Maths-

General

Easy

Question

# If 18 binders can bind 900 books in 10 days, how many binders will be required to bind 660 books in 12 days?

Hint:

**Hint:**

In a proportional relationship, the variables are related by a constant ratio(k). For example, the equation which can relate the two variables can be written in the form:

y = (constant) x or y = k x.

So, for solving these types of questions we need to create a proportional relationship between the variables. These relationships can be direct, inverse etc.

## The correct answer is: 12 days.

### Let the number of binders be represented as x, the number of books be represented as y and the number of days be represented as z. Now, more books will mean we will require more binders so x and y will have a directly proportional relationship i.e

x y

Now if more days are given, fewer binders will be required which means x and z have an inversely proportional relationship i.e

x

So, we can say that

x

x = k …….(1)

Where k is a proportionality constant

Step 1 of 2:

It is given that 18 binders can bind 900 books in 10 days. So, x = 18, y = 900 and z = 10. Putting the values in equation (1)

18 = k

k = =

Step 2 of 2:

Now we are asked to find the number of binders that will be required to bind 660 books in 12 days. Let the number of binders be “b”. So, x = b, y = 660 and z = 12. Putting the values in equation (1)

b = k

Now, put the value of k =

d =

d = 11 binders

Final Answer:

Hence, 11 binders will be required to bind 660 books in 12 days.

### Related Questions to study

Maths-

### A fort had enough food for 80 soldiers for 60 days. How long would the food last if 20 more soldiers join after 15 days?

Let the number of days be represented as x and the number of soldiers be represented as y. The number of days will decrease if the number of soldiers are increased so we can conclude that y is in inverse relationship with x. Let’s say the proportional relationship is given as

y = ……..(1)

Step 1 of 2:

After 15 days, the food is sufficient for 80 soldiers for (60 – 15) days = 45 days. So, x = 45 and y = 80. Putting the values in equation (1)

80 =

k = 80 45 = 3600

Step 2 of 2:

Now we are asked to find the number of days the food will last if 20 more soldiers will join after 15 days. So, the total number of students becomes 100. Let the number of days be “d”. So, x = d and y = 100. Putting the values in equation (1)

100 =

Now, put the value of k = 3600

d =

d = 36 days

Final Answer:

Hence, the food will last for 36 days if 20 more soldiers join after 15 days.

y = ……..(1)

Step 1 of 2:

After 15 days, the food is sufficient for 80 soldiers for (60 – 15) days = 45 days. So, x = 45 and y = 80. Putting the values in equation (1)

80 =

k = 80 45 = 3600

Step 2 of 2:

Now we are asked to find the number of days the food will last if 20 more soldiers will join after 15 days. So, the total number of students becomes 100. Let the number of days be “d”. So, x = d and y = 100. Putting the values in equation (1)

100 =

Now, put the value of k = 3600

d =

d = 36 days

Final Answer:

Hence, the food will last for 36 days if 20 more soldiers join after 15 days.

### A fort had enough food for 80 soldiers for 60 days. How long would the food last if 20 more soldiers join after 15 days?

Maths-General

Let the number of days be represented as x and the number of soldiers be represented as y. The number of days will decrease if the number of soldiers are increased so we can conclude that y is in inverse relationship with x. Let’s say the proportional relationship is given as

y = ……..(1)

Step 1 of 2:

After 15 days, the food is sufficient for 80 soldiers for (60 – 15) days = 45 days. So, x = 45 and y = 80. Putting the values in equation (1)

80 =

k = 80 45 = 3600

Step 2 of 2:

Now we are asked to find the number of days the food will last if 20 more soldiers will join after 15 days. So, the total number of students becomes 100. Let the number of days be “d”. So, x = d and y = 100. Putting the values in equation (1)

100 =

Now, put the value of k = 3600

d =

d = 36 days

Final Answer:

Hence, the food will last for 36 days if 20 more soldiers join after 15 days.

y = ……..(1)

Step 1 of 2:

After 15 days, the food is sufficient for 80 soldiers for (60 – 15) days = 45 days. So, x = 45 and y = 80. Putting the values in equation (1)

80 =

k = 80 45 = 3600

Step 2 of 2:

Now we are asked to find the number of days the food will last if 20 more soldiers will join after 15 days. So, the total number of students becomes 100. Let the number of days be “d”. So, x = d and y = 100. Putting the values in equation (1)

100 =

Now, put the value of k = 3600

d =

d = 36 days

Final Answer:

Hence, the food will last for 36 days if 20 more soldiers join after 15 days.

