How to find the part from the whole - GRE Quantitative Reasoning
Card 0 of 80
What is 
of 
?
What is
To find the part from the whole, just take the percentage and turn it into an algebra problem.
In decimal form, 20% is .2. To turn it into an equation, recognize that "is" means equal to and "of" means multiply.
Therefore, "17% of 325" becomes (.17)(325) = X.
A way of solving this without a calculator:
10% of 325 is easy to find: 32.5.
20% will be twice as much as 10%, so 65.
1% is easy to find: 3.25.
3% is three times 1%: 9.75.
20% – 3% = 17%
65 – 9.75 = 55.25
To find the part from the whole, just take the percentage and turn it into an algebra problem.
In decimal form, 20% is .2. To turn it into an equation, recognize that "is" means equal to and "of" means multiply.
Therefore, "17% of 325" becomes (.17)(325) = X.
A way of solving this without a calculator:
10% of 325 is easy to find: 32.5.
20% will be twice as much as 10%, so 65.
1% is easy to find: 3.25.
3% is three times 1%: 9.75.
20% – 3% = 17%
65 – 9.75 = 55.25
Compare your answer with the correct one above
Bob and Nancy, while working together at the same rate, can clean their entire house in 3 hours. What fraction of the house can Bob clean in 45 minutes?
Bob and Nancy, while working together at the same rate, can clean their entire house in 3 hours. What fraction of the house can Bob clean in 45 minutes?
Since Bob and Nancy work at the same rate, each person can finish 
of the job in 3 hours. Because 45 minutes is 
of 3 hours, Bob working alone would get 
of the job done, 
.
Since Bob and Nancy work at the same rate, each person can finish
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A given colony of ants was made up of 
insects. 
% of these were workers and 
% were drones. If the remainder were warrirors, how many warriors were there?
A given colony of ants was made up of
To begin with, you know that there are 
, or 
% that are warriors. This means that 
% of 
are warriors. Remember, translate of as multiplication and "are" / "is" as equals. This gives you:
warriors.
To begin with, you know that there are
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If 
% of students in a school have brown eyes and the rest have green, how many green-eyed students are there in a school of 
students?
If
Based on our data, we know that 
, or 
percent of the students have green eyes. Explicitly written, this is: 
percent of 
students are green-eyed.
Remember that we translate "of" as multiplication and "is" / "are" as equals. Therefore, this is:
Based on our data, we know that
Remember that we translate "of" as multiplication and "is" / "are" as equals. Therefore, this is:
Compare your answer with the correct one above
Quantitative Comparison
Quantity A: 10% of $45
Quantity B: 45% of $10
Quantitative Comparison
Quantity A: 10% of $45
Quantity B: 45% of $10
Quantity A: .1 * 45 = $4.50
Quantity B: .45 * 10 = $4.50
Therefore the two quantities are equal. This is always true: a% of $b = b% of $a.
Quantity A: .1 * 45 = $4.50
Quantity B: .45 * 10 = $4.50
Therefore the two quantities are equal. This is always true: a% of $b = b% of $a.
Compare your answer with the correct one above
What percent of 5 is 
?
What percent of 5 is
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Quantity A:
, where 
is 
of 
Quantity B:
, where 
is 
of 
Which of the following is true?
Quantity A:
Quantity B:
Which of the following is true?
This type of problem is very easy. You merely need to translate the text into the form of an equation. For this, remember that "of" is translated as multiplication and "is" as equality. This gives us the following.
Quantity A:
is 
of 
Becomes...
Quantity B:
is 
of 
Becomes...
Therefore, quantity B is larger.
This type of problem is very easy. You merely need to translate the text into the form of an equation. For this, remember that "of" is translated as multiplication and "is" as equality. This gives us the following.
Quantity A:
Becomes...
Quantity B:
Becomes...
Therefore, quantity B is larger.
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Quantity A:
, where 
is 
of 
Quantity B:
, where 
is 
of 
Which of the following is true?
Quantity A:
Quantity B:
Which of the following is true?
