Sasi Math (Revised for 1024)

Scroll:Life mathematics >> profit and loss >> saq (4294)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.

If 30compositors can compose 50 pages of a book in 10 hrs,how many compositors will compose 95 pages of this book in 15 hrs

Answer:_______________

If 21compositors can compose 50 pages of a book in 10 hrs,how many compositors will compose 85 pages of this book in 17 hrs

Answer:_______________

If 27compositors can compose 60 pages of a book in 7 hrs,how many compositors will compose 91 pages of this book in 24 hrs

Answer:_______________

If 25compositors can compose 55 pages of a book in 10 hrs,how many compositors will compose 86 pages of this book in 25 hrs

Answer:_______________

If 21compositors can compose 65 pages of a book in 8 hrs,how many compositors will compose 97 pages of this book in 23 hrs

Answer:_______________

If 21compositors can compose 65 pages of a book in 9 hrs,how many compositors will compose 82 pages of this book in 22 hrs

Answer:_______________

If 24compositors can compose 65 pages of a book in 7 hrs,how many compositors will compose 99 pages of this book in 20 hrs

Answer:_______________

If 20compositors can compose 55 pages of a book in 7 hrs,how many compositors will compose 81 pages of this book in 22 hrs

Answer:_______________

If 29compositors can compose 70 pages of a book in 5 hrs,how many compositors will compose 84 pages of this book in 24 hrs

Answer:_______________

10)

If 20compositors can compose 60 pages of a book in 7 hrs,how many compositors will compose 98 pages of this book in 20 hrs

Answer:_______________

If 30compositors can compose 50 pages of a book in 10 hrs,how many compositors will compose 95 pages of this book in 15 hrs

Answer: 38

SOLUTION 1 :

Soln :

Number of compositors	Number of hrs	Number of pages
30	10	50
	15	95

Consider the compositors and pages

As the No of pages increase from 50 to 95 & theNo of compositors also increases.

It is in direct variation.

The multiplying factor = $\frac{95}{50}$

Consider the copmositors and hours .

As the No of hrs increases from 10 to 15 & the No of compositors decreases .

it is in inverse variation.

The multiplying factor = $\frac{10}{15}$

x = $\frac{95}{50}$ x $\frac{10}{15}$ x 30

= 1.9 x 0.66666666666667 x 30

= 38

If 21compositors can compose 50 pages of a book in 10 hrs,how many compositors will compose 85 pages of this book in 17 hrs

Answer: 21

SOLUTION 1 :

Soln :

Number of compositors	Number of hrs	Number of pages
21	10	50
	17	85

Consider the compositors and pages

As the No of pages increase from 50 to 85 & theNo of compositors also increases.

It is in direct variation.

The multiplying factor = $\frac{85}{50}$

Consider the copmositors and hours .

As the No of hrs increases from 10 to 17 & the No of compositors decreases .

it is in inverse variation.

The multiplying factor = $\frac{10}{17}$

x = $\frac{85}{50}$ x $\frac{10}{17}$ x 21

= 1.7 x 0.58823529411765 x 21

= 21

If 27compositors can compose 60 pages of a book in 7 hrs,how many compositors will compose 91 pages of this book in 24 hrs

Answer: 12

SOLUTION 1 :

Soln :

Number of compositors	Number of hrs	Number of pages
27	7	60
	24	91

Consider the compositors and pages

As the No of pages increase from 60 to 91 & theNo of compositors also increases.

It is in direct variation.

The multiplying factor = $\frac{91}{60}$

Consider the copmositors and hours .

As the No of hrs increases from 7 to 24 & the No of compositors decreases .

it is in inverse variation.

The multiplying factor = $\frac{7}{24}$

x = $\frac{91}{60}$ x $\frac{7}{24}$ x 27

= 1.5166666666667 x 0.29166666666667 x 27

= 12

If 25compositors can compose 55 pages of a book in 10 hrs,how many compositors will compose 86 pages of this book in 25 hrs

Answer: 16

SOLUTION 1 :

Soln :

Number of compositors	Number of hrs	Number of pages
25	10	55
	25	86

Consider the compositors and pages

As the No of pages increase from 55 to 86 & theNo of compositors also increases.

It is in direct variation.

The multiplying factor = $\frac{86}{55}$

Consider the copmositors and hours .

As the No of hrs increases from 10 to 25 & the No of compositors decreases .

it is in inverse variation.

