rent had to be paid by the remaining men, each paying $25. How many men were originally in the group?
We have to compute for the men who are present that time. 600/25 = 24. Then add 2 to 24. So, the original group was composed of 26 men (c).
6. A wealthy businessman divides his estate equally among his 4 grandchildren. One grandchild died and 1/2 of his share was equally divided to the remaining grandchildren and was added to each of their shares. What part of the entire estate did each of the 3 grandchildren receive?
The estate was divided by 4. So, each grandchild got 1/4 of the estate. Let's compute for 1/2 of share of dead grandchild. 1/2 * 1/4 = 1/8. Then divide this by 3. 1/8 * 1/3 = 1/24. Lastly, add this to original share of 1/4. 1/24 + 1/4 = 7/24 (c).
7. A boutique was selling a designer's bag and marked it down 20% for a summer sale. During Holidays, the bag was marked down another 20% from its summer price. If the bag was sold at the Holidays price, what percent of the original price did it sell for?
When the bag was marked down 20% the first time, the price became 80% of the original price. The second time around, it became 80% of 80% of the original price. That would be 0.8 * 80 = 64% (c).
8. The rich Prince sent 50 men to cut 100 trees in 4 weeks. At this rate, how many men should he send to cut 50 trees in 5 weeks?
At first, 100/4 = 25 trees per week. So, the ratio is 50 men is to 25 trees per week (50:25 = 2:1). For 50 trees in 5 weeks, that's 10 trees per week. Given the ratio 2:1, therefore we need 20 men to cut 10 trees per week (a). [2:1 = 20:10]
9. In Algebra class in a College school, 20% are Civil Engineering majors, 30% are IT majors, and the rest are Physics majors. If there are 30 students are Physics majors, how many students are Civil Engineering majors?
20% + 30% + ? = 100%
So, 50% are Physics major and is equal to 30 students. There are 60 students all in all. Therefore, Civil Engineering students are 20% of 60 which is equal to 12 (b).
10. A company has 8 departments, each with 10-16 sub-departments. In each sub-department, there are at least 40 but no more than 60 employees. If 10% of the employees in each sub-department are encoders, what is the minimum number of encoders in this company?
We multiply 8 by 10 by 40 in order to get the minimum employees. 8 * 10 * 40 = 3200. And get 10% of that. 0.10 * 3200 = 320 (c).
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