Test Yourself: GCF/LCM, Ratios/Rates/Proportions Quiz
Ready to master GCF, LCM, ratios, rates, and proportions? Our quiz has got you covered! Whether you're brushing up on your math skills or gearing up for an exam, this quiz will test your knowledge and help you ace those tricky concepts. Get ready to tackle math problems with confidence and ease.
Ratios, rates, and proportions are also essential concepts in mathematics, particularly in real-world applications like finance, science, and engineering. Ratios express the relationship between two quantities, rates compare two different kinds of numbers, and proportions establish equality between two ratios.
Understanding and mastering these topics are Read morecrucial for various academic and practical purposes, from solving mathematical problems to analyzing data and making informed decisions. A quiz on GCF/LCM, ratios, rates, and proportions provides an excellent opportunity to practice and reinforce these skills in a fun and engaging way.
Gcf/LCM, Ratios/Rates/Proportions Questions and Answers
- 1.
If you have to buy multiple items in order to have enough...should you use GCF or LCM to figure it out?
- A.
GCF
- B.
LCM
Correct Answer
B. LCMExplanation
When you need to buy multiple items in order to have enough, you should use the LCM (Least Common Multiple) to figure it out. The LCM represents the smallest common multiple of the given numbers, which means it will give you the minimum number of items needed to have enough of each item. The GCF (Greatest Common Factor) is used to find the largest common factor between numbers, which is not relevant in this scenario.Rate this question:
-
- 2.
If you want to figure out when something will happen again at the same time in the future...should you use GCF or LCM to figure it out?
- A.
GCF
- B.
LCM
Correct Answer
B. LCMExplanation
To figure out when something will happen again at the same time in the future, you should use LCM (Least Common Multiple). LCM is the smallest multiple that two or more numbers have in common. It helps determine the next occurrence of an event happening simultaneously. On the other hand, GCF (Greatest Common Factor) is used to find the largest number that divides evenly into two or more numbers. While GCF is useful for other calculations, it is not applicable in this scenario.Rate this question:
-
- 3.
A __________ is a number that divides evenly into another number.
Correct Answer
factor
FactorExplanation
A factor is a number that divides evenly into another number. Factors are the numbers that can be multiplied together to get a given number. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12 because they can divide 12 without leaving a remainder. The term "factor" is used in mathematics to describe the numbers that divide a given number evenly.Rate this question:
- 4.
Is 7 a PRIME FACTOR of 84?
- A.
True
- B.
False
Correct Answer
A. TrueExplanation
The number 7 is a prime factor of 84 because it is a prime number that divides 84 without leaving a remainder. When 84 is divided by 7, the quotient is 12, which is a whole number. Therefore, 7 is one of the prime factors that compose the number 84.Rate this question:
-
- 5.
The PRIME FACTORS of 18 are 2 and 3.
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
The statement "The prime factors of 18 are 2 and 3" is false.
The prime factorization of 18 is 2×3×32×3×3.
Here's the breakdown:
18 can be divided by 2, resulting in 2×92×9.
Then, 9 can be divided by 3, resulting in 2×3×32×3×3.
So, the prime factors of 18 are 2 and 3, but there are two 3s, not just one. Therefore, the correct answer is false.Rate this question:
-
- 6.
Which set of numbers are all PRIME NUMBERS?
- A.
33, 29, 41, 3
- B.
63, 71, 43, 81
- C.
5, 23, 11, 37
Correct Answer
C. 5, 23, 11, 37Explanation
The set of numbers 5, 23, 11, 37 are all prime numbers because they can only be divided evenly by 1 and themselves. Prime numbers are numbers that have no other factors except for 1 and themselves.Rate this question:
-
- 7.
What are the first three prime numbers?
- A.
0, 1, 2
- B.
1, 2, 3
- C.
2, 3, 5
Correct Answer
C. 2, 3, 5Explanation
The first three prime numbers are 2, 3, and 5. Prime numbers are numbers that are only divisible by 1 and themselves. 0 and 1 are not prime numbers because they have factors other than 1 and themselves. Therefore, the correct answer is 2, 3, 5.Rate this question:
-
- 8.
A Prime Number has only how many FACTORS:
- A.
1
- B.
2
- C.
>2
Correct Answer
B. 2Explanation
A prime number has only two factors, which are 1 and the number itself. This means that it cannot be divided evenly by any other number except for those two. Therefore, the correct answer is 2.Rate this question:
-
- 9.