The multiplying factor = $\frac{10}{25}$

x = $\frac{86}{55}$ x $\frac{10}{25}$ x 25

= 1.5636363636364 x 0.4 x 25

= 16

If 21compositors can compose 65 pages of a book in 8 hrs,how many compositors will compose 97 pages of this book in 23 hrs

Answer: 11

SOLUTION 1 :

Soln :

Number of compositors	Number of hrs	Number of pages
21	8	65
	23	97

Consider the compositors and pages

As the No of pages increase from 65 to 97 & theNo of compositors also increases.

It is in direct variation.

The multiplying factor = $\frac{97}{65}$

Consider the copmositors and hours .

As the No of hrs increases from 8 to 23 & the No of compositors decreases .

it is in inverse variation.

The multiplying factor = $\frac{8}{23}$

x = $\frac{97}{65}$ x $\frac{8}{23}$ x 21

= 1.4923076923077 x 0.34782608695652 x 21

= 11

If 21compositors can compose 65 pages of a book in 9 hrs,how many compositors will compose 82 pages of this book in 22 hrs

Answer: 11

SOLUTION 1 :

Soln :

Number of compositors	Number of hrs	Number of pages
21	9	65
	22	82

Consider the compositors and pages

As the No of pages increase from 65 to 82 & theNo of compositors also increases.

It is in direct variation.

The multiplying factor = $\frac{82}{65}$

Consider the copmositors and hours .

As the No of hrs increases from 9 to 22 & the No of compositors decreases .

it is in inverse variation.

The multiplying factor = $\frac{9}{22}$

x = $\frac{82}{65}$ x $\frac{9}{22}$ x 21

= 1.2615384615385 x 0.40909090909091 x 21

= 11

If 24compositors can compose 65 pages of a book in 7 hrs,how many compositors will compose 99 pages of this book in 20 hrs

Answer: 13

SOLUTION 1 :

Soln :

Number of compositors	Number of hrs	Number of pages
24	7	65
	20	99

Consider the compositors and pages

As the No of pages increase from 65 to 99 & theNo of compositors also increases.

It is in direct variation.

The multiplying factor = $\frac{99}{65}$

Consider the copmositors and hours .

As the No of hrs increases from 7 to 20 & the No of compositors decreases .

it is in inverse variation.

The multiplying factor = $\frac{7}{20}$

x = $\frac{99}{65}$ x $\frac{7}{20}$ x 24

= 1.5230769230769 x 0.35 x 24

= 13

If 20compositors can compose 55 pages of a book in 7 hrs,how many compositors will compose 81 pages of this book in 22 hrs

Answer: 9

SOLUTION 1 :

Soln :

Number of compositors	Number of hrs	Number of pages
20	7	55
	22	81

Consider the compositors and pages

As the No of pages increase from 55 to 81 & theNo of compositors also increases.

It is in direct variation.

The multiplying factor = $\frac{81}{55}$

Consider the copmositors and hours .

As the No of hrs increases from 7 to 22 & the No of compositors decreases .

it is in inverse variation.

The multiplying factor = $\frac{7}{22}$

x = $\frac{81}{55}$ x $\frac{7}{22}$ x 20

= 1.4727272727273 x 0.31818181818182 x 20

= 9

If 29compositors can compose 70 pages of a book in 5 hrs,how many compositors will compose 84 pages of this book in 24 hrs

Answer: 7

SOLUTION 1 :

Soln :

Number of compositors	Number of hrs	Number of pages
29	5	70
	24	84

Consider the compositors and pages

As the No of pages increase from 70 to 84 & theNo of compositors also increases.

It is in direct variation.

The multiplying factor = $\frac{84}{70}$

Consider the copmositors and hours .

As the No of hrs increases from 5 to 24 & the No of compositors decreases .

it is in inverse variation.

The multiplying factor = $\frac{5}{24}$

x = $\frac{84}{70}$ x $\frac{5}{24}$ x 29

= 1.2 x 0.20833333333333 x 29

= 7

10)

If 20compositors can compose 60 pages of a book in 7 hrs,how many compositors will compose 98 pages of this book in 20 hrs

Answer: 11

SOLUTION 1 :

Soln :

Number of compositors	Number of hrs	Number of pages
20	7	60
	20	98

Consider the compositors and pages

As the No of pages increase from 60 to 98 & theNo of compositors also increases.

It is in direct variation.

The multiplying factor = $\frac{98}{60}$

Consider the copmositors and hours .

As the No of hrs increases from 7 to 20 & the No of compositors decreases .

it is in inverse variation.

The multiplying factor = $\frac{7}{20}$

x = $\frac{98}{60}$ x $\frac{7}{20}$ x 20

= 1.6333333333333 x 0.35 x 20

= 11