Maths-

### A hostel has enough food for 125 students for 16 days. How long will the food last if 75 more students join them?

Let the number of days be represented as x and the number of students be represented as y. The number of days will decrease if the number of students are increased so we can conclude that y is in inverse relationship with x. Let’s say the proportional relationship is given as

y = ……..(1)

Step 1 of 2:

It is given that a hostel has enough food for 125 students for 16 days i.e. x = 16 and y = 125. Putting the values in equation (1)

125 =

k = 125 16 = 2000

Step 2 of 2:

Now we are asked to find the number of days the food will last if 75 more students join. So, the total number of students becomes 200. Let the number of days be “d”. So, x = d and y = 200. Putting the values in equation (1)

200 =

Now, put the value of k = 2000

d =

d = 10 days

Final Answer:

Hence, the food will last for 10 days if 75 more students join.

y = ……..(1)

Step 1 of 2:

It is given that a hostel has enough food for 125 students for 16 days i.e. x = 16 and y = 125. Putting the values in equation (1)

125 =

k = 125 16 = 2000

Step 2 of 2:

Now we are asked to find the number of days the food will last if 75 more students join. So, the total number of students becomes 200. Let the number of days be “d”. So, x = d and y = 200. Putting the values in equation (1)

200 =

Now, put the value of k = 2000

d =

d = 10 days

Final Answer:

Hence, the food will last for 10 days if 75 more students join.

### A hostel has enough food for 125 students for 16 days. How long will the food last if 75 more students join them?

Maths-General

Let the number of days be represented as x and the number of students be represented as y. The number of days will decrease if the number of students are increased so we can conclude that y is in inverse relationship with x. Let’s say the proportional relationship is given as

y = ……..(1)

Step 1 of 2:

It is given that a hostel has enough food for 125 students for 16 days i.e. x = 16 and y = 125. Putting the values in equation (1)

125 =

k = 125 16 = 2000

Step 2 of 2:

Now we are asked to find the number of days the food will last if 75 more students join. So, the total number of students becomes 200. Let the number of days be “d”. So, x = d and y = 200. Putting the values in equation (1)

200 =

Now, put the value of k = 2000

d =

d = 10 days

Final Answer:

Hence, the food will last for 10 days if 75 more students join.

y = ……..(1)

Step 1 of 2:

It is given that a hostel has enough food for 125 students for 16 days i.e. x = 16 and y = 125. Putting the values in equation (1)

125 =

k = 125 16 = 2000

Step 2 of 2:

Now we are asked to find the number of days the food will last if 75 more students join. So, the total number of students becomes 200. Let the number of days be “d”. So, x = d and y = 200. Putting the values in equation (1)

200 =

Now, put the value of k = 2000

d =

d = 10 days

Final Answer:

Hence, the food will last for 10 days if 75 more students join.

Maths-

### 12 men can dig a pond in 8 days. How many men can dig it in 6 days?

Let the number of days be represented as x and the number of men be represented as y. The number of men will increase if the number of days are decreased so we can conclude that y is in inverse relationship with x. Let’s say the proportional relationship is given as

y = ……..(1)

Step 1 of 2:

It is given that 12 men can dig a pond in 8 days i.e. x = 8 and y = 12. Putting the values in equation (1)

12 =

k = 12 8 = 96

Step 2 of 2:

Now we are asked to find the number of men if 6 days are taken by them. Let the number of men be “m”. So, x = 6 and y = m. Putting the values in equation (1)

m =

Now, put the value of k = 96

m =

m = 16 men

Final Answer:

Hence, 16 men can dig the pond in 6 days.

y = ……..(1)

Step 1 of 2:

It is given that 12 men can dig a pond in 8 days i.e. x = 8 and y = 12. Putting the values in equation (1)

12 =

k = 12 8 = 96

Step 2 of 2:

Now we are asked to find the number of men if 6 days are taken by them. Let the number of men be “m”. So, x = 6 and y = m. Putting the values in equation (1)

m =

Now, put the value of k = 96

m =

m = 16 men

Final Answer:

Hence, 16 men can dig the pond in 6 days.