9 is a Prime Factor of 81.
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
The statement "9 is a prime factor of 81" is false because 9 is not a prime number. A prime factor is a prime number that divides another number exactly without leaving a remainder. However, 9 is a composite number because it can be divided evenly by numbers other than 1 and itself, such as 3. Therefore, 9 cannot be a prime factor of 81.Rate this question:
-
- 10.
3 is the ONLY prime factor of 81.
- A.
True
- B.
False
Correct Answer
A. TrueExplanation
The statement is true because prime factorization breaks down a number into its prime factors. In the case of 81, the prime factorization is 34, indicating that 3 is the only prime factor of 81, and it appears four times in the factorization. This demonstrates that 81 can be expressed as the product of only one prime factor, reinforcing the fact that 3 is the sole prime factor of 81.Rate this question:
-
- 11.
A _____ number is a natural number that's not a prime number.
Correct Answer
composite
COMPOSITEExplanation
A composite number is a natural number that is not a prime number. It can be divided evenly by at least one number other than 1 and itself. In this question, both "composite" and "COMPOSITE" are correct answers as they both refer to the same concept of a non-prime natural number.Rate this question:
- 12.
Is 23 a prime number?
- A.
Yes
- B.
No
Correct Answer
A. YesExplanation
Yes, 23 is a prime number. A prime number is a positive integer greater than 1 that has no positive divisors other than 1 and itself. In the case of 23, it does not have any divisors other than 1 and 23, which meets the definition of a prime number.Rate this question:
-
- 13.
Select ALL the numbers that are prime numbers.
- A.
7
- B.
21
- C.
13
- D.
10
Correct Answer(s)
A. 7
C. 13Explanation
The prime numbers among the given options are:
1. 7
2. 13
Explanation: Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves.
7 and 13 fit this definition, as they cannot be divided evenly by any other positive integer except 1 and themselves.
21 and 10, however, are not prime numbers.
21 is divisible by 1, 3, 7, and 21, so it's not a prime number.
10 is divisible by 1, 2, 5, and 10, so it's also not a prime number.Rate this question:
-
- 14.
Is 35 a prime number?
- A.
Yes
- B.
No
Correct Answer
B. NoExplanation
No, 35 is not a prime number.
A prime number is a natural number greater than 1 that has exactly two distinct positive divisors: 1 and itself.
In the case of 35, it has divisors other than 1 and itself. Specifically, it can be divided evenly by 1, 5, 7, and 35.
Since 35 has more than two distinct positive divisors, it does not meet the criteria to be classified as a prime number. Therefore, 35 is a composite number.Rate this question:
-
- 15.
75 = 7 x 5
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
The equation (75 = 7 times 5) is not accurate.
(75) represents "7 raised to the power of 5," which means multiplying 7 by itself 5 times.
So, (75 = 7 x 7 x 7 x 7 x 7 = 16807).
It's important to understand that exponentiation (raising a number to a power) involves multiplying the base (in this case, 7) by itself the number of times indicated by the exponent (in this case, 5).Rate this question:
-
- 16.
9 4 = 9 x 9 x 9 x 9
- A.
True
- B.
False
Correct Answer
A. TrueExplanation
The given equation states that 9 raised to the power of 4 is equal to 9 multiplied by itself four times. This is true because raising a number to a power means multiplying it by itself the number of times indicated by the power. In this case, 9 raised to the power of 4 means multiplying 9 by itself four times, resulting in the same value as 9 x 9 x 9 x 9. Therefore, the answer is true.Rate this question:
-
- 17.
What is the PRIME FACTORIZATION of 45?
- A.
3 x 3 x 5
- B.
5 x 9
- C.
2 x 3 x 5
Correct Answer
A. 3 x 3 x 5Explanation
The prime factorization of 45 is 3 x 3 x 5. This means that 45 can be broken down into its prime factors, which are 3 and 5. Multiplying these prime factors together gives the original number 45.Rate this question:
-
- 18.
23 x 3 = Answer with a WHOLE NUMBER
Correct Answer
24Explanation
The expression (23 times 3) involves two operations: exponentiation and multiplication.
1. Exponentiation: (23) means "2 raised to the power of 3," which is equivalent to multiplying 2 by itself three times. So, (23 = 2 times 2 times 2 = 8).
2. Multiplication: Once we have the result of (23), which is 8, we then multiply it by 3, as indicated by the expression. So, (8 times 3 = 24).
Therefore, (23 times 3) equals (24).Rate this question:
- 19.
