Problem-Solving Questions - GMAT Quantitative
Card 1 of 16904
What is the probability of rolling an even number on a standard dice?
What is the probability of rolling an even number on a standard dice?
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A standard dice has 6 faces numbered 
.
There are 
even numbers, 
, divided by the total number of faces:
A standard dice has 6 faces numbered
There are
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What is the area of a rectangle given the length of 
and width of 
?
What is the area of a rectangle given the length of
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To find the area of a rectangle, you must use the following formula:
To find the area of a rectangle, you must use the following formula:
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Find the perimeter of a rectangle whose width is 
and length is 
.
Find the perimeter of a rectangle whose width is
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To solve, simply use the formula for the perimeter of a rectangle:
To solve, simply use the formula for the perimeter of a rectangle:
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Fill in the blank:
Fill in the blank:
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One yard is equal to 36 inches; one square yard is equal to 
.
Multiply this conversion factor by 13:
, the correct choice.
One yard is equal to 36 inches; one square yard is equal to
Multiply this conversion factor by 13:
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Two jars each hold a quantity of water. The first jar is 20% full; the second jar, which has twice the capacity of the first, is 40% full. The total amount of water in the two jars is 600 milliliters.
How much more water will the first (smaller) jar hold before it is completely full?
Two jars each hold a quantity of water. The first jar is 20% full; the second jar, which has twice the capacity of the first, is 40% full. The total amount of water in the two jars is 600 milliliters.
How much more water will the first (smaller) jar hold before it is completely full?
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Call the capacity of the first jar, in milliliters, 
; the capacity of the second jar is therefore twice this, or 
.
The first jar is 20% full, so the amount of water in this jar is currently 
milliliters. The second jar is 40% full, so it contains 
milliliters of water. Therefore, since the total amount of water is 600 milliliters:
The first jar has a capacity of 600 milliliters. It is 20% full, so it has
milliliters of water, and it can hold
milliliters more. Divide by 1,000 milliliters per liter to convert to liters:; this is
liters.
Call the capacity of the first jar, in milliliters,
The first jar is 20% full, so the amount of water in this jar is currently
The first jar has a capacity of 600 milliliters. It is 20% full, so it has
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Two jars of identical size each hold a quantity of water; the first jar is 
full, the second, 
full. The total amount of water in the two jars is 
.
How much more water can be poured into the first jar until it is full?
Two jars of identical size each hold a quantity of water; the first jar is
How much more water can be poured into the first jar until it is full?
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Since the two jars have the same capacity, which we will call 
milliliters, the amount of water in the first and second jars, respectively, are 
, and 
of 
, or 
. The total amount of water is
The capacity of each jar is 
. The first jar is 
full and therefore contains 
milliliters of water; it can hold 
milliliters more.
Divide by 
to convert to liters:
.
Since the two jars have the same capacity, which we will call
The capacity of each jar is
Divide by
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A jar is 40% full of water. If 250 milliliters of water are added, the jar will be half full. What is the total capacity of the jar?
A jar is 40% full of water. If 250 milliliters of water are added, the jar will be half full. What is the total capacity of the jar?
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Since the addition of 250 milliliters of water changes the status of the jar from 40% full to half, or 50%, full, then 250 milliliters is 
of the capacity of the jar. Therefore, the jar holds
milliliters of water total.
Divide by 1,000 milliliters per liter to convert to liters:
liters.
Since the addition of 250 milliliters of water changes the status of the jar from 40% full to half, or 50%, full, then 250 milliliters is
Divide by 1,000 milliliters per liter to convert to liters:
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Two jars each contain a quantity of water. The first jar is filled to capacity. The second jar has 40% greater capacity than the first jar, and contains 20% less water. If the second jar is 
full, which of the following is equal to 
?
Two jars each contain a quantity of water. The first jar is filled to capacity. The second jar has 40% greater capacity than the first jar, and contains 20% less water. If the second jar is
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For the sake of simplicity, assume that the first jar holds 100 milliliters of water - this reasoning is independent of the actual capacity. The second jar holds 40% more water, which is
milliliters capacity.
The first jar is filled to capacity, so it holds 100 milliliters of water. The second jar contains 20% less water, so it contains
milliliters of water.
The jar is 
full.
For the sake of simplicity, assume that the first jar holds 100 milliliters of water - this reasoning is independent of the actual capacity. The second jar holds 40% more water, which is
The first jar is filled to capacity, so it holds 100 milliliters of water. The second jar contains 20% less water, so it contains
The jar is
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An empty jar has capacity two liters. There are several other jars of equal capacity (to each other, but not necessarily to the first); each contains water to 25% capacity.
The contents of eight of the other jars are emptied into the two-liter jar when it is discovered that there is not enough space left in that jar to hold all of the contents of another of the other jars. What could the capacity of each of the other jars be?
An empty jar has capacity two liters. There are several other jars of equal capacity (to each other, but not necessarily to the first); each contains water to 25% capacity.
The contents of eight of the other jars are emptied into the two-liter jar when it is discovered that there is not enough space left in that jar to hold all of the contents of another of the other jars. What could the capacity of each of the other jars be?
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Let 
be the capacity, in liters, of each of the other jars. Since each jar is 25% full, the amount of water in each jar is 25% of 
, or 
. The contents of eight such jars will fit in the two-liter jar, so
This means each jar can be at most one liter in capacity.
The contents of nine such jars will not fit, however, so
This means that each jar must be at least about 0.88 liters in capacity.