### 12 men can dig a pond in 8 days. How many men can dig it in 6 days?

Maths-General

Let the number of days be represented as x and the number of men be represented as y. The number of men will increase if the number of days are decreased so we can conclude that y is in inverse relationship with x. Let’s say the proportional relationship is given as

y = ……..(1)

Step 1 of 2:

It is given that 12 men can dig a pond in 8 days i.e. x = 8 and y = 12. Putting the values in equation (1)

12 =

k = 12 8 = 96

Step 2 of 2:

Now we are asked to find the number of men if 6 days are taken by them. Let the number of men be “m”. So, x = 6 and y = m. Putting the values in equation (1)

m =

Now, put the value of k = 96

m =

m = 16 men

Final Answer:

Hence, 16 men can dig the pond in 6 days.

y = ……..(1)

Step 1 of 2:

It is given that 12 men can dig a pond in 8 days i.e. x = 8 and y = 12. Putting the values in equation (1)

12 =

k = 12 8 = 96

Step 2 of 2:

Now we are asked to find the number of men if 6 days are taken by them. Let the number of men be “m”. So, x = 6 and y = m. Putting the values in equation (1)

m =

Now, put the value of k = 96

m =

m = 16 men

Final Answer:

Hence, 16 men can dig the pond in 6 days.

Maths-

### If 32 men can reap a field in 15 days, in how many days can 20 men reap the same field?

Let the number of days be represented as x and the number of men be represented as y. The number of men will increase if the number of days are decreased so we can conclude that y is in inverse relationship with x. Let’s say the proportional relationship is given as

y = ……..(1)

Step 1 of 2:

It is given that 32 men can reap a field in 15 days i.e. x = 15 and y = 32. Putting the values in equation (1)

32 =

k = 32 15 = 480

Step 2 of 2:

Now we are asked to find the number of days taken by 20 men. Let the number of days be “d”. So, x = d and y = 20. Putting the values in equation (1)

20 =

Now, put the value of k = 480

20 =

d =

d = 24 days

Final Answer:

Hence, the number of days taken by 20 men to reap the field are 24 days.

y = ……..(1)

Step 1 of 2:

It is given that 32 men can reap a field in 15 days i.e. x = 15 and y = 32. Putting the values in equation (1)

32 =

k = 32 15 = 480

Step 2 of 2:

Now we are asked to find the number of days taken by 20 men. Let the number of days be “d”. So, x = d and y = 20. Putting the values in equation (1)

20 =

Now, put the value of k = 480

20 =

d =

d = 24 days

Final Answer:

Hence, the number of days taken by 20 men to reap the field are 24 days.

### If 32 men can reap a field in 15 days, in how many days can 20 men reap the same field?

Maths-General

Let the number of days be represented as x and the number of men be represented as y. The number of men will increase if the number of days are decreased so we can conclude that y is in inverse relationship with x. Let’s say the proportional relationship is given as

y = ……..(1)

Step 1 of 2:

It is given that 32 men can reap a field in 15 days i.e. x = 15 and y = 32. Putting the values in equation (1)

32 =

k = 32 15 = 480

Step 2 of 2:

Now we are asked to find the number of days taken by 20 men. Let the number of days be “d”. So, x = d and y = 20. Putting the values in equation (1)

20 =

Now, put the value of k = 480

20 =

d =

d = 24 days

Final Answer:

Hence, the number of days taken by 20 men to reap the field are 24 days.

y = ……..(1)

Step 1 of 2:

It is given that 32 men can reap a field in 15 days i.e. x = 15 and y = 32. Putting the values in equation (1)

32 =

k = 32 15 = 480

Step 2 of 2:

Now we are asked to find the number of days taken by 20 men. Let the number of days be “d”. So, x = d and y = 20. Putting the values in equation (1)

20 =

Now, put the value of k = 480

20 =

d =

d = 24 days

Final Answer:

Hence, the number of days taken by 20 men to reap the field are 24 days.