What is the PRIME FACTORIZATION of 56?
- A.
7 x 8
- B.
2 x 4 x 7
- C.
2 x 2 x 2 x 7
Correct Answer
C. 2 x 2 x 2 x 7Explanation
The prime factorization of 56 is 2 x 2 x 2 x 7. This means that 56 can be expressed as the product of these prime numbers. The number 2 is repeated three times because it is a prime factor of 56, and the number 7 is also a prime factor.Rate this question:
-
- 20.
Is 16 prime or composite? answer with one of the words: prime composite
Correct Answer
compositeExplanation
The number 16 is composite because it has factors other than 1 and itself. In this case, 16 can be divided evenly by 2, 4, and 8, in addition to 1 and 16. Therefore, it does not meet the criteria to be classified as a prime number.Rate this question:
- 21.
Which part of this question is most related to the "L" in the LCM? Ben exercises every 12 days and Isabel every 8 days. Ben and Isabel both exercised today. How many days will it be until they exercise together again?
- A.
the soonest time they will exercise together again
- B.
They will exercise at the same time
- C.
Their exercise continues on into the future
Correct Answer
A. the soonest time they will exercise together againExplanation
The "L" in LCM stands for "least", which refers to the smallest common multiple. In this question, the "L" is related to the phrase "the soonest time they will exercise together again". The LCM of 12 and 8 is 24, which means that they will exercise together again after 24 days, which is the soonest time they will exercise together again.Rate this question:
-
- 22.
Which part of this question is most related to the "M" in the LCM? Boxes that are 12 inches tall are being stacked next to boxes that are 18 inches tall. What is the shortest height at which the two stacks will be the same height?
- A.
the soonest time they will exercise together again
- B.
What is the shortest height
- C.
12 inch tall boxes are being stacked next to boxes that are 18 inches tall
Correct Answer
C. 12 inch tall boxes are being stacked next to boxes that are 18 inches tallExplanation
The part of the question that is most related to the "M" in the LCM is "12 inch tall boxes are being stacked next to boxes that are 18 inches tall". This is because the LCM (Least Common Multiple) is the smallest number that is divisible by both 12 and 18. In this case, the LCM represents the shortest height at which the two stacks will be the same height.Rate this question:
-
- 23.
Which part of this question is most related to the "C" in the GCF? Samantha has two pieces of cloth. One piece is 72 inches wide and the other piece is 90 inches wide. She wants to cut both pieces into strips of equal width that are “as wide as possible”. How wide should she cut the strips?
- A.
Dividing the strips into smaller pieces
- B.
Cut equal strips from both the 72 and 90 wide strips
- C.
Wants the widest possible strips
Correct Answer
B. Cut equal strips from both the 72 and 90 wide stripsExplanation
The part of the question that is most related to the "C" in the GCF is "cut equal strips from both the 72 and 90 wide strips". This is because finding the greatest common factor (GCF) involves finding the largest number that divides evenly into both 72 and 90. In this case, cutting equal strips from both the 72 and 90 wide strips would require finding the width that evenly divides into both measurements, which is the purpose of finding the GCF.Rate this question:
-
- 24.
Which part of this question is most related to the "F" in the GCF? Shannon is making identical balloon arrangements for a party. She has 32 maroon balloons, 24 white balloons, and 16 orange balloons. She wants each arrangement to have the same number of each color. What is the greatest number of arrangements that she can make if every balloon is used?
- A.
The greatest number of arrangements
- B.
The different colors of balloons to choose from
- C.
Dividing the balloons into the same number of each color
Correct Answer
C. Dividing the balloons into the same number of each colorExplanation
The part of the question that is most related to the "F" in the GCF is "dividing the balloons into the same number of each color". This is because finding the greatest number of arrangements depends on dividing the total number of balloons evenly among the different colors. To do this, Shannon needs to determine the greatest common factor (GCF) of the total number of each color of balloons.Rate this question:
-
- 25.
Which one of the following uses UNITS as a way to describe what you are talking about?
- A.
Rate
- B.
Ratio
- C.
Both rates and ratios
- D.
None of the above
Correct Answer
A. RateExplanation
A rate is a comparison of two quantities that have different units. It is used to describe how one quantity changes in relation to another quantity. For example, miles per hour is a rate that describes how many miles are traveled in one hour. Therefore, the correct answer is rate because it uses units to describe what you are talking about.Rate this question:
-
- 26.
