Quantitative Reasoning Reviewer 8 (Problem Solving Skills)
1. Leonardo arrives 12 minutes too late for the 14:12 train from Pisa to Milan. This train runs every hour at 12 minutes past the hour. How long must he wait for the next train?
a. 12 minutes
b. 50 minutes
c. 24 minutes
d. 48 minutes
e. 60 minutes
Answer: D
2. The amount of paper recycled is directly proportional to the number of trees that recycling saves. If recycling 2,000 pounds of paper saves 17 trees, how many trees are saved when 5,000 pounds of paper are recycled?
a. 63
b. 45.5
c. 35
d. 42.5
e. 45
Answer: D
3. Arianne decided to sell his 3-year old car at ₱800,000. if she bought it at ₱1,000,000, what is the rate of its depreciation?
a. 20%
b. 35%
c. 80%
d. 2%
e. 75%
Answer: A
1,000,000 - 800,000 = 200,000 200,000/1,000,000 = 0.2 or 20%
4. Mary has a monthly salary of $1200. She spends $280 per month on food. What percent of her monthly salary does she spend on food?
a. 25%
b. 35%
c. 23%
d. 30%
e. 27%
Answer: C
5. A recipe calls for 2 eggs for every 5 cups of flour. A local chef will use 35 cups of flour, how many eggs must he have?
a. 14
b. 16
c. 17
d. 15
e. 18
Answer: A
equation: 2 eggs = x eggs
5 cups 35 cups solve:
2(35) = 5x 14 = x
The chef will need 14 eggs.
6. A man cycling along the road noticed that every 12 minutes a bus overtakes him and every 4 minutes he meets an oncoming bus. If all buses and the cyclist move at a constant speed, what is the time interval between consecutive buses?
a. 6 minutes
b. 8 minutes
c. 9 minutes
d. 5 minutes
e. 10 minutes
Answer: A
7. A dish company needs to ship an order of 117 glass bowls. The company will put the bowls into several boxes. Each box must contain the same number of bowls. How many boxes could the company use for the order?
a. 13
b. 14
c. 12
d. 16
e. 11
Answer: A
8. One trip around a running track is 440 yards. One jogger can complete one lap in 8 minutes, the other can complete it in 6 minutes. How long will it take for both joggers to arrive at their starting point together if they start at the same time and maintain their jogging pace?
a. 15 minutes
b. 36 minutes
c. 24 minutes
d. 48 minutes
e. 12 minutes
Answer: C
9. When Leonardo turns 9, his height is 1.20 m. His height increases by 0.06 m a year during the next 5 years. What will Leonardo's height be when Leonardo turns 14?
a. 1.50 m
b. 1.30 m
c. 1.75 m
d. 1.6 m
e. 1.40 m
Answer: A
The correct answer is 1.50 m. This can be calculated as follows:
1.20 m + (5 years * 0.06 m/year) = 1.20 m + 0.30 m = 1.50 m.
10. Presently, Fred is 4 times as old as Gary. In 10 years, Fred will be 3 times as old as Gary. How old (in years) will Fred be in 3 years?
a. 35
b. 62
c. 83
d. 75
e. 50
Answer: C
Present age of Fred be = F years and Gary's = G years
therefore;
F = 4G
In 10 years;
F+10 = 3(G +10)
or G = 20 years which is Gray's present age
Therefore F = 20 * 4 = 80 years which is the present age (since we know F = 4G)
In 3 years Fred will be = 80 +3 = 83 year
Related:
1. Logical Reasoning Reviewer
2. Criminal Justice System Reviewer
3. Quantitative Reasoning Reviewer 9
a. 12 minutes
b. 50 minutes
c. 24 minutes
d. 48 minutes
e. 60 minutes
Answer: D
2. The amount of paper recycled is directly proportional to the number of trees that recycling saves. If recycling 2,000 pounds of paper saves 17 trees, how many trees are saved when 5,000 pounds of paper are recycled?
a. 63
b. 45.5
c. 35
d. 42.5
e. 45
Answer: D
3. Arianne decided to sell his 3-year old car at ₱800,000. if she bought it at ₱1,000,000, what is the rate of its depreciation?
a. 20%
b. 35%
c. 80%
d. 2%
e. 75%
Answer: A
1,000,000 - 800,000 = 200,000 200,000/1,000,000 = 0.2 or 20%
4. Mary has a monthly salary of $1200. She spends $280 per month on food. What percent of her monthly salary does she spend on food?
a. 25%
b. 35%
c. 23%
d. 30%
e. 27%
Answer: C
5. A recipe calls for 2 eggs for every 5 cups of flour. A local chef will use 35 cups of flour, how many eggs must he have?
a. 14
b. 16
c. 17
d. 15
e. 18
Answer: A
equation: 2 eggs = x eggs
5 cups 35 cups solve:
2(35) = 5x 14 = x
The chef will need 14 eggs.
6. A man cycling along the road noticed that every 12 minutes a bus overtakes him and every 4 minutes he meets an oncoming bus. If all buses and the cyclist move at a constant speed, what is the time interval between consecutive buses?
a. 6 minutes
b. 8 minutes
c. 9 minutes
d. 5 minutes
e. 10 minutes
Answer: A
7. A dish company needs to ship an order of 117 glass bowls. The company will put the bowls into several boxes. Each box must contain the same number of bowls. How many boxes could the company use for the order?
a. 13
b. 14
c. 12
d. 16
e. 11
Answer: A
8. One trip around a running track is 440 yards. One jogger can complete one lap in 8 minutes, the other can complete it in 6 minutes. How long will it take for both joggers to arrive at their starting point together if they start at the same time and maintain their jogging pace?
a. 15 minutes
b. 36 minutes
c. 24 minutes
d. 48 minutes
e. 12 minutes
Answer: C
9. When Leonardo turns 9, his height is 1.20 m. His height increases by 0.06 m a year during the next 5 years. What will Leonardo's height be when Leonardo turns 14?
a. 1.50 m
b. 1.30 m
c. 1.75 m
d. 1.6 m
e. 1.40 m
Answer: A
The correct answer is 1.50 m. This can be calculated as follows:
1.20 m + (5 years * 0.06 m/year) = 1.20 m + 0.30 m = 1.50 m.
10. Presently, Fred is 4 times as old as Gary. In 10 years, Fred will be 3 times as old as Gary. How old (in years) will Fred be in 3 years?
a. 35
b. 62
c. 83
d. 75
e. 50
Answer: C
Present age of Fred be = F years and Gary's = G years
therefore;
F = 4G
In 10 years;
F+10 = 3(G +10)
or G = 20 years which is Gray's present age
Therefore F = 20 * 4 = 80 years which is the present age (since we know F = 4G)
In 3 years Fred will be = 80 +3 = 83 year
Related:
1. Logical Reasoning Reviewer
2. Criminal Justice System Reviewer
3. Quantitative Reasoning Reviewer 9