Quantitative Reasoning Reviewer 10 (Problem Solving Skills)
1. Smith invested $5000 for two years. For the first year, the rate of interest was 7% and the second year it was 8.5%. How much interest did he earn at the end of the two year period?
a. $654.08
b. $804.75
c. $920.54
d. $670.34
e. $440.45
Answer: B
Interest at the end of the first year:
7% * 5000 = $350
Interest at the end of the second year:
8.5% * (5000 + 350) = $454.75
Total interest at the end of the two year period is:
$350 + $454.75 = $804.75
Answer=$804.75
2. The ratio of the number of carabao's, goats and cows in a farm is 5 : 1 : 2. If there are 48 animals of these kinds in his backyard, how many of them are goats?
a. 6
b. 10
c. 4
d. 8
e. 2
Answer: A
3. What is the marked price of a pair of shoes which was discounted ₱350 at 35% discount?
a. ₱1,000
b. ₱3,500
c. ₱3,000
d. ₱4,500
e. ₱2,000
Answer: A
350/ 0.35 = 1,000
4. A rug manufacturer produces rugs at a cost of ₱75 per rug. What is the manufacturer's gross profit from the sale of 150 rugs if 2/3 of the rugs are sold for ₱150 per rug and the rest are sold for ₱200 per rug?
a. ₱ 17,800
b. ₱ 16,250
c. ₱ 10,350
d. ₱ 13,750
e. ₱ 11,250
Answer: D
Total production cost = 150*75 = 11250
Selling price of the 2/3 of 150 rugs = 100 * 150 =- 15000
Selling price of 50 rugs = 50*200 =10000
Total sales = 10000 + 15000 = 25000
Gross profit = 25000 - 11250 = 13750
Answer= ₱ 13,750
5. In the Philippines, 13 out of every 20 cans are recycled. What percent of cans are recycled?
a. 40%
b. 75%
c. 55%
d. 80%
e. 65%
Answer: E
13/20 = 0.65
Answer= 65%
6. A desk is being sold at a 36% discount. The sale price is $496. What was its original price?
a. $575
b. $950
c. $775
d. $650
e. $800
Answer: C
Step 1:
Let the original price be = x
Discount rate = 36%
Step 2:
Discount = 36% of x = 0.36 × x = 0.36x
Sale price = Original price − Discount = x − 0.36x = 0.64x
Step 3:
Sale price = $496 = 0.64x
Solving for x
x = 496/0*64 = $775
So, original price = $775
7. A tank has a capacity of 200 pints. How many gallons of water would it take to fill the tank to 3/10 of its capacity? (1 gallon = 8 pints)
a. 7 gallons
b. 8 gallons
c. 8.5 gallons
d. 9 gallons
e. 7.5 gallons
Answer: E
since 1 gallon = 8 pints;
200/8 gallons is the capacity => 25 gallons
3/10 of capacity of 25 gallons=> 3/10*25
Answer=> 75/10 or 7.5
8. Five out of every seven households have cable TV. If 42,000 households in a certain city have a TV, how many do not have cable TV?
a. 12,000
b. 15,000
c. 16,000
d. 13,000
e. 14,500
Answer: A
The given ratio is 5 cable TV/ 7 households.
equation: 5 cable TV = x cable TV
7 household 42000 household
solve: 5(42000) = 7x
30000 = x
In the proportion the variable represents how many have cable TV. However, the question asks how many do not have cable TV. Do not assume that once you solve the equation you have answered the question.
Total household with TV - have cable = do not have cable
42000 - 30000 = 12000
Out of the 42,000 households that have a TV, 12000 do not have cable TV.
9. Five bananas weigh as much as 3 star apples. In this rate, how many star apples will weigh as much as 45 bananas?
a. 29
b. 27
c. 30
d. 28
e. 31
Answer: B
10. The elevator in an eleven-story office building travels at the rate of one floor per 1/4 minute, which allows time for picking up and discharging passengers. At the main floor and at the top floor, the operator stops for 1 minute. How many complete trips will an operator make during a 7-hour period?
a. 60 trips
b. 56 trips
c. 64 trips
d. 42 trips
e. 88 trips
Answer: A
Complete trip = 10 floors up and 10 floors down = 20 floors = 20*1/4 = 5 minutes plus 2 minutes = 7 minutes.
7 hour = 420 minutes.
In 420 minutes operator can make 420/7=60 trips.