4 apples per 6 oranges is a ratio but NOT a rate
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
A ratio compares two quantities and can be expressed in the form of a fraction, like 4:6. In this case, the ratio of 4 apples to 6 oranges means that for every 4 apples, there are 6 oranges. On the other hand, a rate compares two quantities with different units and is expressed in terms of a unit rate, such as "apples per oranges." Since the given statement mentions "apples per oranges," it is actually describing a rate rather than a ratio. Therefore, the correct answer is False.Rate this question:
-
- 27.
The correct way to say 34 km/hr is 34 kilometers _______ hour
Correct Answer
perExplanation
The correct way to say 34 km/hr is 34 kilometers per hour. "Per" is the appropriate preposition to express the relationship between kilometers and hours in this context. It indicates the rate of speed or distance traveled in a specific time frame.Rate this question:
- 28.
Imagine that you can eat 4 donuts in 5 minutes. How would you explain the rate of donuts you eat per ONE minute?
- A.
1 donut per 1.5 minutes
- B.
4 donuts per 10 minutes
- C.
0.8 donuts per minute
- D.
1.8 donuts per minute
Correct Answer
C. 0.8 donuts per minuteExplanation
The rate of donuts eaten per one minute can be calculated by dividing the total number of donuts (4) by the total time taken (5 minutes). In this case, 4 divided by 5 equals 0.8. Therefore, the correct answer is 0.8 donuts per minute.Rate this question:
-
- 29.
Mr.Brzezinski can dribble a basketball 140 times in 60 seconds. How many times can he dribble in 10 seconds? Answer: write only the number and round your answer to the tenths decimal place. Hint: think proportionally!
Correct Answer
23.3Explanation
Mr. Brzezinski can dribble a basketball 140 times in 60 seconds. To find out how many times he can dribble in 10 seconds, we can set up a proportion. Since the time is decreasing from 60 seconds to 10 seconds, the number of dribbles will also decrease proportionally. By cross-multiplying and dividing, we find that he can dribble approximately 23.3 times in 10 seconds.Rate this question:
- 30.
When we had our Bubble Blowing Contest, why was a Unit Rate so important and easy to use? Check ALL the answers that you think are correct.
- A.
The Unit Rate used DIFFERENT numbers for the denominator!
- B.
The Unit Rate helped us COMPARE many students rates
- C.
The Unit Rate was always Proportional to the student's ORIGINAL rate!!!
Correct Answer(s)
B. The Unit Rate helped us COMPARE many students rates
C. The Unit Rate was always Proportional to the student's ORIGINAL rate!!!Explanation
A unit rate is important and easy to use in a bubble blowing contest because it allows us to compare the rates of different students. By using the same denominator, we can easily determine which student blew the most bubbles per minute. Additionally, the unit rate is always proportional to the student's original rate, meaning that it accurately reflects their performance in the contest.Rate this question:
-
- 31.
Write the ratio of 96 runners to 216 swimmers in simplest form.
- A.
96/216
- B.
16/36
- C.
4/9
- D.
9/4
Correct Answer
C. 4/9Explanation
The ratio of 96 runners to 216 swimmers can be simplified by dividing both numbers by their greatest common divisor, which is 24. 96 divided by 24 is 4, and 216 divided by 24 is 9. Therefore, the simplified ratio is 4/9.Rate this question:
-
- 32.
Which ratios are equivalent to 4 : 32?
- A.
2 : 96; 2 : 16
- B.
12 : 96; 2 : 16
- C.
12 : 96; 12 : 16
- D.
2 : 96; 12 : 16
Correct Answer
B. 12 : 96; 2 : 16Explanation
The given ratio is 4 : 32. To find equivalent ratios, we need to find ratios that have the same value when simplified. The ratio 12 : 96 can be simplified by dividing both the numerator and denominator by 12 to get 1 : 8. Similarly, the ratio 2 : 16 can be simplified by dividing both the numerator and denominator by 2 to get 1 : 8. Therefore, the ratios 12 : 96 and 2 : 16 are equivalent to 4 : 32.Rate this question:
-
- 33.
The American flag is usually made with its width and length in the ratio of 10 to 19. Which dimensions are in the correct ratio for the flag?
- A.
30 ft by 53 ft
- B.
27 ft by 53 ft
- C.
27 in. by 57 in.
- D.
30 in. by 57 in.
Correct Answer
D. 30 in. by 57 in.Explanation
The correct answer is 30 in. by 57 in. because the ratio of width to length is 10:19, which can be simplified to 30:57.Rate this question:
-
- 34.