This type of problem is very easy. You merely need to translate the text into the form of an equation. For this, remember that "of" is translated as multiplication and "is" as equality. This gives us the following.
Quantity A:
is 
of 
Becomes...
Quantity B:
is 
of 
Becomes...
Therefore, quantity B is larger.
This type of problem is very easy. You merely need to translate the text into the form of an equation. For this, remember that "of" is translated as multiplication and "is" as equality. This gives us the following.
Quantity A:
Becomes...
Quantity B:
Becomes...
Therefore, quantity B is larger.
Compare your answer with the correct one above
Quantity A:
, where 
is 
of 
Quantity B:
, where 
is 
of 
Which of the following is true?
Quantity A:
Quantity B:
Which of the following is true?
This type of problem is very easy. You merely need to translate the text into the form of an equation. For this, remember that "of" is translated as multiplication and "is" as equality. This gives us the following.
Quantity A:
is 
of 
Becomes...
Quantity B:
is 
of 
Becomes...
Therefore, the two quantities are equal.
This type of problem is very easy. You merely need to translate the text into the form of an equation. For this, remember that "of" is translated as multiplication and "is" as equality. This gives us the following.
Quantity A:
Becomes...
Quantity B:
Becomes...
Therefore, the two quantities are equal.
Compare your answer with the correct one above
A bag contains 
. 
are quarters, 
are dimes and the rest are nickels. How much money is in the bag in nickels?
A bag contains
To solve this problem we must first find what percent of the money in the bag is in nickels. We know that combined, quarters and dimes make up 40% of the coins and that the rest are nickels. Therefore 60% of the money in the bag are nickels. We then multiply the total amount of coins in the bag with that percentage in order to find out how many nickels are in the bag. 
. There are 300 nickels in the bag and nickels are worth 5 cents each. Therefore 
worth of nickels in the bag.
To solve this problem we must first find what percent of the money in the bag is in nickels. We know that combined, quarters and dimes make up 40% of the coins and that the rest are nickels. Therefore 60% of the money in the bag are nickels. We then multiply the total amount of coins in the bag with that percentage in order to find out how many nickels are in the bag.
Compare your answer with the correct one above
Quantitative Comparison
Quantity A: 10% of $45
Quantity B: 45% of $10
Quantitative Comparison
Quantity A: 10% of $45
Quantity B: 45% of $10
Quantity A: .1 * 45 = $4.50
Quantity B: .45 * 10 = $4.50
Therefore the two quantities are equal. This is always true: a% of $b = b% of $a.
Quantity A: .1 * 45 = $4.50
Quantity B: .45 * 10 = $4.50
Therefore the two quantities are equal. This is always true: a% of $b = b% of $a.
Compare your answer with the correct one above
What percent of 5 is ?
What percent of 5 is
Compare your answer with the correct one above
Quantity A:
, where is of
Quantity B:
, where is of
Which of the following is true?
Quantity A:
Quantity B:
Which of the following is true?
This type of problem is very easy. You merely need to translate the text into the form of an equation. For this, remember that "of" is translated as multiplication and "is" as equality. This gives us the following.
Quantity A:
is of
Becomes...
Quantity B:
is of
Becomes...
Therefore, quantity B is larger.
This type of problem is very easy. You merely need to translate the text into the form of an equation. For this, remember that "of" is translated as multiplication and "is" as equality. This gives us the following.
Quantity A:
Becomes...
Quantity B:
Becomes...
Therefore, quantity B is larger.
Compare your answer with the correct one above
Quantity A:
, where is of
Quantity B:
, where is of
Which of the following is true?
Quantity A:
Quantity B:
Which of the following is true?
This type of problem is very easy. You merely need to translate the text into the form of an equation. For this, remember that "of" is translated as multiplication and "is" as equality. This gives us the following.
Quantity A:
is of
Becomes...
Quantity B:
is of
Becomes...
Therefore, quantity B is larger.
This type of problem is very easy. You merely need to translate the text into the form of an equation. For this, remember that "of" is translated as multiplication and "is" as equality. This gives us the following.
Quantity A:
Becomes...