Answer: 60 trips
Related:
1. Logical Reasoning Reviewer
2. Reading Comprehension Reviewer
3. Quantitative Reasoning Reviewer 11
a. $654.08
b. $804.75
c. $920.54
d. $670.34
e. $440.45
Answer: B
Interest at the end of the first year:
7% * 5000 = $350
Interest at the end of the second year:
8.5% * (5000 + 350) = $454.75
Total interest at the end of the two year period is:
$350 + $454.75 = $804.75
Answer=$804.75
2. The ratio of the number of carabao's, goats and cows in a farm is 5 : 1 : 2. If there are 48 animals of these kinds in his backyard, how many of them are goats?
a. 6
b. 10
c. 4
d. 8
e. 2
Answer: A
3. What is the marked price of a pair of shoes which was discounted ₱350 at 35% discount?
a. ₱1,000
b. ₱3,500
c. ₱3,000
d. ₱4,500
e. ₱2,000
Answer: A
350/ 0.35 = 1,000
4. A rug manufacturer produces rugs at a cost of ₱75 per rug. What is the manufacturer's gross profit from the sale of 150 rugs if 2/3 of the rugs are sold for ₱150 per rug and the rest are sold for ₱200 per rug?
a. ₱ 17,800
b. ₱ 16,250
c. ₱ 10,350
d. ₱ 13,750
e. ₱ 11,250
Answer: D
Total production cost = 150*75 = 11250
Selling price of the 2/3 of 150 rugs = 100 * 150 =- 15000
Selling price of 50 rugs = 50*200 =10000
Total sales = 10000 + 15000 = 25000
Gross profit = 25000 - 11250 = 13750
Answer= ₱ 13,750
5. In the Philippines, 13 out of every 20 cans are recycled. What percent of cans are recycled?
a. 40%
b. 75%
c. 55%
d. 80%
e. 65%
Answer: E
13/20 = 0.65
Answer= 65%
6. A desk is being sold at a 36% discount. The sale price is $496. What was its original price?
a. $575
b. $950
c. $775
d. $650
e. $800
Answer: C
Step 1:
Let the original price be = x
Discount rate = 36%
Step 2:
Discount = 36% of x = 0.36 × x = 0.36x
Sale price = Original price − Discount = x − 0.36x = 0.64x
Step 3:
Sale price = $496 = 0.64x
Solving for x
x = 496/0*64 = $775
So, original price = $775
7. A tank has a capacity of 200 pints. How many gallons of water would it take to fill the tank to 3/10 of its capacity? (1 gallon = 8 pints)
a. 7 gallons
b. 8 gallons
c. 8.5 gallons
d. 9 gallons
e. 7.5 gallons
Answer: E
since 1 gallon = 8 pints;
200/8 gallons is the capacity => 25 gallons
3/10 of capacity of 25 gallons=> 3/10*25
Answer=> 75/10 or 7.5
8. Five out of every seven households have cable TV. If 42,000 households in a certain city have a TV, how many do not have cable TV?
a. 12,000
b. 15,000
c. 16,000
d. 13,000
e. 14,500
Answer: A
The given ratio is 5 cable TV/ 7 households.
equation: 5 cable TV = x cable TV
7 household 42000 household
solve: 5(42000) = 7x
30000 = x
In the proportion the variable represents how many have cable TV. However, the question asks how many do not have cable TV. Do not assume that once you solve the equation you have answered the question.
Total household with TV - have cable = do not have cable
42000 - 30000 = 12000
Out of the 42,000 households that have a TV, 12000 do not have cable TV.
9. Five bananas weigh as much as 3 star apples. In this rate, how many star apples will weigh as much as 45 bananas?
a. 29
b. 27
c. 30
d. 28
e. 31
Answer: B
10. The elevator in an eleven-story office building travels at the rate of one floor per 1/4 minute, which allows time for picking up and discharging passengers. At the main floor and at the top floor, the operator stops for 1 minute. How many complete trips will an operator make during a 7-hour period?
a. 60 trips
b. 56 trips
c. 64 trips
d. 42 trips
e. 88 trips
Answer: A
Complete trip = 10 floors up and 10 floors down = 20 floors = 20*1/4 = 5 minutes plus 2 minutes = 7 minutes.
7 hour = 420 minutes.
In 420 minutes operator can make 420/7=60 trips.
Answer: 60 trips
Related:
1. Logical Reasoning Reviewer
2. Reading Comprehension Reviewer
3. Quantitative Reasoning Reviewer 11