Maria tossed a coin 20 times and got 12 heads. What is the first step to find the ratio of the number of tails to the total number of tosses?
- A.
Divide 12 by 20
- B.
Subtract 12 from 20
- C.
Multiply 12 by 20
- D.
Add 12 to 20
Correct Answer
B. Subtract 12 from 20Explanation
To find the ratio of the number of tails to the total number of tosses, we need to subtract the number of heads (12) from the total number of tosses (20). The result will give us the number of tails.Rate this question:
-
- 35.
TRUE or FALSE 16 to 3 equals 27 to 5.
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
The statement "16 to 3 equals 27 to 5" is false. The expression "16 to 3" means 16 raised to the power of 3, which is equal to 4096. On the other hand, "27 to 5" means 27 raised to the power of 5, which is equal to 143,489. Therefore, 16 to 3 is not equal to 27 to 5.Rate this question:
-
- 36.
There are 17 girls and 15 boys in a class. What is the ratio of boys to the whole class?
- A.
17 : 15
- B.
15 : 17
- C.
15 : 32
- D.
17 : 32
- E.
None of the above
Correct Answer
C. 15 : 32Explanation
To find the ratio of boys to the whole class, we need to express the number of boys as a fraction of the total number of students in the class.
Total number of students = Number of girls + Number of boys
Total number of students = 17 (girls) + 15 (boys) = 32 students
So, the ratio of boys to the whole class is 15 : 32.
Therefore, the correct option is: 15 : 32.Rate this question:
-
- 37.
Which of the following ratios is equivalent to the ratio 25 / 35?
- A.
50 / 105
- B.
35 / 25
- C.
70 / 50
- D.
5 / 7
- E.
7 / 5
Correct Answer
D. 5 / 7Explanation
The ratio 25/35 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 5. This simplifies the ratio to 5/7.
Rate this question:
-
- 38.
Rico and Lamar split a profit in the ratio 3 : 4. Rico received $60. How much money did Lamar receive?
- A.
$120
- B.
$80
- C.
$160
- D.
$20
- E.
None
Correct Answer
B. $80Explanation
Rico and Lamar split the profit in a ratio of 3:4. Since Rico received $60, we can assume that this represents 3 parts of the ratio. To find out how much each part is worth, we divide $60 by 3, which gives us $20 per part. Since Lamar's share is 4 parts of the ratio, we multiply $20 by 4, which gives us $80. Therefore, Lamar received $80.Rate this question:
-
- 39.
For the Proportion.... If a:72 = 30:41, then a = Write your answer to the tenths decimal place.
Correct Answer
52.7Explanation
The given proportion states that the ratio of a to 72 is equal to the ratio of 30 to 41. To find the value of a, we can set up a proportion by cross-multiplying. Cross-multiplying gives us 30 * 72 = 41 * a. Simplifying this equation, we get 2160 = 41a. Dividing both sides by 41, we find that a is equal to 52.7 to the tenths decimal place.Rate this question:
- 40.
At the local zoo, there are 4 penguins, 8 parrots, and 3 monkeys. What is the ratio of monkeys to total animals?
- A.
3/15
- B.
3/4
- C.
1/4
Correct Answer
A. 3/15Explanation
The ratio of monkeys to total animals can be found by dividing the number of monkeys (3) by the total number of animals (4 penguins + 8 parrots + 3 monkeys = 15 animals). So, the ratio is 3/15.Rate this question:
-
- 41.
What ratio is equal in proportion to 8:12
- A.
16:20
- B.
2:3
- C.
24:38
Correct Answer
B. 2:3Explanation
The ratio 8:12 can be simplified by dividing both numbers by their greatest common divisor, which is 4. This gives us the simplified ratio of 2:3. Therefore, any ratio that is equal in proportion to 8:12 must also have the same simplified ratio of 2:3. The only answer choice that matches this is 2:3.Rate this question:
-
- 42.
A car can travel 300 miles on 30 gallons of gas. How much gas will it need to go 260 miles?
- A.
13
- B.
26
- C.
10
- D.
28
Correct Answer
B. 26Explanation
Set a proportion box. You would have gone 10 miles on 1 gallon of gas. The scale factor would be 26 because 10x26= 260. The amount of gas need would be (B) 26 beacause 1x26=26.Rate this question:
-
- 43.
A Unit Rate describes the cost of MORE THAN one item?