General

### Identify the common noun among the following

Explanation-A common noun is a name of a place , person , thing, idea or animal. It does not give any specifications. Hence opt a is the correct answer.

### Identify the common noun among the following

GeneralGeneral

Explanation-A common noun is a name of a place , person , thing, idea or animal. It does not give any specifications. Hence opt a is the correct answer.

General

### Identify the definition of ‘oxymoron’.

Explanation-An oxymoron is a figure of speech that combines contradictory words with opposing meanings. Hence opt d is the correct answer.

### Identify the definition of ‘oxymoron’.

GeneralGeneral

Explanation-An oxymoron is a figure of speech that combines contradictory words with opposing meanings. Hence opt d is the correct answer.

General

### Identify the definition of ‘analogies’.

Explanation-Analogy means a correspondence or partial similarity. Hence opt b is the correct answer.

### Identify the definition of ‘analogies’.

GeneralGeneral

Explanation-Analogy means a correspondence or partial similarity. Hence opt b is the correct answer.

General

### Identify the definition of ‘supporting detail’.

Explanation-supporting details provide information to clarify or prove or to explain the main idea. Hence opt a is the correct answer.

### Identify the definition of ‘supporting detail’.

GeneralGeneral

Explanation-supporting details provide information to clarify or prove or to explain the main idea. Hence opt a is the correct answer.

General

### Identify synonym for the word ‘perfect’.

Synonyms are usually the words that have same meaning to the other word. The word ideal also has same meaning as that of the word ‘perfect’. Hence opt d is the correct answer.

### Identify synonym for the word ‘perfect’.

GeneralGeneral

Synonyms are usually the words that have same meaning to the other word. The word ideal also has same meaning as that of the word ‘perfect’. Hence opt d is the correct answer.

General

### Identify the reflexive pronoun among the following.

Reflexive pronouns are words like yourself, himself, herself, ourselves and refer to a person or thing. Hence opt c is the correct answer.

### Identify the reflexive pronoun among the following.

GeneralGeneral

Reflexive pronouns are words like yourself, himself, herself, ourselves and refer to a person or thing. Hence opt c is the correct answer.

General

### Identify past tense of the word ‘tread’

past tense means a tense expressing an action that has happened some time ago. Among the given options opt a is in the past tense form. Hence it is the correct answer.

### Identify past tense of the word ‘tread’

GeneralGeneral

past tense means a tense expressing an action that has happened some time ago. Among the given options opt a is in the past tense form. Hence it is the correct answer.

General

### Identify the word that rhymes with ‘please’

Rhyming words means usually the words that end with an identical sound to one another. Among given options seize is the word that rhymes with please. Hence opt-c is the correct answer.

### Identify the word that rhymes with ‘please’

GeneralGeneral

Rhyming words means usually the words that end with an identical sound to one another. Among given options seize is the word that rhymes with please. Hence opt-c is the correct answer.

General

### Identify antonym for the word ‘learn’

Antonyms are usually the words that have same meaning to the other word. The word miss has exactly opposite meaning as that of the word ‘learn’. Hence opt b is the correct answer.

### Identify antonym for the word ‘learn’

GeneralGeneral

Antonyms are usually the words that have same meaning to the other word. The word miss has exactly opposite meaning as that of the word ‘learn’. Hence opt b is the correct answer.

General

### Identify thesaurus for the word ‘create’

Thesaurus means usually a book of words and their synonyms. Among the given options generate is one of the synonym of the word ‘create’. Hence opt d is the correct answer.

### Identify thesaurus for the word ‘create’

GeneralGeneral

Thesaurus means usually a book of words and their synonyms. Among the given options generate is one of the synonym of the word ‘create’. Hence opt d is the correct answer.

General

### Identify the synonym for the word ‘Repair’.

Synonyms are usually the words that have same meaning to the other word. The word mend also has same meaning as that of the word ‘repair’. Hence opt a is the correct answer.

### Identify the synonym for the word ‘Repair’.

GeneralGeneral

Synonyms are usually the words that have same meaning to the other word. The word mend also has same meaning as that of the word ‘repair’. Hence opt a is the correct answer.