Quantity B:
Becomes...
Therefore, quantity B is larger.
Compare your answer with the correct one above
Quantity A:
, where is of
Quantity B:
, where is of
Which of the following is true?
Quantity A:
Quantity B:
Which of the following is true?
This type of problem is very easy. You merely need to translate the text into the form of an equation. For this, remember that "of" is translated as multiplication and "is" as equality. This gives us the following.
Quantity A:
is of
Becomes...
Quantity B:
is of
Becomes...
Therefore, the two quantities are equal.
This type of problem is very easy. You merely need to translate the text into the form of an equation. For this, remember that "of" is translated as multiplication and "is" as equality. This gives us the following.
Quantity A:
Becomes...
Quantity B:
Becomes...
Therefore, the two quantities are equal.
Compare your answer with the correct one above
A bag contains . are quarters, are dimes and the rest are nickels. How much money is in the bag in nickels?
A bag contains
To solve this problem we must first find what percent of the money in the bag is in nickels. We know that combined, quarters and dimes make up 40% of the coins and that the rest are nickels. Therefore 60% of the money in the bag are nickels. We then multiply the total amount of coins in the bag with that percentage in order to find out how many nickels are in the bag. . There are 300 nickels in the bag and nickels are worth 5 cents each. Therefore worth of nickels in the bag.
To solve this problem we must first find what percent of the money in the bag is in nickels. We know that combined, quarters and dimes make up 40% of the coins and that the rest are nickels. Therefore 60% of the money in the bag are nickels. We then multiply the total amount of coins in the bag with that percentage in order to find out how many nickels are in the bag.
Compare your answer with the correct one above
What is of ?
What is
To find the part from the whole, just take the percentage and turn it into an algebra problem.
In decimal form, 20% is .2. To turn it into an equation, recognize that "is" means equal to and "of" means multiply.
Therefore, "17% of 325" becomes (.17)(325) = X.
A way of solving this without a calculator:
10% of 325 is easy to find: 32.5.
20% will be twice as much as 10%, so 65.
1% is easy to find: 3.25.
3% is three times 1%: 9.75.
20% – 3% = 17%
65 – 9.75 = 55.25
To find the part from the whole, just take the percentage and turn it into an algebra problem.
In decimal form, 20% is .2. To turn it into an equation, recognize that "is" means equal to and "of" means multiply.
Therefore, "17% of 325" becomes (.17)(325) = X.
A way of solving this without a calculator:
10% of 325 is easy to find: 32.5.
20% will be twice as much as 10%, so 65.
1% is easy to find: 3.25.
3% is three times 1%: 9.75.
20% – 3% = 17%
65 – 9.75 = 55.25
Compare your answer with the correct one above
Bob and Nancy, while working together at the same rate, can clean their entire house in 3 hours. What fraction of the house can Bob clean in 45 minutes?
Bob and Nancy, while working together at the same rate, can clean their entire house in 3 hours. What fraction of the house can Bob clean in 45 minutes?
Since Bob and Nancy work at the same rate, each person can finish of the job in 3 hours. Because 45 minutes is of 3 hours, Bob working alone would get of the job done, .
Since Bob and Nancy work at the same rate, each person can finish
Compare your answer with the correct one above
A given colony of ants was made up of insects. % of these were workers and % were drones. If the remainder were warrirors, how many warriors were there?
A given colony of ants was made up of
To begin with, you know that there are , or % that are warriors. This means that % of are warriors. Remember, translate of as multiplication and "are" / "is" as equals. This gives you:
warriors.
To begin with, you know that there are
Compare your answer with the correct one above
If % of students in a school have brown eyes and the rest have green, how many green-eyed students are there in a school of students?
If
Based on our data, we know that , or percent of the students have green eyes. Explicitly written, this is: percent of students are green-eyed.
Remember that we translate "of" as multiplication and "is" / "are" as equals. Therefore, this is:
Based on our data, we know that
Remember that we translate "of" as multiplication and "is" / "are" as equals. Therefore, this is:
Compare your answer with the correct one above