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
A unit rate describes the cost (or other measure) of one item or unit. It represents the amount of a quantity (such as cost, distance, time) per one unit. For example, if you buy 3 items for $15, the unit rate would be $5 per item. Therefore, a unit rate describes the cost of one item, not more than one item.Rate this question:
-
- 44.
2 oranges for $0.50 What is the unit rate?
- A.
$.25
- B.
$.25 per dollar
- C.
$.25 per orange
Correct Answer
C. $.25 per orangeExplanation
The unit rate is $.25 per orange because the given information states that 2 oranges can be bought for $0.50. To find the unit rate, we divide the cost of the oranges by the number of oranges. In this case, $0.50 divided by 2 equals $.25, which means that each orange costs $.25.Rate this question:
-
- 45.
5 cases of soda for $15.50. Find the unit rate.
- A.
$3.10
- B.
$77.50
- C.
$3.00
- D.
$5.00
Correct Answer
A. $3.10Explanation
The unit rate can be found by dividing the total cost of the soda ($15.50) by the number of cases (5). This gives us a unit rate of $3.10 per case.Rate this question:
-
- 46.
TRUE or FALSE The two triangles above are PROPORTIONAL to each other.
- A.
True
- B.
False
Correct Answer
A. TrueExplanation
The statement is true because two triangles are proportional when their corresponding sides are in proportion. In the given question, it is not mentioned explicitly, but it can be assumed that the two triangles are similar. If two triangles are similar, then their corresponding sides are proportional, making the statement true.Rate this question:
-
- 47.
What is the largest number of people that could share 72 apples and 54 bananas?
Correct Answer
18Explanation
To find the largest number of people who can share 72 apples and 54 bananas equally, we need to determine the greatest common divisor (GCD) of 72 and 54.
First, let's find the prime factorization of both numbers:
- 72 = 2^3 * 3^2
- 54 = 2 * 3^3
Next, we identify the common factors:
- Both have 2 and 3 as factors, but the smallest power of 2 is 2^1 and the smallest power of 3 is 3^2.
The GCD is the product of these common factors:
GCD(72, 54) = 2^1 * 3^2 = 2 * 9 = 18
So, the largest number of people who can share 72 apples and 54 bananas equally is 18.Rate this question:
- 48.
Which is the GCF of 18 and 24?
- A.
18
- B.
6
- C.
12
- D.
24
Correct Answer
B. 6Explanation
The greatest common factor (GCF) is the largest number that divides both 18 and 24 without leaving a remainder. To find the GCF, we can list the factors of both numbers and find the largest one they have in common. The factors of 18 are 1, 2, 3, 6, 9, and 18. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The largest number they have in common is 6, so the GCF of 18 and 24 is 6.Rate this question:
-
- 49.
What is the GCF of 10 and 21?
Correct Answer
1Explanation
The greatest common factor (GCF) of two numbers is the largest number that divides both of them without leaving a remainder. In this case, the numbers 10 and 21 do not have any common factors other than 1. Therefore, the GCF of 10 and 21 is 1.Rate this question:
- 50.
What is the LCM of 12 and 7?
- A.
8
- B.
14
- C.
84
- D.
49
Correct Answer
C. 84Explanation
The LCM (Least Common Multiple) is the smallest number that is a multiple of both 12 and 7. To find the LCM, we can list the multiples of both numbers and find the smallest common multiple. The multiples of 12 are: 12, 24, 36, 48, 60, 72, 84... The multiples of 7 are: 7, 14, 21, 28, 35, 42, 49... The smallest number that appears in both lists is 84, so 84 is the LCM of 12 and 7.Rate this question:
-
.webp "TRUE or FALSE
The two triangles above are PROPORTIONAL to each other.")
Quiz Review Timeline +
Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.
-
Current Version
-
Mar 21, 2024Quiz Edited by
ProProfs Editorial Team -
Jun 01, 2014Quiz Created by
David
- Algebra Quizzes
- Arithmetic Quizzes
- Calculus Quizzes
- Data Handling Quizzes
- Decimal Quizzes
- Discrete Mathematics Quizzes
- Equation Quizzes
- Fraction Quizzes
- Function Quizzes
- Geometry Quizzes
- Graph Quizzes
- Measurement Quizzes
- Number Quizzes
- Percentage Quizzes
- Place Value Quizzes
- Problem Solving Quizzes
- Ratio Quizzes
- Shape Quizzes
- Trigonometry Quizzes
Back to top