The only choice that falls in this range is 0.9 liters, so this is the correct choice.
Let
This means each jar can be at most one liter in capacity.
The contents of nine such jars will not fit, however, so
This means that each jar must be at least about 0.88 liters in capacity.
The only choice that falls in this range is 0.9 liters, so this is the correct choice.
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Two jars have identical capacity. The first jar contains 200 milliliters of water. The contents of the second jar, which is 10% full, are poured into the first, after which the first jar contains 250 milliliters.
Give the capacity of the first jar.
Two jars have identical capacity. The first jar contains 200 milliliters of water. The contents of the second jar, which is 10% full, are poured into the first, after which the first jar contains 250 milliliters.
Give the capacity of the first jar.
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The second jar was 10% full and contained 
milliliters of water. Therefore, the capacity of the second jar, which is also that of the first, is
milliliters.
Divide this by the conversion factor of 1,000 to convert to liters:
liters, the correct response.
The second jar was 10% full and contained
Divide this by the conversion factor of 1,000 to convert to liters:
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Vanessa purchased an mp3 player, originally priced at $290, but discounted by $27. Approximately what percent discount did Vanessa receive on the mp3 player?
Vanessa purchased an mp3 player, originally priced at $290, but discounted by $27. Approximately what percent discount did Vanessa receive on the mp3 player?
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27 is a little less than 29, which is 10% of $290. Therefore, 9% is the closest approximation.
27 is a little less than 29, which is 10% of $290. Therefore, 9% is the closest approximation.
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What is the product of all of the prime numbers between 20 and 30?
What is the product of all of the prime numbers between 20 and 30?
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There are two prime numbers between 20 and 30; they are 23 and 29. Their product:
There are two prime numbers between 20 and 30; they are 23 and 29. Their product:
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The first and third terms of a geometric sequence are 
and 
, in that order. Give the eighth term.
(Assume 
is positive.)
The first and third terms of a geometric sequence are
(Assume
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Let 
be the common ratio of the geometric sequence. Then the third term is 
times the first, so
and
.
The eighth term of the sequence is
Let
and
The eighth term of the sequence is
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You are given that the product of eight nonzero numbers is negative. Which of the following is not possible?
You are given that the product of eight nonzero numbers is negative. Which of the following is not possible?
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The product of a group of nonzero numbers is negative if and only if an odd number of these factors is negative. This occurs in each of these scenarios except for one - all of the numbers (eight) being negative.
The product of a group of nonzero numbers is negative if and only if an odd number of these factors is negative. This occurs in each of these scenarios except for one - all of the numbers (eight) being negative.
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How many integers 
satisfy the following inequality:
How many integers
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There are two integers between 2.25 and 4.5, which are 3 and 4.
There are two integers between 2.25 and 4.5, which are 3 and 4.
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What is the sum of the prime numbers that are greater than 50 but less than 60?
What is the sum of the prime numbers that are greater than 50 but less than 60?
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A prime number is only divisible by the number 1 and itself. Of the integers between 50 and 60, all of the even integers are also divisible by the number 2 so they are not prime numbers. The integers 51 and 57 are divisible by 3. The integer 55 is divisible by 5. The only integers that are prime are 53 and 59. The sum of these two integers is 112.
A prime number is only divisible by the number 1 and itself. Of the integers between 50 and 60, all of the even integers are also divisible by the number 2 so they are not prime numbers. The integers 51 and 57 are divisible by 3. The integer 55 is divisible by 5. The only integers that are prime are 53 and 59. The sum of these two integers is 112.
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What is the product of the four smallest prime numbers?
What is the product of the four smallest prime numbers?
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We must remember that 0 and 1 are NOT prime numbers, but 2 is.
The four smallest prime numbers are 2, 3, 5, and 7. Then 2 * 3 * 5 * 7 = 210.
Note: There are NO negative prime numbers, so we don't have to look for tiny, negative numbers here.
We must remember that 0 and 1 are NOT prime numbers, but 2 is.
The four smallest prime numbers are 2, 3, 5, and 7. Then 2 * 3 * 5 * 7 = 210.
Note: There are NO negative prime numbers, so we don't have to look for tiny, negative numbers here.
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If a and b are even integers, what must be odd?
If a and b are even integers, what must be odd?
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The sum (or difference) or 2 even integers is even. Similarly, the product (or quotient) of 2 even integers is also even; therefore the answer must be 
, which can be easily checked by plugging in any two even numbers.
For example, if 
, which is odd.
The sum (or difference) or 2 even integers is even. Similarly, the product (or quotient) of 2 even integers is also even; therefore the answer must be
For example, if
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Three consecutive numbers add up to 36. What is the smallest number?
Three consecutive numbers add up to 36. What is the smallest number?
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The sum of 3 consecutive numbers would be
which simplifies into
Set that equation equal to 36 and solve.
The sum of 3 consecutive numbers would be
which simplifies into
Set that equation equal to 36 and solve.
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Becky has to choose from 4 pairs of pants, 6 shirts, and 2 pairs of shoes for an interview. If an outfit consists of 1 pair of pants, 1 pair of shoes, and 1 shirt, how many options does she have?
Becky has to choose from 4 pairs of pants, 6 shirts, and 2 pairs of shoes for an interview. If an outfit consists of 1 pair of pants, 1 pair of shoes, and 1 shirt, how many options does she have?
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To find total number, multiply the number of each item.
To find total number, multiply the number of each item.
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